I valori di n per i quali n^m + k è primo, per n fino a 1000, m da 3 a 10 e k da –10 a 10

Le tabelle seguenti riportano i valori di n per i quali n^m + k è primo, per n fino a 1000, m da 3 a 10 e k da –10 a 10.

La tabella seguente riporta i valori di n fino a 1000 per i quali n³ + k è primo, per k da –10 a 10.

k	n
–10	3, 9, 11, 17, 23, 29, 47, 53, 57, 63, 77, 83, 101, 113, 123, 147, 149, 167, 171, 177, 183, 191, 201, 203, 213, 221, 227, 237, 239, 251, 261, 267, 273, 279, 291, 297, 299, 321, 323, 347, 381, 393, 401, 423, 429, 431, 437, 473, 491, 497, 503, 507, 519, 531, 539, 561, 573, 597, 609, 621, 641, 671, 677, 689, 701, 707, 713, 723, 729, 731, 749, 759, 777, 827, 839, 843, 869, 873, 881, 893, 917, 939, 953, 957, 963, 981
–9	8, 10, 22, 28, 46, 50, 58, 68, 76, 80, 112, 122, 128, 140, 146, 148, 152, 160, 166, 170, 172, 212, 226, 230, 242, 262, 280, 286, 302, 308, 332, 340, 346, 350, 352, 358, 362, 368, 376, 388, 398, 428, 436, 446, 448, 470, 500, 530, 578, 602, 616, 622, 628, 632, 646, 652, 656, 670, 680, 706, 710, 736, 778, 802, 826, 830, 832, 856, 892, 896, 898, 910, 920, 968, 970, 986, 998
–8	3 e nessun altro
–7	12, 20, 26, 30, 36, 54, 62, 90, 92, 114, 122, 134, 146, 164, 174, 176, 186, 200, 216, 236, 264, 276, 282, 302, 324, 326, 344, 356, 362, 374, 390, 416, 426, 432, 444, 452, 464, 482, 552, 570, 572, 582, 584, 594, 624, 696, 716, 740, 744, 774, 782, 794, 810, 822, 824, 836, 852, 860, 884, 894, 900, 912, 914, 942, 960
–6	2, 7, 23, 25, 37, 49, 67, 95, 119, 133, 155, 203, 235, 245, 263, 275, 287, 289, 317, 343, 359, 385, 389, 403, 407, 427, 443, 455, 457, 499, 527, 533, 589, 595, 599, 637, 707, 715, 725, 737, 743, 749, 785, 805, 875, 947, 959, 967
–5	2, 4, 6, 12, 16, 18, 48, 52, 64, 66, 78, 82, 94, 106, 114, 118, 126, 132, 136, 142, 144, 162, 172, 192, 204, 222, 244, 262, 282, 286, 292, 298, 304, 324, 328, 378, 406, 412, 444, 468, 472, 478, 484, 516, 534, 558, 576, 598, 616, 624, 628, 636, 642, 666, 672, 688, 738, 768, 786, 796, 816, 832, 858, 876, 886, 906, 942, 958, 966, 976, 984, 988
–4	3, 11, 15, 17, 21, 23, 33, 41, 45, 51, 53, 57, 63, 77, 83, 101, 105, 117, 131, 147, 155, 161, 177, 201, 227, 255, 257, 261, 263, 275, 305, 311, 327, 341, 383, 405, 407, 411, 437, 453, 477, 485, 491, 497, 503, 507, 515, 521, 527, 537, 561, 585, 587, 593, 603, 611, 627, 675, 707, 711, 717, 725, 735, 737, 773, 783, 807, 815, 825, 827, 837, 867, 875, 881, 887, 891, 903, 945, 953, 963, 971, 975, 993
–3	2, 4, 8, 10, 14, 16, 26, 34, 38, 40, 74, 80, 106, 110, 116, 124, 136, 158, 178, 184, 190, 206, 224, 230, 238, 256, 274, 280, 316, 320, 338, 340, 386, 410, 428, 446, 458, 464, 470, 484, 496, 530, 544, 550, 556, 590, 626, 634, 644, 646, 674, 710, 718, 728, 730, 764, 766, 770, 778, 818, 836, 838, 848, 850, 880, 890, 896, 910, 916, 928, 964, 986
–2	9, 15, 19, 27, 31, 37, 67, 91, 99, 109, 121, 129, 135, 145, 151, 165, 187, 189, 201, 207, 211, 217, 241, 259, 265, 267, 277, 279, 289, 319, 355, 357, 367, 369, 387, 391, 411, 417, 427, 435, 439, 445, 457, 459, 477, 489, 511, 525, 549, 555, 561, 615, 619, 621, 651, 657, 669, 691, 697, 727, 741, 745, 771, 787, 819, 859, 861, 879, 927, 939, 949, 951, 967, 987
–1	2 e nessun altro
1	1 e nessun altro
2	1, 3, 5, 29, 45, 63, 65, 69, 71, 83, 105, 113, 123, 129, 143, 153, 171, 173, 189, 209, 215, 219, 231, 243, 245, 249, 263, 291, 299, 305, 311, 341, 363, 369, 395, 419, 425, 431, 435, 473, 483, 491, 495, 501, 503, 509, 515, 533, 549, 555, 561, 575, 579, 639, 665, 683, 701, 725, 753, 761, 773, 801, 819, 831, 839, 885, 903, 909, 911, 921, 953, 959, 975, 993
3	2, 4, 16, 22, 26, 32, 50, 52, 62, 64, 74, 76, 86, 94, 100, 104, 106, 124, 140, 142, 164, 166, 176, 182, 184, 190, 202, 212, 224, 236, 280, 284, 286, 290, 302, 370, 374, 394, 410, 430, 434, 454, 466, 470, 472, 496, 500, 502, 542, 584, 602, 604, 610, 614, 616, 634, 644, 682, 686, 692, 694, 700, 712, 734, 754, 760, 764, 766, 782, 784, 812, 824, 842, 866, 880, 886, 892, 896, 914, 922, 956, 982, 994
4	1, 3, 7, 9, 19, 25, 27, 45, 63, 69, 79, 85, 87, 99, 103, 109, 115, 117, 129, 133, 145, 169, 175, 183, 195, 207, 235, 277, 279, 283, 289, 295, 337, 343, 345, 355, 357, 363, 379, 469, 487, 495, 507, 519, 525, 529, 535, 537, 555, 559, 579, 645, 657, 663, 679, 703, 715, 717, 777, 783, 799, 807, 817, 835, 867, 879, 885, 915, 925, 955, 957, 967, 979, 987, 993
5	2, 12, 14, 24, 26, 38, 42, 48, 56, 66, 78, 86, 92, 104, 116, 126, 138, 146, 164, 186, 192, 194, 198, 224, 242, 264, 276, 296, 324, 332, 386, 438, 488, 494, 498, 518, 524, 566, 576, 582, 588, 594, 596, 632, 684, 696, 698, 714, 716, 722, 728, 738, 758, 762, 806, 828, 852, 858, 872, 908, 926, 944, 972
6	1, 5, 7, 13, 17, 41, 73, 77, 101, 103, 133, 143, 145, 161, 173, 181, 187, 251, 271, 283, 293, 313, 325, 391, 395, 425, 461, 497, 503, 511, 523, 581, 593, 595, 647, 671, 703, 733, 745, 803, 805, 815, 833, 847, 853, 875, 941, 965, 973, 997
7	4, 6, 18, 24, 36, 40, 64, 66, 76, 94, 96, 114, 118, 144, 150, 174, 178, 180, 208, 228, 246, 250, 264, 270, 306, 310, 424, 426, 438, 444, 486, 514, 516, 558, 568, 576, 586, 600, 634, 670, 684, 724, 726, 730, 748, 750, 760, 780, 804, 810, 820, 828, 838, 894, 900, 928, 954, 958, 978, 1000
8	Nessuno
9	2, 4, 8, 10, 14, 20, 22, 28, 34, 38, 44, 52, 58, 64, 68, 80, 88, 92, 98, 112, 148, 152, 164, 170, 182, 184, 188, 190, 200, 208, 218, 230, 232, 244, 284, 290, 292, 302, 310, 328, 332, 334, 364, 404, 412, 422, 428, 452, 464, 482, 514, 518, 530, 538, 544, 560, 572, 584, 640, 644, 652, 658, 664, 668, 680, 698, 704, 718, 728, 758, 770, 794, 800, 824, 884, 904, 992, 1000
10	1, 3, 7, 9, 13, 19, 49, 51, 61, 63, 69, 73, 79, 93, 117, 123, 139, 147, 159, 163, 217, 223, 229, 247, 253, 259, 267, 273, 277, 279, 283, 291, 297, 301, 307, 321, 333, 339, 349, 357, 369, 417, 427, 429, 451, 453, 457, 477, 487, 493, 499, 523, 531, 537, 543, 549, 579, 601, 613, 631, 649, 657, 673, 681, 691, 693, 709, 729, 741, 757, 769, 787, 789, 801, 811, 819, 831, 871, 879, 883, 901, 913, 927, 937, 939, 957, 973, 993

La tabella seguente riporta i valori di n fino a 1000 per i quali n⁴ + k è primo, per k da –10 a 10.

k	n
–10	3, 9, 21, 39, 63, 69, 177, 183, 207, 309, 321, 441, 513, 549, 597, 603, 699, 741, 747, 777, 801, 807, 813, 843, 867, 903, 921, 987
–9	2 e nessun altro
–8	3, 5, 7, 9, 11, 31, 37, 39, 49, 77, 79, 93, 95, 101, 105, 115, 123, 135, 161, 165, 189, 193, 199, 207, 215, 219, 229, 233, 241, 243, 249, 261, 277, 287, 297, 325, 331, 333, 341, 347, 361, 369, 375, 387, 389, 413, 417, 437, 439, 465, 479, 483, 499, 507, 513, 527, 543, 557, 577, 579, 591, 611, 613, 619, 635, 637, 669, 679, 695, 723, 739, 747, 759, 761, 789, 805, 843, 849, 859, 861, 865, 877, 889, 893, 907, 913, 927, 929, 945, 963, 977, 987, 989, 991, 999
–7	6, 24, 30, 36, 60, 120, 144, 156, 174, 228, 258, 264, 300, 312, 318, 342, 360, 366, 396, 408, 438, 450, 480, 492, 498, 516, 528, 534, 612, 678, 720, 816, 858, 894, 942, 972
–6	5, 35, 155, 245, 265, 335, 395, 415, 425, 505, 545, 665, 685, 875
–5	2, 4, 6, 8, 12, 18, 32, 38, 56, 58, 62, 66, 74, 84, 94, 114, 124, 142, 144, 146, 148, 176, 184, 186, 204, 208, 214, 226, 232, 234, 238, 242, 248, 256, 264, 294, 302, 312, 316, 322, 334, 342, 362, 366, 374, 378, 388, 392, 406, 446, 466, 492, 494, 496, 512, 534, 538, 546, 616, 628, 644, 654, 666, 674, 698, 712, 714, 748, 764, 798, 802, 836, 848, 862, 868, 876, 884, 906, 938, 962, 968, 982, 996
–4	Nessuno
–3	2, 8, 32, 34, 38, 46, 64, 86, 98, 104, 110, 124, 130, 148, 176, 178, 182, 190, 208, 214, 220, 242, 254, 266, 274, 278, 298, 344, 346, 358, 368, 382, 404, 412, 424, 460, 476, 520, 526, 550, 560, 572, 578, 610, 616, 638, 646, 658, 680, 688, 706, 716, 736, 746, 772, 802, 814, 866, 932, 940, 958, 976
–2	3, 7, 11, 13, 21, 29, 39, 41, 43, 49, 53, 59, 73, 83, 85, 87, 95, 99, 101, 119, 129, 141, 143, 175, 181, 185, 189, 207, 217, 239, 241, 277, 279, 293, 311, 315, 323, 339, 343, 363, 367, 371, 375, 381, 389, 409, 421, 433, 435, 451, 473, 483, 497, 503, 507, 515, 531, 533, 585, 587, 589, 591, 595, 603, 617, 627, 645, 647, 655, 657, 683, 685, 687, 689, 741, 753, 757, 773, 777, 781, 783, 795, 799, 811, 815, 823, 825, 839, 841, 881, 899, 903, 907, 913, 927, 953, 973, 995
–1	Nessuno
1	1, 2, 4, 6, 16, 20, 24, 28, 34, 46, 48, 54, 56, 74, 80, 82, 88, 90, 106, 118, 132, 140, 142, 154, 160, 164, 174, 180, 194, 198, 204, 210, 220, 228, 238, 242, 248, 254, 266, 272, 276, 278, 288, 296, 312, 320, 328, 334, 340, 352, 364, 374, 414, 430, 436, 442, 466, 472, 476, 488, 492, 494, 498, 504, 516, 526, 540, 550, 554, 556, 566, 568, 582, 584, 600, 616, 624, 628, 656, 690, 702, 710, 730, 732, 738, 742, 748, 758, 760, 768, 772, 778, 786, 788, 798, 800, 810, 856, 874, 894, 912, 914, 928, 930, 936, 952, 962, 966, 986, 992, 996
2	1, 3, 9, 15, 21, 45, 57, 63, 69, 87, 99, 129, 141, 279, 285, 333, 345, 453, 459, 465, 471, 513, 519, 627, 657, 669, 693, 729, 771, 777, 783, 795, 801, 807, 873, 909, 921, 933, 969, 987
3	2, 8, 16, 22, 26, 28, 34, 44, 62, 68, 76, 82, 92, 104, 110, 118, 128, 134, 166, 184, 202, 212, 266, 286, 296, 314, 328, 350, 356, 376, 406, 428, 436, 460, 470, 506, 520, 532, 562, 580, 638, 650, 652, 680, 692, 722, 734, 740, 778, 812, 820, 824, 862, 896, 908, 922, 932, 940, 950, 964, 968, 982, 988
4	1 e nessun altro
5	6, 24, 66, 78, 108, 144, 186, 204, 252, 258, 336, 342, 456, 522, 552, 624, 666, 738, 756, 774, 804, 882, 948, 972
6	1, 5, 23, 47, 59, 67, 73, 89, 91, 95, 115, 191, 203, 241, 247, 259, 275, 311, 359, 367, 371, 395, 401, 425, 451, 455, 469, 485, 509, 523, 527, 551, 557, 565, 611, 653, 679, 709, 721, 725, 737, 745, 749, 803, 833, 851, 961, 997
7	2, 4, 6, 10, 12, 16, 32, 34, 38, 46, 54, 62, 66, 68, 72, 76, 88, 100, 104, 120, 128, 132, 138, 150, 160, 178, 194, 198, 202, 220, 226, 236, 240, 244, 254, 262, 268, 270, 284, 286, 292, 310, 314, 330, 332, 334, 340, 342, 348, 352, 356, 362, 374, 386, 408, 414, 418, 422, 424, 446, 578, 618, 628, 636, 680, 684, 694, 702, 730, 736, 752, 758, 760, 782, 792, 794, 804, 814, 836, 858, 880, 890, 898, 906, 908, 930, 948, 950, 958, 978, 992
8	3, 9, 33, 69, 105, 111, 135, 243, 267, 297, 339, 357, 363, 405, 507, 519, 555, 561, 567, 621, 663, 735, 759, 789, 801, 813, 819, 831, 837, 855, 867, 879, 891, 897, 915, 933, 957, 993
9	10, 20, 50, 80, 140, 190, 200, 320, 370, 440, 460, 490, 590, 670, 700, 800, 830
10	1, 7, 9, 13, 33, 51, 69, 117, 121, 139, 161, 203, 239, 267, 273, 321, 359, 371, 391, 399, 411, 481, 499, 511, 539, 567, 579, 597, 607, 611, 643, 721, 789, 797, 811, 877, 891, 911, 919, 961, 979, 987

La tabella seguente riporta i valori di n fino a 1000 per i quali n⁵ + k è primo, per k da –10 a 10.

k	n
–10	3, 59, 93, 177, 191, 203, 287, 441, 443, 531, 533, 597, 639, 669, 731, 741, 801, 837, 903, 933
–9	2, 10, 20, 22, 52, 56, 70, 98, 122, 152, 188, 206, 208, 286, 320, 338, 346, 350, 362, 376, 392, 412, 446, 482, 496, 530, 598, 608, 650, 698, 728, 742, 776, 808, 812, 896, 950, 958, 986
–8	25, 49, 51, 61, 67, 75, 81, 91, 105, 159, 189, 207, 217, 219, 235, 237, 261, 289, 325, 357, 361, 367, 375, 415, 475, 501, 535, 579, 591, 627, 637, 717, 765, 811, 817, 865, 907, 919, 955, 969
–7	18, 20, 36, 44, 54, 78, 104, 116, 138, 156, 186, 188, 194, 204, 216, 290, 320, 374, 384, 386, 396, 404, 408, 428, 470, 480, 536, 548, 564, 606, 620, 626, 650, 654, 696, 710, 738, 740, 744, 764, 794, 800, 816, 858, 876, 914, 926, 930, 950, 990
–6	5, 25, 29, 35, 37, 77, 89, 107, 133, 193, 203, 227, 355, 427, 437, 449, 493, 619, 623, 653, 655, 659, 779, 785, 805, 823, 829, 865, 953, 973, 985
–5	4, 12, 16, 42, 102, 124, 132, 144, 184, 232, 274, 288, 306, 316, 336, 352, 406, 438, 478, 582, 606, 622, 706, 742, 754, 762, 814, 832, 916, 922, 964, 984, 996
–4	3, 5, 11, 15, 33, 57, 63, 125, 155, 161, 171, 195, 281, 291, 297, 315, 321, 353, 363, 371, 437, 477, 515, 525, 545, 575, 617, 663, 671, 683, 753, 791, 801, 813, 867, 893, 917, 935, 941, 945, 957, 971, 977, 987
–3	2, 4, 16, 20, 62, 70, 76, 92, 130, 146, 184, 196, 212, 220, 260, 262, 266, 272, 392, 416, 424, 430, 506, 532, 536, 562, 592, 632, 634, 664, 704, 734, 736, 784, 806, 826, 844, 904, 926, 980
–2	3, 13, 31, 63, 93, 139, 181, 211, 229, 265, 271, 303, 325, 339, 343, 345, 411, 441, 519, 523, 531, 549, 555, 573, 619, 663, 675, 681, 693, 741, 751, 805, 819, 835, 853, 861, 945, 951, 969, 975, 993
–1	2 e nessun altro
1	1 e nessun altro
2	1, 9, 11, 15, 27, 39, 51, 57, 105, 149, 179, 197, 219, 225, 231, 275, 281, 285, 299, 315, 317, 321, 335, 369, 389, 401, 405, 411, 419, 425, 491, 509, 545, 561, 587, 725, 741, 779, 789, 819, 855, 879, 909, 915, 977
3	8, 10, 20, 26, 34, 64, 68, 88, 98, 106, 116, 140, 188, 190, 214, 220, 244, 250, 266, 280, 286, 298, 314, 406, 448, 466, 554, 568, 610, 656, 676, 724, 776, 796, 824, 830, 896, 916, 928, 944, 964, 986
4	1, 7, 9, 25, 39, 45, 73, 85, 99, 147, 163, 165, 169, 189, 213, 219, 223, 225, 249, 253, 259, 279, 333, 337, 385, 433, 457, 465, 469, 477, 499, 595, 639, 643, 655, 703, 709, 715, 729, 849, 853, 895, 969, 973, 979, 987
5	2, 36, 42, 56, 72, 98, 122, 134, 156, 162, 182, 212, 302, 338, 386, 486, 492, 576, 642, 666, 672, 698, 708, 722, 734, 782, 828, 846, 878, 882, 888, 896, 938, 962, 974, 986, 992
6	1, 13, 77, 83, 131, 157, 187, 217, 251, 293, 353, 367, 373, 383, 391, 395, 397, 425, 431, 433, 457, 487, 497, 541, 571, 581, 613, 665, 761, 763, 767, 773, 893, 901, 923, 955, 985
7	4, 12, 16, 22, 30, 40, 64, 72, 76, 90, 102, 114, 120, 142, 186, 234, 346, 394, 424, 442, 544, 570, 582, 586, 604, 660, 670, 696, 720, 726, 762, 766, 820, 852, 864, 880, 894, 934, 954, 960, 970, 972
8	3, 11, 21, 23, 29, 33, 63, 65, 81, 95, 101, 105, 113, 119, 143, 189, 191, 201, 215, 225, 255, 269, 281, 285, 299, 323, 333, 345, 353, 371, 389, 401, 459, 471, 513, 515, 533, 585, 623, 645, 669, 689, 719, 723, 753, 771, 891, 903, 921, 929, 933, 945, 953, 975, 989
9	2, 4, 22, 28, 34, 58, 64, 134, 148, 188, 190, 194, 328, 334, 358, 418, 422, 464, 538, 602, 632, 662, 664, 670, 728, 760, 772, 778, 862
10	1, 13, 99, 211, 253, 319, 327, 501, 517, 519, 561, 637, 699, 747, 759, 769, 787, 843, 871, 901, 921, 957

La tabella seguente riporta i valori di n fino a 1000 per i quali n⁶ + k è primo, per k da –10 a 10.

k	n
–10	3, 27, 33, 57, 111, 183, 207, 267, 411, 417, 429, 447, 483, 549, 573, 591, 621, 633, 651, 663, 711, 729, 747, 777, 783, 981, 993
–9	Nessuno
–8	Nessuno
–7	6, 18, 30, 48, 96, 162, 198, 234, 342, 408, 414, 450, 540, 558, 636, 780, 828, 942, 978
–6	5, 7, 17, 37, 113, 137, 157, 173, 175, 203, 223, 227, 295, 337, 395, 407, 475, 487, 503, 535, 605, 617, 707, 743, 797, 833, 857, 863, 865, 877, 905, 943, 947, 965, 973, 995
–5	2, 4, 8, 12, 18, 22, 24, 42, 64, 106, 118, 158, 164, 166, 172, 194, 196, 242, 252, 274, 282, 296, 332, 338, 366, 382, 398, 426, 442, 448, 454, 458, 462, 472, 488, 564, 568, 574, 598, 604, 614, 616, 618, 638, 686, 694, 708, 716, 728, 736, 752, 762, 788, 802, 814, 822, 892, 894, 898, 916, 934, 948, 964, 986, 988, 992
–4	Nessuno
–3	2, 4, 16, 22, 44, 62, 76, 86, 110, 122, 130, 142, 200, 230, 238, 254, 260, 284, 292, 380, 418, 452, 464, 482, 484, 500, 508, 532, 554, 574, 604, 614, 616, 634, 640, 680, 682, 694, 748, 766, 772, 794, 832, 862, 874, 890, 914, 920, 922, 946, 992
–2	3, 11, 17, 35, 37, 47, 49, 59, 67, 77, 99, 123, 127, 133, 139, 155, 161, 169, 173, 187, 195, 213, 225, 231, 237, 241, 245, 247, 253, 275, 279, 297, 319, 325, 367, 373, 381, 383, 385, 399, 411, 425, 431, 469, 507, 511, 523, 541, 545, 553, 569, 585, 589, 609, 613, 621, 631, 633, 655, 657, 673, 683, 691, 745, 759, 775, 795, 799, 829, 837, 869, 891, 925, 933, 935, 967, 977, 989, 999
–1	Nessuno
1	1 e nessun altro
2	1, 39, 51, 81, 195, 213, 219, 231, 333, 351, 393, 417, 501, 531, 567, 657, 729, 747, 807, 945
3	2, 4, 8, 10, 28, 32, 38, 56, 112, 116, 122, 124, 134, 146, 148, 176, 178, 184, 190, 206, 220, 250, 262, 268, 272, 304, 322, 346, 358, 362, 386, 392, 394, 454, 524, 532, 556, 562, 578, 590, 614, 662, 682, 698, 706, 712, 724, 736, 782, 808, 820, 844, 856, 892, 910, 932, 946, 974, 988, 1000
4	1, 3, 5, 13, 17, 23, 93, 103, 107, 135, 165, 203, 235, 243, 247, 285, 303, 317, 337, 353, 357, 377, 383, 397, 403, 415, 473, 505, 513, 557, 567, 585, 605, 607, 655, 657, 663, 675, 697, 753, 793, 807, 817, 837, 843, 847, 853, 883, 913, 923, 925, 985, 987
5	18, 24, 114, 204, 216, 222, 246, 276, 312, 318, 372, 384, 426, 438, 468, 498, 582, 618, 654, 822, 888, 948, 984
6	1, 175, 385, 539, 595, 679
7	2, 6, 8, 12, 24, 30, 32, 38, 46, 50, 54, 60, 74, 80, 86, 96, 102, 104, 108, 120, 142, 156, 174, 186, 200, 206, 212, 240, 270, 284, 288, 292, 328, 354, 360, 362, 366, 368, 408, 430, 442, 450, 452, 456, 460, 470, 484, 498, 506, 508, 516, 522, 544, 556, 562, 606, 614, 660, 680, 734, 776, 792, 794, 814, 820, 830, 834, 864, 866, 944, 958, 960, 970, 988
8	Nessuno
9	2, 8, 32, 80, 88, 140, 178, 262, 268, 362, 418, 442, 458, 490, 502, 508, 520, 542, 580, 598, 710, 730, 790, 862, 920, 962, 1000
10	1, 3, 7, 27, 47, 93, 139, 141, 157, 161, 173, 201, 227, 251, 269, 283, 289, 317, 379, 389, 393, 401, 449, 457, 487, 493, 509, 517, 543, 561, 597, 603, 611, 619, 643, 657, 699, 729, 759, 777, 803, 827, 847, 867, 887, 919

La tabella seguente riporta i valori di n fino a 1000 per i quali n⁷+ k è primo, per k da –10 a 10.

k	n
–10	27, 29, 33, 63, 69, 93, 333, 371, 383, 407, 453, 497, 539, 627, 641, 687, 693, 749, 767, 771, 833, 897, 909, 999
–9	8, 10, 20, 46, 52, 62, 116, 118, 140, 200, 326, 340, 368, 370, 392, 460, 466, 470, 472, 508, 526, 556, 592, 616, 748, 778, 808, 946
–8	3, 9, 25, 79, 115, 121, 129, 153, 189, 195, 205, 273, 313, 345, 375, 405, 409, 429, 469, 549, 643, 669, 675, 871, 895, 949
–7	60, 66, 132, 212, 242, 246, 290, 296, 312, 326, 380, 384, 446, 516, 524, 554, 654, 704, 740, 782, 834
–6	19, 35, 43, 113, 157, 173, 193, 259, 283, 299, 313, 329, 343, 389, 407, 413, 445, 635, 695, 757, 863, 889, 955, 959, 989
–5	66, 106, 108, 144, 156, 162, 198, 252, 256, 304, 382, 456, 556, 612, 636, 688, 696, 702, 706, 744, 772, 798, 846
–4	5, 21, 27, 45, 107, 117, 153, 213, 287, 311, 323, 345, 395, 435, 483, 525, 663, 677, 755, 827, 861, 957, 971, 981
–3	4, 20, 44, 76, 134, 200, 218, 226, 238, 254, 296, 298, 310, 358, 410, 446, 488, 490, 496, 560, 574, 586, 620, 680, 730, 778, 826, 886, 898, 968
–2	7, 15, 25, 87, 91, 99, 199, 211, 265, 337, 357, 361, 367, 405, 501, 511, 537, 595, 627, 685, 697, 771, 805, 841, 847, 861, 889, 931, 939, 979
–1	2 e nessun altro
1	1 e nessun altro
2	1, 9, 21, 53, 63, 99, 123, 141, 155, 185, 213, 315, 363, 375, 449, 513, 521, 543, 555, 653, 669, 699, 731, 735, 759, 801, 843, 881, 975, 983, 995
3	2, 16, 20, 70, 80, 92, 170, 190, 202, 220, 250, 254, 280, 304, 320, 334, 356, 434, 476, 484, 496, 554, 650, 674, 694, 722, 742, 752, 796, 812, 814, 836, 854, 874, 916, 926, 940, 964, 994
4	1, 7, 15, 43, 49, 63, 93, 193, 205, 207, 265, 345, 349, 357, 385, 445, 517, 559, 597, 603, 609, 613, 627, 729, 813, 889, 909, 925, 975
5	6, 36, 42, 68, 102, 176, 182, 258, 426, 444, 468, 488, 498, 542, 554, 608, 774, 782, 812, 888
6	1, 13, 17, 23, 61, 73, 77, 101, 137, 215, 221, 283, 307, 317, 361, 431, 457, 473, 481, 641, 731, 767, 817, 881, 985
7	16, 48, 66, 76, 94, 114, 120, 214, 216, 270, 346, 454, 496, 516, 594, 598, 606, 628, 730, 780, 786, 808, 936, 948
8	9, 17, 39, 51, 95, 191, 221, 245, 275, 339, 371, 455, 477, 485, 507, 521, 561, 575, 609, 641, 669, 719, 789, 831, 845, 857, 897, 935, 947, 977, 981
9	2, 14, 34, 112, 122, 130, 154, 164, 170, 200, 220, 224, 262, 314, 328, 344, 350, 398, 422, 434, 442, 490, 532, 548, 554, 560, 584, 590, 620, 652, 682, 694, 704, 718, 722, 772, 812, 872, 878, 898, 958, 968
10	1, 7, 33, 43, 91, 157, 181, 187, 201, 229, 259, 283, 307, 337, 351, 357, 381, 387, 433, 493, 579, 621, 643, 667, 687, 733, 789, 799, 813, 819, 829, 847, 849, 931, 951

La tabella seguente riporta i valori di n fino a 1000 per i quali n⁸+ k è primo, per k da –10 a 10.

k	n
–10	3, 21, 51, 87, 183, 357, 477, 693, 723, 771, 789, 891, 957, 981
–9	Nessuno
–8	3, 7, 19, 39, 73, 75, 101, 107, 145, 147, 171, 213, 235, 247, 263, 285, 319, 353, 359, 369, 399, 443, 445, 521, 523, 557, 613, 675, 693, 707, 733, 781, 791, 805, 815, 829, 837, 879, 927, 943, 961, 999
–7	6, 12, 102, 162, 180, 234, 360, 396, 450, 468, 618, 750, 774, 804, 870
–6	85, 115, 175, 205, 245, 295, 685, 745, 845, 895, 935
–5	2, 12, 16, 38, 66, 78, 82, 84, 88, 128, 136, 164, 182, 198, 204, 226, 246, 286, 292, 312, 348, 372, 392, 408, 418, 456, 496, 506, 524, 544, 548, 562, 584, 594, 628, 632, 662, 702, 708, 714, 786, 798, 804, 818, 826, 854, 876, 892, 914, 926
–4	Nessuno
–3	8, 34, 38, 62, 116, 172, 184, 248, 326, 380, 392, 406, 424, 470, 506, 518, 520, 562, 590, 598, 616, 694, 712, 716, 730, 808, 850, 886, 898, 980
–2	7, 29, 51, 61, 65, 71, 91, 127, 161, 173, 181, 189, 203, 219, 233, 237, 251, 257, 279, 391, 483, 517, 545, 567, 569, 609, 635, 639, 649, 685, 691, 695, 699, 705, 727, 775, 797, 805, 863, 877, 911, 925, 971, 987
–1	Nessuno
1	1, 2, 4, 118, 132, 140, 152, 208, 240, 242, 288, 290, 306, 378, 392, 426, 434, 442, 508, 510, 540, 542, 562, 596, 610, 664, 680, 682, 732, 782, 800, 808, 866, 876, 884, 892, 916, 918, 934, 956, 990
2	1, 3, 27, 93, 129, 141, 177, 225, 255, 273, 291, 375, 399, 405, 459, 531, 537, 669, 723, 867, 993, 999
3	4, 74, 94, 112, 116, 130, 134, 200, 202, 214, 302, 316, 356, 364, 406, 428, 434, 532, 578, 596, 634, 700, 748, 760, 832, 976
4	1 e nessun altro
5	12, 72, 246, 264, 306, 342, 378, 504, 594, 618, 714, 876
6	1, 31, 49, 103, 175, 205, 385, 389, 455, 535, 577, 599, 607, 647, 683, 703, 791, 809, 857, 889, 973, 985
7	2, 4, 10, 66, 68, 86, 88, 134, 146, 200, 216, 250, 276, 306, 310, 410, 422, 472, 492, 506, 516, 538, 548, 550, 594, 638, 716, 746, 758, 862, 888, 942, 954, 964, 982, 992, 998, 1000
8	3, 33, 105, 129, 165, 201, 231, 351, 363, 393, 447, 543, 687, 861, 951
9	110, 350, 410, 500, 580, 670, 680, 710, 980
10	1, 3, 11, 31, 91, 143, 179, 183, 297, 651, 759, 783, 827, 829, 843, 907, 959

La tabella seguente riporta i valori di n fino a 1000 per i quali n⁹+ k è primo, per k da –10 a 10.

k	n
–10	9, 17, 47, 59, 77, 81, 149, 159, 167, 173, 179, 189, 213, 251, 363, 389, 473, 519, 581, 729, 771, 773, 807, 833, 849, 899, 927, 971
–9	2, 62, 86, 88, 116, 152, 266, 292, 310, 326, 338, 356, 406, 436, 466, 470, 518, 550, 568, 616, 626, 650, 688, 700, 722, 812, 850, 926, 956, 992
–8	Nessuno
–7	6, 18, 20, 26, 38, 48, 50, 90, 108, 114, 120, 150, 174, 246, 314, 348, 354, 416, 440, 450, 528, 660, 744, 764, 768, 900, 944, 974
–6	7, 53, 259, 427, 529, 665, 707, 749, 809
–5	4, 16, 22, 72, 76, 94, 142, 228, 258, 276, 358, 364, 424, 436, 516, 528, 546, 598, 612, 744, 832, 904, 924, 948, 958
–4	23, 33, 51, 147, 153, 177, 233, 281, 431, 447, 501, 561, 651, 713, 717, 801, 821, 827, 843, 867, 947
–3	2, 20, 22, 46, 74, 76, 104, 110, 112, 140, 196, 206, 212, 322, 332, 386, 434, 440, 572, 602, 764, 766, 806, 812, 820, 986
–2	3, 123, 141, 153, 165, 231, 253, 309, 351, 381, 399, 411, 439, 445, 579, 603, 615, 619, 663, 673, 675, 775, 811, 829, 901
–1	Nessuno
1	1 e nessun altro
2	1, 11, 41, 81, 101, 141, 155, 227, 411, 435, 461, 471, 587, 597, 641, 711, 767, 837, 861, 867, 887, 977
3	4, 14, 74, 94, 98, 100, 110, 164, 176, 236, 248, 250, 290, 296, 364, 374, 400, 410, 454, 478, 490, 500, 520, 526, 550, 668, 676, 686, 754, 868, 880, 958
4	1, 3, 7, 67, 69, 73, 117, 187, 205, 219, 289, 309, 385, 453, 463, 567, 573, 639, 715, 763, 777, 849, 913, 963, 985
5	18, 36, 38, 44, 54, 198, 234, 252, 272, 338, 344, 368, 374, 482, 506, 536, 546, 548, 638, 642, 678, 704, 744, 776, 896, 938, 984
6	1, 35, 47, 73, 115, 161, 175, 241, 271, 293, 517, 773, 997
7	4, 10, 22, 60, 82, 96, 214, 216, 226, 276, 316, 426, 492, 514, 606, 724, 726, 780, 792, 796, 832, 852, 936, 984, 996
8	Nessuno
9	2, 4, 10, 20, 40, 98, 100, 118, 122, 134, 140, 164, 190, 262, 272, 362, 400, 410, 494, 592, 602, 632, 638, 664, 830, 860, 862, 880, 938, 944, 962
10	1, 9, 43, 51, 81, 121, 261, 273, 313, 319, 381, 393, 403, 439, 457, 651, 799, 883, 889, 897, 967

La tabella seguente riporta i valori di n fino a 1000 per i quali n¹⁰+ k è primo, per k da –10 a 10.

k	n
–10	21, 201, 267, 321, 369, 459, 537, 651, 669, 699, 723, 753
–9	Nessuno
–8	5, 7, 9, 17, 19, 63, 123, 137, 143, 159, 185, 203, 285, 297, 329, 361, 413, 451, 465, 487, 499, 501, 515, 551, 553, 639, 651, 663, 675, 719, 725, 767, 793, 803, 809, 815, 823, 829, 837, 861, 885, 985
–7	6, 36, 60, 90, 108, 144, 174, 186, 384, 396, 498, 516, 522, 552, 570, 618, 804, 846, 852, 870, 876, 888
–6	5, 35, 85, 103, 205, 223, 245, 247, 397, 527, 575, 635, 815, 895, 953
–5	2, 4, 12, 34, 58, 76, 174, 178, 194, 202, 326, 348, 358, 368, 386, 428, 436, 446, 464, 466, 472, 484, 566, 604, 628, 654, 802, 814, 856, 864, 914, 962, 968
–4	Nessuno
–3	2, 4, 14, 28, 104, 158, 188, 298, 308, 310, 326, 358, 362, 412, 482, 490, 550, 568, 592, 596, 710, 724, 742, 784, 800, 818, 830, 844, 856, 890, 968, 982
–2	21, 53, 59, 73, 77, 85, 105, 113, 123, 137, 141, 193, 239, 255, 281, 315, 321, 361, 385, 409, 455, 505, 559, 573, 613, 615, 627, 661, 685, 829, 875, 937
–1	Nessuno
1	1 e nessun altro
2	1, 3, 15, 105, 129, 141, 225, 291, 501, 639, 681, 723, 753, 807
3	8, 26, 70, 140, 146, 170, 280, 316, 334, 338, 386, 448, 464, 482, 490, 506, 526, 562, 608, 614, 628, 670, 680, 694, 806, 958, 968, 994
4	1, 3, 5, 13, 15, 27, 45, 55, 63, 103, 135, 177, 207, 235, 273, 283, 313, 423, 435, 487, 493, 507, 567, 573, 583, 605, 623, 657, 673, 675, 725, 747, 783, 785, 817, 835, 865, 883, 947, 967, 973
5	6, 24, 48, 102, 126, 186, 252, 276, 294, 372, 426, 444, 468, 594, 966, 984
6	1, 95, 109, 145, 191, 221, 259, 341, 401, 455
7	2, 4, 8, 58, 68, 92, 96, 108, 118, 144, 158, 198, 202, 216, 276, 288, 292, 318, 348, 370, 382, 386, 398, 454, 472, 484, 488, 510, 530, 544, 592, 692, 718, 740, 778, 786, 866, 876, 878, 890, 892, 922, 926, 928, 960, 964, 984, 992
8	9, 15, 57, 69, 135, 153, 171, 195, 357, 501, 567, 591, 681, 723, 951, 969
9	2, 8, 238, 310, 338, 442, 542, 688, 698, 872, 920
10	1, 539, 583

I valori di n per i quali nm + k è primo, per n fino a 1000, m da 3 a 10 e k da –10 a 10

I valori di n per i quali n^m + k è primo, per n fino a 1000, m da 3 a 10 e k da –10 a 10