I numeri primi non rappresentabili come x2 + ny2 per i vari n idonei

La tabella seguente mostra i numeri primi non rappresentabili come x2 + ny2 per i vari n idonei.

n

Primi non rappresentabili

1

4k + 3

2

8k + 5, 8k + 7

3

3k + 2

4

2, 4k + 3

5

2, 20k + { 3, 7, 11, 13, 17, 19 }

6

2, 3, 24k + { 5, 11, 13, 17, 19, 23 }

7

2, 7k + { 3, 5, 6 }

8

2, 8k + { 3, 5, 7 }

9

2, 3, 12k + { 5, 7, 11 }

10

2, 5, 40k + { 3, 7, 13, 17, 21, 23, 27, 29, 31, 33, 37, 39 }

12

2, 3, 12k + { 5, 7, 11 }

13

2, 52k + { 3, 5, 7, 11, 15, 19, 21, 23, 27, 31, 33, 35, 37, 41, 43, 45, 47, 51 }

15

3, 5, 15k + { 2, 7, 8, 11, 13, 14 }

16

2, 8k + { 3, 5, 7 }

18

2, 3, 24k + { 5, 7, 11, 13, 17, 23 }

21

2, 3, 7, 84k + { 5, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 55, 59, 61, 65, 67, 71, 73, 79, 83 }

22

2, 11, 88k + { 3, 5, 7, 13, 17, 19, 21, 27, 29, 35, 37, 39, 41, 43, 45, 51, 53, 57, 59, 61, 63, 65, 67, 69, 73, 75, 79, 83, 85, 87 }

24

2, 3, 24k + { 5, 7, 11, 13, 17, 19, 23 }

25

2, 5, 20k + { 3, 7, 11, 13, 17, 19 }

28

2, 7, 28k + { 3, 5, 11, 13, 15, 17, 19, 23, 27 }

30

2, 3, 5, 120k + { 7, 11, 13, 17, 19, 23, 29, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 77, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119 }

33

2, 3, 11, 132k + { 5, 7, 13, 17, 19, 23, 29, 31, 35, 41, 43, 47, 53, 59, 61, 65, 67, 71, 73, 79, 83, 85, 89, 91, 95, 101, 103, 107, 109, 113, 115, 119, 125, 127, 131 }

37

2, 148k + { 3, 5, 7, 11, 13, 15, 17, 19, 23, 27, 29, 31, 35, 39, 43, 45, 47, 51, 55, 57, 59, 61, 63, 67, 69, 71, 75, 79, 83, 87, 89, 91, 93, 95, 97, 99, 103, 105, 107, 109, 113, 115, 117, 119, 123, 125, 127, 129, 131, 133, 135, 139, 143, 147 }

40

2, 5, 40k + { 3, 7, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39 }

42

2, 3, 7, 168k + { 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 55, 59, 61, 65, 71, 73, 79, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 137, 139, 143, 145, 149, 151, 155, 157, 167 }

45

2, 3, 5, 60k + { 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 }

48

2, 3, 24k + { 5, 7, 11, 13, 17, 19, 23 }

57

2, 3, 19, 228k + { 5, 7, 11, 13, 17, 23, 29, 31, 35, 37, 41, 43, 47, 53, 55, 59, 65, 67, 71, 77, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 115, 119, 125, 127, 131, 137, 139, 143, 145, 149, 151, 155, 161, 163, 167, 173, 175, 179, 181, 185, 187, 191, 193, 197, 199, 203, 205, 211, 215, 217, 221, 223, 227 }

58

2, 29, 232k + { 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 27, 31, 37, 39, 41, 43, 45, 47, 53, 55, 61, 63, 69, 71, 73, 75, 77, 79, 85, 89, 93, 95, 97, 99, 101, 103, 105, 109, 111, 113, 117, 119, 125, 127, 131, 133, 135, 137, 141, 143, 147, 149, 151, 153, 155, 157, 159, 163, 165, 167, 171, 173, 175, 177, 181, 183, 185, 189, 191, 193, 195, 197, 199, 201, 205, 207, 211, 213, 215, 217, 221, 223, 229, 231 }

60

2, 3, 5, 60k + { 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 }

70

2, 5, 7, 280k + { 3, 11, 13, 17, 19, 23, 27, 29, 31, 33, 37, 41, 43, 47, 51, 53, 57, 59, 61, 67, 69, 73, 83, 87, 89, 93, 97, 99, 101, 103, 107, 109, 111, 113, 117, 123, 127, 129, 131, 137, 139, 141, 143, 149, 153, 157, 159, 163, 167, 171, 173, 177, 179, 181, 183, 187, 193, 197, 199, 201, 207, 209, 211, 213, 219, 221, 223, 227, 229, 233, 237, 241, 243, 247, 251, 253, 257, 261, 263, 267, 269, 271, 277, 279 }

72

2, 3, 24k + { 5, 7, 11, 13, 17, 19, 23 }

78

2, 3, 13, 312k + { 5, 7, 11, 17, 19, 23, 29, 31, 35, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 77, 83, 85, 89, 95, 97, 101, 107, 109, 113, 115, 119, 125, 131, 133, 137, 139, 145, 149, 151, 155, 157, 161, 163, 167, 173, 175, 179, 181, 185, 187, 191, 193, 197, 203, 205, 209, 211, 215, 223, 227, 229, 233, 235, 239, 241, 245, 251, 253, 257, 259, 263, 265, 269, 271, 275, 277, 281, 283, 287, 293, 301, 305, 307, 311 }

85

2, 5, 17, 340k + { 3, 7, 11, 13, 19, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 53, 57, 59, 61, 63, 67, 71, 73, 77, 79, 83, 87, 91, 93, 97, 99, 103, 107, 109, 111, 113, 117, 123, 127, 129, 131, 133, 137, 139, 141, 143, 147, 151, 157, 159, 163, 167, 171, 173, 177, 179, 181, 183, 191, 193, 197, 199, 201, 203, 207, 209, 211, 213, 217, 219, 223, 227, 231, 233, 237, 239, 241, 243, 247, 249, 251, 253, 257, 259, 261, 263, 267, 269, 271, 273, 277, 279, 283, 287, 291, 293, 297, 299, 301, 303, 307, 309, 311, 313, 317, 319, 327, 329, 331, 333, 337, 339 }

88

2, 11, 88k + { 3, 5, 7, 13, 15, 17, 19, 21, 23, 27, 29, 31, 35, 37, 39, 41, 43, 45, 47, 51, 53, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 79, 83, 85, 87 }

93

2, 31, 372k + { 5, 7, 11, 13, 17, 19, 23, 29, 35, 37, 41, 43, 47, 53, 55, 59, 61, 65, 67, 71, 73, 77, 79, 83, 85, 89, 91, 95, 101, 103, 107, 113, 115, 119, 125, 127, 131, 137, 139, 143, 145, 149, 151, 161, 163, 167, 173, 175, 179, 181, 185, 187, 191, 197, 199, 203, 209, 211, 215, 221, 223, 227, 229, 233, 235, 239, 241, 245, 247, 251, 257, 259, 263, 265, 269, 271, 275, 277, 281, 283, 287, 293, 295, 299, 301, 305, 307, 311, 313, 317, 319, 323, 325, 329, 331, 335, 337, 343, 347, 353, 355, 359, 365, 367, 371 }

102

2, 3, 17, 408k + { 5, 7, 11, 13, 19, 23, 29, 31, 35, 37, 41, 43, 47, 53, 59, 61, 65, 67, 71, 73, 77, 79, 83, 89, 91, 95, 97, 101, 107, 109, 113, 115, 125, 131, 133, 137, 139, 143, 149, 155, 157, 161, 163, 167, 173, 175, 179, 181, 185, 191, 193, 197, 199, 203, 205, 209, 211, 215, 227, 229, 233, 235, 239, 241, 245, 251, 253, 257, 259, 263, 265, 269, 275, 277, 281, 283, 287, 293, 295, 299, 301, 305, 307, 311, 313, 317, 325, 329, 331, 335, 337, 341, 343, 347, 349, 353, 355, 359, 365, 367, 371, 373, 377, 379, 383, 385, 389, 395, 397, 401, 403, 407 }

105

2, 3, 5, 7, 420k + { 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 113, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 173, 179, 181, 187, 191, 193, 197, 199, 209, 211, 221, 223, 227, 229, 233, 239, 241, 247, 251, 253, 257, 263, 269, 271, 277, 281, 283, 293, 299, 307, 311, 313, 317, 319, 323, 331, 337, 341, 347, 349, 353, 359, 367, 373, 377, 379, 383, 389, 391, 397, 401, 403, 407, 409, 419 }

112

2, 7, 56k + { 3, 5, 11, 13, 15, 17, 19, 23, 27, 29, 31, 33, 37, 39, 41, 43, 45, 47, 51, 53, 55 }

120

2, 3, 5, 120k + { 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 77, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119 }

130

2, 5, 13, 520k + { 3, 7, 11, 17, 19, 21, 23, 27, 29, 31, 33, 37, 41, 43, 47, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 83, 87, 89, 93, 97, 99, 101, 103, 107, 109, 111, 113, 119, 123, 127, 133, 137, 141, 147, 149, 151, 153, 157, 159, 161, 163, 167, 171, 173, 177, 181, 183, 187, 189, 191, 193, 197, 199, 201, 203, 207, 213, 217, 219, 223, 227, 229, 231, 233, 237, 239, 241, 243, 249, 253, 257, 261, 263, 267, 269, 271, 277, 279, 281, 283, 287, 291, 293, 297, 301, 303, 307, 309, 311, 313, 317, 319, 323, 327, 331, 333, 337, 341, 343, 347, 349, 353, 357, 359, 363, 367, 369, 371, 373, 379, 381, 383, 387, 389, 391, 393, 397, 399, 401, 407, 409, 411, 413, 417, 421, 423, 427, 431, 433, 437, 439, 443, 447, 449, 453, 457, 461, 463, 467, 469, 471, 473, 477, 479, 483, 487, 489, 493, 497, 499, 501, 503, 509, 511, 513, 517, 519 }

133

2, 7, 19, 532k + { 3, 5, 11, 13, 15, 17, 23, 27, 29, 31, 33, 37, 39, 41, 43, 45, 47, 51, 53, 55, 59, 61, 65, 67, 69, 71, 73, 75, 79, 83, 87, 89, 97, 99, 101, 103, 107, 109, 111, 113, 115, 117, 123, 125, 127, 129, 131, 135, 139, 141, 143, 145, 151, 153, 155, 157, 159, 163, 165, 167, 173, 179, 181, 183, 185, 187, 191, 193, 195, 199, 201, 205, 207, 211, 213, 215, 219, 221, 223, 227, 229, 235, 237, 239, 241, 243, 249, 251, 255, 257, 261, 263, 265, 267, 269, 271, 275, 279, 281, 283, 291, 293, 295, 297, 299, 303, 307, 311, 313, 317, 319, 321, 325, 327, 331, 333, 335, 337, 339, 341, 345, 347, 349, 351, 353, 355, 359, 363, 367, 369, 373, 375, 377, 379, 381, 383, 387, 391, 393, 395, 397, 401, 403, 405, 407, 409, 411, 415, 417, 419, 421, 423, 425, 431, 433, 435, 439, 443, 445, 447, 449, 451, 453, 459, 461, 463, 465, 467, 471, 477, 479, 481, 485, 487, 489, 491, 493, 495, 499, 503, 507, 509, 515, 517, 519, 521, 523, 527, 531 }

165

2, 3, 5, 11, 660k + { 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119, 127, 131, 133, 137, 139, 149, 151, 157, 161, 163, 167, 173, 179, 191, 193, 197, 199, 203, 211, 217, 221, 223, 227, 233, 239, 241, 247, 251, 257, 259, 263, 269, 271, 277, 281, 283, 287, 293, 299, 307, 311, 313, 317, 323, 329, 331, 337, 343, 347, 349, 353, 359, 367, 371, 373, 377, 379, 383, 389, 391, 397, 401, 403, 409, 413, 419, 427, 431, 433, 437, 439, 443, 449, 457, 461, 463, 467, 469, 479, 481, 487, 491, 493, 497, 499, 503, 509, 511, 521, 523, 527, 533, 541, 547, 551, 553, 557, 559, 563, 569, 571, 577, 581, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 623, 629, 631, 637, 641, 643, 647, 653, 659 }

168

2, 3, 7, 168k + { 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 55, 59, 61, 65, 67, 71, 73, 79, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 137, 139, 143, 145, 149, 151, 155, 157, 163, 167 }

177

2, 3, 59, 708k + { 5, 7, 11, 13, 17, 19, 23, 29, 31, 35, 37, 41, 43, 47, 53, 55, 61, 65, 67, 71, 73, 77, 79, 83, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 125, 127, 131, 137, 139, 143, 149, 151, 155, 157, 161, 163, 167, 173, 175, 179, 185, 187, 191, 197, 199, 203, 209, 211, 215, 217, 221, 223, 227, 229, 233, 235, 239, 245, 247, 251, 257, 259, 263, 269, 271, 275, 281, 283, 287, 293, 299, 301, 305, 307, 311, 313, 317, 319, 323, 325, 329, 331, 335, 337, 341, 343, 347, 349, 353, 355, 359, 365, 367, 371, 377, 379, 383, 385, 389, 391, 395, 397, 401, 403, 407, 409, 415, 419, 421, 425, 427, 431, 437, 439, 443, 445, 449, 451, 455, 457, 461, 463, 467, 469, 473, 475, 479, 485, 487, 491, 497, 499, 503, 505, 509, 511, 515, 521, 523, 527, 533, 535, 539, 541, 545, 547, 551, 557, 559, 563, 565, 569, 571, 575, 581, 583, 587, 589, 593, 595, 599, 601, 605, 607, 611, 613, 617, 619, 623, 629, 631, 635, 637, 641, 643, 647, 653, 655, 659, 665, 667, 671, 673, 677, 679, 683, 689, 691, 695, 701, 703, 707 }

190

2, 5, 19, 760k + { 3, 7, 11, 13, 17, 21, 23, 27, 29, 31, 33, 37, 41, 43, 47, 51, 53, 59, 61, 63, 67, 69, 71, 73, 77, 79, 83, 87, 89, 91, 93, 97, 99, 101, 103, 107, 109, 113, 117, 123, 127, 129, 131, 137, 139, 141, 143, 147, 149, 151, 153, 157, 163, 167, 173, 177, 179, 181, 183, 187, 189, 193, 197, 203, 207, 211, 213, 217, 219, 221, 223, 227, 229, 231, 233, 237, 241, 243, 249, 251, 253, 257, 259, 261, 263, 267, 269, 273, 277, 279, 281, 283, 287, 291, 293, 297, 299, 301, 303, 307, 309, 313, 317, 319, 327, 331, 333, 337, 339, 341, 343, 347, 349, 353, 357, 363, 367, 369, 371, 373, 377, 379, 381, 383, 387, 389, 393, 397, 401, 403, 407, 409, 411, 413, 417, 419, 421, 423, 427, 429, 431, 433, 439, 443, 447, 449, 451, 453, 457, 459, 461, 463, 467, 469, 471, 473, 477, 483, 487, 489, 491, 493, 497, 499, 501, 503, 507, 509, 517, 521, 523, 527, 531, 533, 537, 539, 541, 543, 547, 549, 553, 557, 559, 561, 563, 567, 569, 571, 573, 577, 579, 581, 583, 587, 591, 593, 597, 599, 601, 603, 607, 611, 613, 617, 619, 621, 623, 629, 633, 637, 639, 641, 643, 647, 649, 651, 653, 657, 659, 661, 663, 667, 669, 673, 677, 679, 683, 687, 691, 693, 697, 699, 701, 707, 709, 711, 713, 717, 721, 723, 727, 731, 733, 737, 739, 743, 747, 749, 751, 753, 757, 759 }

210

2, 3, 5, 7, 840k + { 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 173, 179, 181, 187, 191, 193, 197, 199, 209, 221, 223, 227, 229, 233, 239, 241, 247, 251, 253, 257, 263, 269, 271, 277, 281, 283, 293, 299, 307, 311, 313, 317, 319, 323, 337, 341, 347, 349, 353, 359, 367, 373, 377, 383, 389, 391, 397, 401, 403, 407, 409, 419, 421, 431, 433, 437, 439, 443, 449, 451, 457, 461, 463, 467, 473, 479, 481, 487, 491, 493, 503, 509, 517, 521, 523, 527, 533, 541, 547, 551, 557, 559, 563, 569, 577, 583, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 629, 631, 641, 643, 647, 649, 653, 659, 661, 667, 671, 673, 677, 683, 689, 691, 697, 701, 703, 709, 713, 719, 727, 731, 733, 737, 743, 751, 757, 761, 767, 769, 773, 779, 781, 787, 793, 797, 799, 803, 809, 811, 817, 821, 823, 827, 829, 839 }

232

2, 29, 232k + { 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 51, 53, 55, 59, 61, 63, 67, 69, 71, 73, 75, 77, 79, 83, 85, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 123, 125, 127, 131, 133, 135, 137, 139, 141, 143, 147, 149, 151, 153, 155, 157, 159, 163, 165, 167, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 205, 207, 211, 213, 215, 217, 219, 221, 223, 227, 229, 231 }

240

2, 3, 5, 120k + { 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 77, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119 }

253

2, 11, 23, 1012k + { 3, 5, 7, 13, 15, 17, 19, 21, 27, 29, 31, 35, 37, 39, 41, 43, 45, 47, 51, 53, 57, 59, 61, 63, 65, 67, 71, 73, 75, 79, 83, 85, 87, 89, 91, 95, 97, 101, 103, 105, 107, 109, 111, 113, 117, 119, 123, 125, 127, 129, 131, 135, 137, 139, 145, 147, 149, 151, 153, 155, 157, 159, 163, 167, 171, 173, 175, 179, 181, 183, 189, 191, 193, 195, 197, 199, 201, 203, 205, 211, 215, 217, 219, 221, 223, 227, 229, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 255, 259, 261, 263, 267, 271, 273, 277, 279, 281, 283, 285, 287, 291, 293, 295, 303, 305, 307, 309, 311, 313, 315, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 343, 347, 349, 351, 355, 359, 365, 367, 369, 371, 373, 375, 379, 381, 383, 387, 389, 393, 395, 399, 401, 403, 405, 409, 411, 413, 415, 417, 419, 421, 423, 425, 427, 431, 433, 435, 439, 443, 447, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471, 475, 477, 479, 481, 487, 491, 493, 497, 499, 501, 503, 505, 507, 511, 513, 515, 519, 521, 523, 525, 527, 531, 535, 541, 543, 545, 547, 549, 551, 555, 557, 559, 563, 567, 569, 571, 573, 579, 585, 587, 589, 591, 593, 595, 597, 599, 601, 603, 607, 609, 611, 613, 615, 617, 619, 623, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 651, 655, 657, 659, 661, 663, 665, 673, 675, 677, 679, 681, 683, 687, 689, 691, 695, 697, 699, 701, 703, 705, 707, 709, 711, 717, 719, 721, 723, 725, 727, 731, 733, 735, 739, 741, 743, 745, 747, 751, 753, 755, 757, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 783, 787, 789, 791, 793, 795, 797, 799, 801, 807, 809, 811, 813, 815, 819, 821, 823, 827, 831, 833, 835, 839, 843, 845, 849, 853, 855, 857, 859, 861, 863, 865, 867, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 893, 895, 899, 901, 903, 907, 909, 911, 915, 917, 919, 921, 923, 925, 927, 931, 937, 939, 941, 945, 947, 951, 953, 955, 959, 963, 965, 967, 971, 973, 975, 977, 981, 983, 985, 987, 991, 995, 997, 999, 1003, 1007, 1009, 1011 }

273

2, 3, 7, 13, 1092k + { 5, 11, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 55, 59, 61, 67, 71, 73, 79, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 137, 139, 145, 149, 151, 155, 157, 163, 167, 173, 179, 181, 185, 187, 191, 193, 197, 199, 209, 211, 215, 223, 227, 229, 233, 235, 239, 241, 251, 253, 257, 263, 265, 269, 271, 275, 281, 283, 293, 295, 305, 307, 311, 313, 317, 319, 323, 331, 335, 341, 347, 349, 353, 355, 359, 365, 367, 379, 383, 389, 391, 395, 397, 401, 407, 409, 415, 419, 421, 425, 431, 433, 437, 439, 443, 449, 451, 457, 461, 463, 467, 473, 475, 479, 485, 487, 491, 493, 499, 503, 505, 509, 515, 517, 521, 523, 527, 535, 541, 545, 547, 551, 557, 563, 565, 569, 571, 575, 577, 583, 587, 593, 599, 601, 605, 607, 613, 617, 619, 629, 631, 635, 641, 643, 647, 649, 653, 655, 659, 661, 667, 671, 677, 683, 685, 691, 695, 697, 701, 703, 709, 713, 719, 725, 727, 731, 733, 737, 739, 743, 745, 751, 755, 761, 769, 773, 775, 779, 785, 787, 797, 799, 803, 809, 811, 815, 817, 821, 823, 827, 829, 835, 839, 851, 853, 857, 859, 863, 865, 869, 877, 881, 883, 887, 893, 895, 899, 901, 905, 907, 911, 913, 919, 925, 929, 935, 937, 941, 943, 947, 953, 955, 965, 967, 971, 977, 979, 983, 985, 989, 991, 995, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1025, 1031, 1033, 1037, 1039, 1045, 1049, 1051, 1055, 1061, 1063, 1067, 1069, 1073, 1075, 1081, 1087, 1091 }

280

2, 5, 7, 280k + { 3, 11, 13, 17, 19, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 51, 53, 57, 59, 61, 67, 69, 71, 73, 79, 83, 87, 89, 93, 97, 99, 101, 103, 107, 109, 111, 113, 117, 123, 127, 129, 131, 137, 139, 141, 143, 149, 151, 153, 157, 159, 163, 167, 171, 173, 177, 179, 181, 183, 187, 191, 193, 197, 199, 201, 207, 209, 211, 213, 219, 221, 223, 227, 229, 233, 237, 239, 241, 243, 247, 251, 253, 257, 261, 263, 267, 269, 271, 277, 279 }

312

2, 3, 13, 312k + { 5, 7, 11, 17, 19, 23, 29, 31, 35, 37, 41, 43, 47, 53, 55, 59, 61, 67, 71, 73, 77, 79, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 119, 125, 127, 131, 133, 137, 139, 145, 149, 151, 155, 157, 161, 163, 167, 173, 175, 179, 181, 185, 187, 191, 193, 197, 199, 203, 205, 209, 211, 215, 223, 227, 229, 233, 235, 239, 241, 245, 251, 253, 257, 259, 263, 265, 269, 271, 275, 277, 281, 283, 287, 293, 295, 301, 305, 307, 311 }

330

2, 3, 5, 11, 1320k + { 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 119, 127, 131, 133, 137, 139, 149, 151, 157, 161, 163, 167, 173, 179, 181, 191, 193, 197, 199, 203, 211, 217, 221, 223, 227, 229, 233, 239, 241, 247, 251, 257, 259, 263, 269, 271, 277, 281, 283, 287, 293, 299, 301, 307, 311, 313, 317, 323, 329, 337, 343, 347, 349, 353, 359, 367, 371, 373, 377, 383, 389, 391, 397, 401, 403, 409, 413, 419, 421, 427, 431, 433, 437, 439, 443, 449, 457, 461, 463, 467, 469, 479, 481, 487, 491, 493, 497, 503, 509, 511, 521, 523, 527, 533, 541, 547, 551, 553, 557, 559, 563, 569, 571, 577, 581, 587, 589, 593, 599, 601, 607, 611, 613, 617, 623, 629, 631, 637, 641, 643, 647, 653, 659, 661, 667, 673, 677, 679, 683, 689, 697, 701, 703, 707, 709, 713, 719, 721, 727, 731, 733, 739, 743, 749, 751, 757, 761, 763, 767, 769, 773, 779, 787, 791, 793, 797, 799, 809, 811, 817, 821, 823, 827, 829, 833, 839, 851, 853, 857, 863, 871, 877, 881, 883, 887, 893, 899, 901, 907, 911, 917, 919, 923, 929, 931, 937, 941, 943, 947, 949, 953, 959, 967, 971, 973, 977, 983, 989, 991, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1027, 1031, 1033, 1037, 1039, 1043, 1049, 1051, 1057, 1061, 1063, 1069, 1073, 1079, 1087, 1091, 1093, 1097, 1099, 1103, 1109, 1117, 1121, 1123, 1127, 1129, 1139, 1141, 1147, 1151, 1153, 1157, 1159, 1163, 1169, 1181, 1183, 1187, 1189, 1193, 1201, 1207, 1211, 1213, 1217, 1223, 1229, 1231, 1237, 1241, 1247, 1249, 1253, 1259, 1261, 1267, 1271, 1273, 1277, 1279, 1283, 1289, 1297, 1301, 1303, 1307, 1313, 1319 }

345

2, 3, 5, 23, 1380k + { 7, 11, 13, 17, 19, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 77, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119, 127, 131, 133, 137, 139, 143, 149, 151, 157, 163, 167, 173, 179, 181, 187, 191, 193, 197, 199, 203, 209, 211, 217, 221, 223, 227, 229, 233, 239, 241, 247, 251, 257, 259, 263, 269, 271, 277, 281, 283, 287, 293, 307, 311, 313, 317, 319, 323, 329, 331, 337, 341, 343, 347, 353, 359, 367, 371, 373, 377, 379, 383, 389, 397, 401, 403, 407, 413, 419, 421, 427, 431, 433, 439, 443, 449, 451, 457, 461, 463, 467, 473, 479, 481, 487, 491, 493, 497, 499, 503, 509, 511, 517, 521, 523, 527, 533, 539, 547, 551, 553, 557, 559, 563, 569, 571, 577, 581, 583, 587, 589, 593, 599, 607, 611, 613, 617, 619, 623, 629, 631, 637, 641, 643, 647, 649, 653, 659, 661, 671, 673, 677, 679, 683, 689, 691, 697, 701, 703, 707, 709, 719, 727, 731, 733, 737, 739, 743, 749, 751, 757, 761, 763, 767, 769, 773, 779, 781, 787, 791, 793, 797, 799, 803, 809, 811, 817, 821, 823, 827, 833, 839, 847, 853, 857, 859, 863, 869, 871, 877, 881, 883, 887, 889, 893, 899, 907, 911, 913, 917, 919, 923, 929, 931, 937, 941, 947, 953, 959, 967, 971, 973, 977, 979, 983, 991, 997, 1001, 1003, 1007, 1009, 1013, 1019, 1027, 1031, 1033, 1037, 1039, 1043, 1049, 1051, 1057, 1061, 1063, 1067, 1069, 1073, 1079, 1087, 1091, 1093, 1097, 1099, 1103, 1109, 1111, 1117, 1121, 1123, 1133, 1139, 1141, 1147, 1151, 1153, 1157, 1159, 1163, 1169, 1171, 1177, 1181, 1183, 1187, 1193, 1199, 1201, 1207, 1211, 1213, 1217, 1223, 1229, 1231, 1237, 1241, 1243, 1247, 1249, 1253, 1259, 1261, 1267, 1271, 1273, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1309, 1313, 1319, 1321, 1327, 1331, 1333, 1337, 1339, 1343, 1349, 1351, 1361, 1363, 1367, 1373, 1379 }

357

2, 3, 7, 17, 1428k + { 5, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 55, 59, 61, 65, 67, 71, 73, 79, 83, 89, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 137, 139, 143, 145, 149, 151, 155, 157, 163, 167, 173, 179, 181, 185, 191, 193, 197, 199, 209, 211, 215, 223, 227, 229, 233, 235, 239, 241, 247, 251, 257, 263, 265, 269, 271, 275, 277, 281, 283, 293, 295, 299, 305, 307, 311, 313, 317, 319, 325, 331, 335, 337, 341, 347, 349, 353, 355, 359, 365, 367, 377, 379, 383, 389, 395, 397, 401, 403, 407, 409, 415, 419, 431, 433, 437, 439, 443, 445, 449, 451, 461, 463, 467, 473, 475, 479, 481, 485, 487, 491, 499, 503, 505, 509, 515, 517, 521, 523, 533, 535, 541, 545, 547, 551, 557, 559, 563, 565, 569, 571, 575, 577, 583, 587, 589, 593, 599, 601, 605, 607, 611, 617, 619, 631, 635, 641, 643, 647, 649, 653, 655, 659, 661, 667, 671, 673, 677, 683, 685, 689, 691, 695, 701, 703, 709, 713, 715, 719, 725, 727, 733, 737, 739, 743, 745, 751, 755, 761, 767, 769, 773, 775, 779, 785, 787, 793, 797, 803, 809, 811, 815, 817, 821, 823, 827, 829, 835, 839, 845, 851, 853, 857, 859, 863, 869, 871, 877, 881, 883, 887, 893, 895, 899, 905, 907, 911, 913, 919, 923, 925, 929, 937, 941, 943, 947, 949, 953, 955, 965, 967, 971, 977, 979, 983, 985, 989, 991, 995, 997, 1007, 1009, 1013, 1019, 1021, 1025, 1027, 1031, 1039, 1049, 1051, 1055, 1061, 1063, 1067, 1069, 1073, 1075, 1079, 1081, 1087, 1091, 1093, 1097, 1103, 1109, 1111, 1115, 1117, 1121, 1123, 1129, 1133, 1135, 1145, 1147, 1151, 1153, 1157, 1159, 1163, 1165, 1171, 1175, 1181, 1187, 1189, 1193, 1195, 1199, 1201, 1205, 1213, 1217, 1219, 1223, 1229, 1231, 1235, 1237, 1243, 1247, 1249, 1255, 1259, 1261, 1265, 1271, 1273, 1277, 1279, 1283, 1285, 1289, 1291, 1297, 1301, 1303, 1307, 1313, 1315, 1319, 1321, 1325, 1327, 1331, 1333, 1339, 1349, 1355, 1357, 1361, 1363, 1367, 1373, 1375, 1385, 1387, 1391, 1397, 1399, 1403, 1405, 1409, 1415, 1417, 1423, 1427 }

385

2, 5, 7, 11, 1540k + { 3, 13, 17, 19, 23, 27, 29, 31, 37, 39, 41, 43, 47, 51, 53, 57, 59, 61, 67, 69, 71, 73, 79, 83, 87, 89, 93, 97, 101, 103, 107, 109, 111, 113, 117, 123, 127, 129, 131, 137, 139, 149, 151, 153, 157, 159, 163, 167, 171, 173, 177, 179, 181, 183, 191, 193, 197, 199, 201, 207, 211, 213, 219, 223, 227, 229, 233, 237, 239, 241, 243, 247, 249, 251, 257, 261, 263, 267, 269, 271, 277, 279, 281, 283, 291, 293, 299, 303, 307, 311, 313, 317, 321, 323, 327, 331, 333, 337, 339, 347, 349, 351, 353, 359, 367, 369, 373, 377, 379, 381, 383, 387, 391, 393, 397, 403, 409, 411, 417, 419, 423, 431, 433, 437, 439, 443, 447, 453, 457, 459, 461, 463, 467, 471, 477, 479, 481, 487, 489, 491, 493, 499, 501, 503, 507, 509, 513, 519, 521, 523, 527, 531, 533, 537, 541, 543, 547, 549, 551, 557, 559, 563, 569, 571, 573, 577, 579, 587, 589, 591, 593, 597, 599, 601, 603, 607, 611, 613, 617, 619, 621, 629, 631, 633, 639, 643, 647, 653, 657, 659, 661, 663, 667, 673, 677, 681, 683, 687, 689, 691, 697, 699, 701, 703, 711, 713, 717, 719, 723, 727, 731, 733, 739, 741, 743, 747, 751, 753, 757, 761, 767, 769, 771, 773, 779, 783, 787, 789, 793, 797, 799, 801, 807, 809, 811, 813, 817, 821, 823, 827, 829, 831, 837, 839, 843, 849, 851, 853, 857, 859, 863, 867, 871, 873, 877, 879, 881, 883, 887, 893, 897, 899, 901, 907, 909, 911, 919, 921, 923, 927, 929, 933, 937, 939, 941, 943, 947, 951, 953, 963, 967, 969, 971, 977, 981, 983, 989, 991, 993, 997, 999, 1003, 1007, 1009, 1011, 1013, 1017, 1019, 1021, 1027, 1031, 1033, 1037, 1039, 1041, 1047, 1049, 1051, 1053, 1059, 1063, 1069, 1073, 1077, 1079, 1081, 1083, 1087, 1091, 1093, 1097, 1103, 1107, 1109, 1117, 1119, 1121, 1123, 1129, 1131, 1137, 1139, 1143, 1147, 1151, 1153, 1157, 1159, 1161, 1163, 1167, 1171, 1173, 1179, 1181, 1187, 1189, 1191, 1193, 1201, 1203, 1207, 1209, 1213, 1217, 1219, 1223, 1227, 1229, 1231, 1233, 1237, 1247, 1249, 1251, 1257, 1259, 1261, 1263, 1271, 1273, 1277, 1279, 1283, 1289, 1291, 1293, 1297, 1299, 1301, 1303, 1307, 1311, 1313, 1317, 1319, 1321, 1327, 1329, 1333, 1339, 1341, 1343, 1347, 1349, 1357, 1359, 1361, 1363, 1367, 1371, 1373, 1377, 1381, 1383, 1387, 1389, 1391, 1399, 1403, 1411, 1413, 1417, 1423, 1427, 1429, 1431, 1433, 1437, 1439, 1443, 1447, 1451, 1453, 1457, 1459, 1461, 1467, 1469, 1471, 1473, 1479, 1481, 1483, 1487, 1489, 1493, 1497, 1499, 1501, 1503, 1509, 1511, 1513, 1517, 1523, 1527, 1531, 1537, 1539 }

408

2, 3, 17, 1540k + { 5, 7, 11, 13, 19, 23, 29, 31, 35, 37, 41, 43, 47, 53, 55, 59, 61, 65, 67, 71, 73, 77, 79, 83, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 133, 137, 139, 143, 149, 151, 155, 157, 161, 163, 167, 173, 175, 179, 181, 185, 191, 193, 197, 199, 203, 205, 209, 211, 215, 223, 227, 229, 233, 235, 239, 241, 245, 247, 251, 253, 257, 259, 263, 265, 269, 271, 275, 277, 281, 283, 287, 293, 295, 299, 301, 305, 307, 311, 313, 317, 319, 325, 329, 331, 335, 337, 341, 343, 347, 349, 353, 355, 359, 365, 367, 371, 373, 377, 379, 383, 385, 389, 395, 397, 401, 403, 407 }

462

2, 3, 7, 11, 1848k + { 5, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 65, 67, 71, 73, 79, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 137, 139, 145, 149, 151, 155, 157, 163, 167, 173, 179, 181, 185, 191, 193, 197, 199, 205, 211, 215, 221, 223, 227, 229, 233, 235, 239, 241, 251, 257, 263, 265, 269, 271, 277, 281, 283, 293, 299, 305, 307, 311, 313, 317, 323, 325, 331, 335, 337, 347, 349, 353, 355, 359, 365, 367, 373, 377, 379, 383, 389, 391, 395, 397, 401, 403, 409, 415, 419, 421, 425, 431, 433, 437, 439, 443, 445, 449, 457, 461, 467, 475, 479, 481, 485, 491, 493, 499, 503, 505, 509, 515, 521, 523, 527, 533, 535, 541, 545, 547, 551, 557, 559, 563, 565, 569, 571, 575, 577, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 629, 635, 641, 643, 647, 653, 655, 659, 661, 667, 673, 677, 683, 685, 689, 691, 695, 701, 703, 709, 713, 719, 725, 727, 731, 733, 739, 743, 745, 755, 757, 761, 767, 769, 773, 775, 779, 785, 787, 797, 799, 809, 811, 815, 817, 821, 827, 829, 835, 839, 845, 851, 853, 857, 859, 863, 865, 871, 877, 881, 883, 887, 893, 895, 899, 901, 905, 907, 911, 919, 923, 925, 929, 937, 941, 943, 947, 949, 953, 955, 965, 967, 971, 977, 983, 985, 989, 995, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1025, 1027, 1031, 1033, 1037, 1039, 1049, 1051, 1055, 1061, 1063, 1069, 1073, 1075, 1079, 1081, 1091, 1093, 1097, 1103, 1105, 1109, 1115, 1117, 1121, 1123, 1129, 1135, 1139, 1145, 1147, 1151, 1153, 1157, 1163, 1165, 1171, 1175, 1181, 1187, 1189, 1193, 1195, 1201, 1205, 1207, 1213, 1217, 1219, 1223, 1229, 1231, 1235, 1237, 1241, 1247, 1249, 1259, 1261, 1271, 1273, 1277, 1279, 1283, 1285, 1289, 1291, 1297, 1301, 1307, 1313, 1315, 1319, 1321, 1325, 1327, 1333, 1339, 1343, 1349, 1355, 1357, 1361, 1363, 1367, 1373, 1381, 1385, 1387, 1391, 1399, 1403, 1405, 1409, 1411, 1415, 1417, 1427, 1429, 1433, 1439, 1445, 1447, 1451, 1453, 1457, 1459, 1465, 1469, 1471, 1475, 1481, 1483, 1487, 1489, 1493, 1495, 1499, 1501, 1511, 1513, 1517, 1523, 1525, 1531, 1535, 1537, 1541, 1543, 1549, 1553, 1555, 1559, 1565, 1567, 1571, 1577, 1579, 1583, 1585, 1591, 1597, 1601, 1607, 1609, 1613, 1615, 1619, 1621, 1625, 1627, 1637, 1643, 1649, 1651, 1655, 1657, 1663, 1667, 1669, 1675, 1679, 1685, 1691, 1693, 1697, 1699, 1703, 1709, 1711, 1717, 1721, 1723, 1733, 1735, 1739, 1741, 1745, 1747, 1751, 1753, 1759, 1763, 1765, 1769, 1775, 1777, 1781, 1783, 1787, 1789, 1795, 1801, 1805, 1811, 1817, 1819, 1823, 1825, 1829, 1835, 1843, 1847 }

520

2, 5, 13, 520k + { 3, 7, 11, 17, 19, 21, 23, 27, 29, 31, 33, 37, 41, 43, 47, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 83, 87, 89, 93, 97, 99, 101, 103, 107, 109, 111, 113, 119, 123, 127, 131, 133, 137, 139, 141, 147, 149, 151, 153, 157, 159, 161, 163, 167, 171, 173, 177, 179, 181, 183, 187, 189, 191, 193, 197, 199, 201, 203, 207, 211, 213, 217, 219, 223, 227, 229, 231, 233, 237, 239, 241, 243, 249, 251, 253, 257, 259, 261, 263, 267, 269, 271, 277, 279, 281, 283, 287, 291, 293, 297, 301, 303, 307, 309, 311, 313, 317, 319, 323, 327, 331, 333, 337, 339, 341, 343, 347, 349, 353, 357, 359, 363, 367, 369, 371, 373, 379, 381, 383, 387, 389, 391, 393, 397, 399, 401, 407, 409, 411, 413, 417, 419, 421, 423, 427, 431, 433, 437, 439, 443, 447, 449, 451, 453, 457, 459, 461, 463, 467, 469, 471, 473, 477, 479, 483, 487, 489, 491, 493, 497, 499, 501, 503, 509, 511, 513, 517, 519 }

760

2, 5, 19, 760k + { 3, 7, 11, 13, 17, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 51, 53, 59, 61, 63, 67, 69, 71, 73, 77, 79, 83, 87, 89, 91, 93, 97, 99, 101, 103, 107, 109, 111, 113, 117, 119, 123, 127, 129, 131, 137, 139, 141, 143, 147, 149, 151, 153, 157, 159, 163, 167, 173, 177, 179, 181, 183, 187, 189, 191, 193, 197, 199, 203, 207, 211, 213, 217, 219, 221, 223, 227, 229, 231, 233, 237, 239, 241, 243, 249, 251, 253, 257, 259, 261, 263, 267, 269, 271, 273, 277, 279, 281, 283, 287, 291, 293, 297, 299, 301, 303, 307, 309, 311, 313, 317, 319, 327, 331, 333, 337, 339, 341, 343, 347, 349, 351, 353, 357, 359, 363, 367, 369, 371, 373, 377, 379, 381, 383, 387, 389, 391, 393, 397, 401, 403, 407, 409, 411, 413, 417, 419, 421, 423, 427, 429, 431, 433, 439, 443, 447, 449, 451, 453, 457, 459, 461, 463, 467, 469, 471, 473, 477, 479, 483, 487, 489, 491, 493, 497, 499, 501, 503, 507, 509, 511, 517, 519, 521, 523, 527, 531, 533, 537, 539, 541, 543, 547, 549, 553, 557, 559, 561, 563, 567, 569, 571, 573, 577, 579, 581, 583, 587, 591, 593, 597, 599, 601, 603, 607, 611, 613, 617, 619, 621, 623, 629, 631, 633, 637, 639, 641, 643, 647, 649, 651, 653, 657, 659, 661, 663, 667, 669, 671, 673, 677, 679, 683, 687, 691, 693, 697, 699, 701, 707, 709, 711, 713, 717, 719, 721, 723, 727, 731, 733, 737, 739, 743, 747, 749, 751, 753, 757, 759 }

840

2, 3, 5, 7, 840k + { 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 173, 179, 181, 187, 191, 193, 197, 199, 209, 211, 221, 223, 227, 229, 233, 239, 241, 247, 251, 253, 257, 263, 269, 271, 277, 281, 283, 293, 299, 307, 311, 313, 317, 319, 323, 331, 337, 341, 347, 349, 353, 359, 367, 373, 377, 379, 383, 389, 391, 397, 401, 403, 407, 409, 419, 421, 431, 433, 437, 439, 443, 449, 451, 457, 461, 463, 467, 473, 479, 481, 487, 491, 493, 499, 503, 509, 517, 521, 523, 527, 533, 541, 547, 551, 557, 559, 563, 569, 571, 577, 583, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 629, 631, 641, 643, 647, 649, 653, 659, 661, 667, 671, 673, 677, 683, 689, 691, 697, 701, 703, 709, 713, 719, 727, 731, 733, 737, 739, 743, 751, 757, 761, 767, 769, 773, 779, 781, 787, 793, 797, 799, 803, 809, 811, 817, 821, 823, 827, 829, 839 }

1320

2, 3, 5, 11, 1320k + { 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 91, 97, 101, 103, 107, 109, 113, 119, 127, 131, 133, 137, 139, 149, 151, 157, 161, 163, 167, 173, 179, 181, 191, 193, 197, 199, 203, 211, 217, 221, 223, 227, 229, 233, 239, 241, 247, 251, 257, 259, 263, 269, 271, 277, 281, 283, 287, 293, 299, 301, 307, 311, 313, 317, 323, 329, 331, 337, 343, 347, 349, 353, 359, 367, 371, 373, 377, 379, 383, 389, 391, 397, 401, 403, 409, 413, 419, 421, 427, 431, 433, 437, 439, 443, 449, 457, 461, 463, 467, 469, 479, 481, 487, 491, 493, 497, 499, 503, 509, 511, 521, 523, 527, 533, 541, 547, 551, 553, 557, 559, 563, 569, 571, 577, 581, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 623, 629, 631, 637, 641, 643, 647, 653, 659, 661, 667, 673, 677, 679, 683, 689, 691, 697, 701, 703, 707, 709, 713, 719, 721, 727, 731, 733, 739, 743, 749, 751, 757, 761, 763, 767, 769, 773, 779, 787, 791, 793, 797, 799, 809, 811, 817, 821, 823, 827, 829, 833, 839, 851, 853, 857, 859, 863, 871, 877, 881, 883, 887, 893, 899, 901, 907, 911, 917, 919, 923, 929, 931, 937, 941, 943, 947, 949, 953, 959, 967, 971, 973, 977, 983, 989, 991, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1027, 1031, 1033, 1037, 1039, 1043, 1049, 1051, 1057, 1061, 1063, 1069, 1073, 1079, 1087, 1091, 1093, 1097, 1099, 1103, 1109, 1117, 1121, 1123, 1127, 1129, 1139, 1141, 1147, 1151, 1153, 1157, 1159, 1163, 1169, 1171, 1181, 1183, 1187, 1189, 1193, 1201, 1207, 1211, 1213, 1217, 1219, 1223, 1229, 1231, 1237, 1241, 1247, 1249, 1253, 1259, 1261, 1267, 1271, 1273, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1313, 1319 }

1365

2, 3, 5, 7, 13, 5460k + { 11, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 187, 191, 193, 197, 199, 209, 211, 223, 227, 229, 233, 239, 241, 251, 253, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 319, 323, 331, 337, 341, 347, 349, 353, 359, 367, 373, 379, 383, 389, 391, 397, 401, 407, 409, 419, 421, 431, 433, 437, 439, 443, 449, 451, 457, 461, 463, 467, 473, 479, 487, 491, 493, 499, 503, 509, 517, 521, 523, 527, 541, 547, 551, 557, 563, 569, 571, 577, 583, 587, 593, 599, 601, 607, 613, 617, 619, 629, 631, 641, 643, 647, 649, 653, 659, 661, 667, 671, 673, 677, 683, 691, 697, 701, 703, 709, 713, 719, 727, 731, 733, 737, 739, 743, 751, 757, 761, 769, 773, 779, 787, 797, 799, 803, 809, 811, 817, 821, 823, 827, 829, 839, 851, 853, 857, 859, 863, 869, 877, 881, 883, 887, 893, 899, 901, 907, 911, 913, 919, 929, 937, 941, 943, 947, 953, 967, 971, 977, 979, 983, 989, 991, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1031, 1033, 1037, 1039, 1049, 1051, 1061, 1063, 1067, 1069, 1073, 1081, 1087, 1091, 1093, 1097, 1103, 1109, 1111, 1117, 1121, 1123, 1129, 1133, 1139, 1147, 1151, 1153, 1159, 1163, 1171, 1177, 1181, 1187, 1189, 1193, 1199, 1201, 1207, 1213, 1217, 1219, 1223, 1229, 1231, 1237, 1241, 1243, 1247, 1249, 1259, 1271, 1273, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1331, 1333, 1343, 1349, 1357, 1361, 1363, 1367, 1373, 1387, 1397, 1399, 1403, 1409, 1411, 1423, 1427, 1433, 1439, 1441, 1447, 1451, 1453, 1457, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1501, 1507, 1511, 1513, 1517, 1523, 1529, 1531, 1537, 1541, 1543, 1549, 1553, 1559, 1567, 1571, 1577, 1579, 1583, 1591, 1597, 1601, 1607, 1609, 1613, 1619, 1627, 1633, 1637, 1639, 1643, 1649, 1657, 1661, 1663, 1667, 1669, 1679, 1691, 1693, 1697, 1699, 1709, 1711, 1717, 1721, 1723, 1727, 1733, 1739, 1741, 1747, 1751, 1753, 1759, 1763, 1769, 1777, 1783, 1787, 1789, 1793, 1801, 1811, 1817, 1819, 1823, 1829, 1831, 1837, 1843, 1847, 1853, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1891, 1901, 1903, 1907, 1909, 1913, 1919, 1921, 1927, 1931, 1933, 1943, 1949, 1951, 1957, 1961, 1969, 1973, 1979, 1987, 1991, 1993, 1997, 1999, 2003, 2011, 2017, 2021, 2027, 2029, 2033, 2039, 2047, 2053, 2057, 2059, 2063, 2069, 2071, 2077, 2081, 2083, 2087, 2089, 2099, 2101, 2111, 2113, 2117, 2123, 2129, 2131, 2137, 2141, 2143, 2147, 2153, 2159, 2161, 2167, 2173, 2179, 2183, 2189, 2201, 2203, 2207, 2213, 2221, 2227, 2231, 2237, 2239, 2243, 2251, 2257, 2263, 2267, 2269, 2273, 2279, 2281, 2287, 2291, 2293, 2297, 2299, 2309, 2311, 2321, 2323, 2329, 2333, 2339, 2341, 2347, 2351, 2357, 2363, 2369, 2371, 2377, 2381, 2383, 2393, 2399, 2407, 2411, 2413, 2417, 2419, 2423, 2437, 2441, 2447, 2449, 2453, 2459, 2467, 2473, 2477, 2479, 2489, 2491, 2497, 2501, 2503, 2507, 2519, 2531, 2533, 2537, 2539, 2543, 2549, 2551, 2557, 2563, 2567, 2573, 2579, 2581, 2591, 2593, 2599, 2603, 2609, 2617, 2621, 2623, 2627, 2633, 2641, 2647, 2651, 2657, 2659, 2663, 2669, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2701, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2747, 2749, 2753, 2759, 2761, 2767, 2771, 2773, 2777, 2783, 2789, 2791, 2797, 2801, 2803, 2813, 2819, 2827, 2831, 2833, 2837, 2839, 2843, 2851, 2857, 2861, 2867, 2869, 2879, 2881, 2887, 2893, 2897, 2903, 2909, 2911, 2917, 2921, 2923, 2927, 2929, 2939, 2953, 2957, 2959, 2963, 2969, 2971, 2981, 2983, 2987, 2993, 2999, 3001, 3007, 3011, 3013, 3019, 3023, 3037, 3041, 3043, 3047, 3049, 3053, 3061, 3067, 3071, 3077, 3079, 3083, 3089, 3091, 3097, 3103, 3109, 3113, 3119, 3121, 3127, 3131, 3137, 3139, 3149, 3151, 3161, 3163, 3167, 3169, 3173, 3179, 3181, 3187, 3191, 3193, 3197, 3203, 3209, 3217, 3221, 3223, 3229, 3233, 3239, 3247, 3251, 3253, 3257, 3259, 3271, 3277, 3281, 3287, 3293, 3299, 3307, 3313, 3317, 3319, 3323, 3329, 3331, 3337, 3343, 3347, 3349, 3359, 3361, 3371, 3373, 3377, 3379, 3383, 3389, 3391, 3397, 3401, 3403, 3407, 3413, 3421, 3427, 3431, 3433, 3439, 3443, 3449, 3457, 3461, 3463, 3467, 3469, 3473, 3487, 3491, 3499, 3503, 3509, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3551, 3553, 3557, 3559, 3569, 3571, 3581, 3583, 3587, 3589, 3593, 3599, 3607, 3611, 3613, 3617, 3623, 3629, 3631, 3637, 3641, 3643, 3659, 3667, 3671, 3673, 3677, 3683, 3691, 3697, 3701, 3707, 3709, 3713, 3719, 3727, 3733, 3737, 3739, 3743, 3749, 3751, 3761, 3763, 3767, 3769, 3779, 3781, 3791, 3793, 3797, 3799, 3803, 3811, 3817, 3821, 3823, 3827, 3833, 3839, 3841, 3847, 3851, 3853, 3859, 3863, 3869, 3877, 3881, 3883, 3889, 3893, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3937, 3943, 3947, 3953, 3959, 3961, 3967, 3971, 3973, 3977, 3979, 3989, 4001, 4003, 4007, 4009, 4013, 4019, 4021, 4027, 4031, 4033, 4037, 4049, 4051, 4057, 4061, 4063, 4073, 4079, 4087, 4091, 4093, 4097, 4099, 4103, 4111, 4117, 4127, 4129, 4133, 4139, 4141, 4153, 4157, 4159, 4163, 4169, 4171, 4177, 4181, 4183, 4187, 4189, 4201, 4211, 4213, 4217, 4219, 4223, 4229, 4231, 4237, 4241, 4243, 4247, 4253, 4259, 4261, 4267, 4271, 4273, 4279, 4283, 4289, 4297, 4301, 4307, 4309, 4313, 4321, 4327, 4331, 4337, 4339, 4343, 4349, 4351, 4357, 4363, 4367, 4373, 4379, 4387, 4391, 4393, 4397, 4399, 4409, 4411, 4421, 4423, 4427, 4429, 4439, 4441, 4447, 4451, 4453, 4457, 4463, 4469, 4471, 4477, 4481, 4483, 4493, 4499, 4507, 4513, 4517, 4519, 4523, 4531, 4541, 4547, 4549, 4553, 4559, 4561, 4567, 4573, 4577, 4579, 4583, 4591, 4597, 4601, 4603, 4607, 4609, 4619, 4621, 4631, 4633, 4637, 4639, 4643, 4649, 4651, 4657, 4661, 4663, 4673, 4679, 4681, 4687, 4691, 4699, 4703, 4709, 4717, 4721, 4723, 4727, 4733, 4747, 4751, 4757, 4759, 4763, 4769, 4777, 4783, 4787, 4789, 4793, 4799, 4801, 4807, 4811, 4813, 4817, 4819, 4829, 4831, 4841, 4843, 4847, 4853, 4859, 4861, 4867, 4871, 4873, 4877, 4883, 4889, 4891, 4897, 4903, 4909, 4913, 4919, 4931, 4933, 4937, 4939, 4943, 4951, 4957, 4961, 4967, 4969, 4973, 4981, 4987, 4993, 4997, 4999, 5003, 5009, 5011, 5017, 5021, 5023, 5027, 5029, 5039, 5051, 5053, 5059, 5063, 5069, 5071, 5077, 5081, 5087, 5093, 5099, 5101, 5107, 5111, 5113, 5119, 5123, 5129, 5137, 5141, 5143, 5147, 5153, 5167, 5171, 5177, 5179, 5183, 5189, 5191, 5197, 5203, 5207, 5219, 5221, 5227, 5231, 5233, 5237, 5249, 5251, 5261, 5263, 5267, 5269, 5273, 5279, 5281, 5287, 5293, 5297, 5303, 5309, 5311, 5321, 5323, 5333, 5339, 5347, 5351, 5353, 5357, 5359, 5363, 5371, 5377, 5381, 5387, 5389, 5393, 5399, 5401, 5407, 5413, 5417, 5419, 5423, 5429, 5431, 5437, 5441, 5443, 5449, 5459 }

1848

2, 3, 7, 11, 1848k + { 5, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 65, 67, 71, 73, 79, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 125, 127, 131, 137, 139, 145, 149, 151, 155, 157, 163, 167, 173, 179, 181, 185, 191, 193, 197, 199, 205, 211, 215, 221, 223, 227, 229, 233, 235, 239, 241, 247, 251, 257, 263, 265, 269, 271, 277, 281, 283, 293, 295, 299, 305, 307, 311, 313, 317, 323, 325, 331, 335, 337, 347, 349, 353, 355, 359, 365, 367, 373, 377, 379, 383, 389, 391, 395, 397, 401, 403, 409, 415, 419, 421, 425, 431, 433, 437, 439, 443, 445, 449, 457, 461, 463, 467, 475, 479, 481, 485, 487, 491, 493, 499, 503, 505, 509, 515, 521, 523, 527, 533, 535, 541, 545, 547, 551, 557, 559, 563, 565, 569, 571, 575, 577, 587, 589, 593, 599, 601, 607, 611, 613, 617, 619, 629, 631, 635, 641, 643, 647, 653, 655, 659, 661, 667, 673, 677, 683, 685, 689, 691, 695, 701, 703, 709, 713, 719, 725, 727, 731, 733, 739, 743, 745, 751, 755, 757, 761, 767, 769, 773, 775, 779, 785, 787, 797, 799, 809, 811, 815, 817, 821, 823, 827, 829, 835, 839, 845, 851, 853, 857, 859, 863, 865, 871, 877, 881, 883, 887, 893, 895, 899, 901, 905, 907, 911, 919, 923, 925, 929, 937, 941, 943, 947, 949, 953, 955, 965, 967, 971, 977, 983, 985, 989, 991, 995, 997, 1003, 1007, 1009, 1013, 1019, 1021, 1025, 1027, 1031, 1033, 1037, 1039, 1049, 1051, 1055, 1061, 1063, 1069, 1073, 1075, 1079, 1081, 1087, 1091, 1093, 1097, 1103, 1105, 1109, 1115, 1117, 1121, 1123, 1129, 1135, 1139, 1145, 1147, 1151, 1153, 1157, 1159, 1163, 1165, 1171, 1175, 1181, 1187, 1189, 1193, 1195, 1201, 1205, 1207, 1213, 1217, 1219, 1223, 1229, 1231, 1235, 1237, 1241, 1247, 1249, 1255, 1259, 1261, 1271, 1273, 1277, 1279, 1283, 1285, 1289, 1291, 1297, 1301, 1303, 1307, 1313, 1315, 1319, 1321, 1325, 1327, 1333, 1339, 1343, 1349, 1355, 1357, 1361, 1363, 1367, 1373, 1381, 1385, 1387, 1391, 1399, 1403, 1405, 1409, 1411, 1415, 1417, 1423, 1427, 1429, 1433, 1439, 1445, 1447, 1451, 1453, 1457, 1459, 1465, 1469, 1471, 1475, 1481, 1483, 1487, 1489, 1493, 1495, 1499, 1501, 1511, 1513, 1517, 1523, 1525, 1531, 1535, 1537, 1541, 1543, 1549, 1553, 1555, 1559, 1565, 1567, 1571, 1577, 1579, 1583, 1585, 1591, 1597, 1601, 1607, 1609, 1613, 1615, 1619, 1621, 1625, 1627, 1637, 1643, 1649, 1651, 1655, 1657, 1663, 1667, 1669, 1675, 1679, 1685, 1691, 1693, 1697, 1699, 1703, 1709, 1711, 1717, 1721, 1723, 1733, 1735, 1739, 1741, 1745, 1747, 1751, 1753, 1759, 1763, 1765, 1769, 1775, 1777, 1781, 1783, 1787, 1789, 1795, 1801, 1805, 1807, 1811, 1817, 1819, 1823, 1825, 1829, 1831, 1835, 1843, 1847 }