cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A250191 Numbers n such that Phi(44,n) is prime, where Phi is the cyclotomic polynomial.

Original entry on oeis.org

25, 60, 70, 77, 86, 116, 117, 119, 137, 151, 166, 175, 176, 177, 181, 184, 202, 208, 229, 241, 300, 313, 328, 332, 344, 385, 402, 442, 444, 446, 453, 467, 470, 500, 501, 522, 527, 531, 532, 534, 568, 584, 592, 629, 690, 696, 701, 706, 709, 728, 734, 749, 795, 812, 828, 838, 844, 845, 855, 857, 950, 951, 965, 991, 1009
Offset: 1

Views

Author

R. J. Mathar, Jan 12 2015

Keywords

Crossrefs

Cf. A246392.

Programs

  • Mathematica
    Select[Range[1100], PrimeQ[Cyclotomic[44, #]] &] (* Vincenzo Librandi, Jan 16 2015 *)
  • PARI
    {is(n)=isprime(polcyclo(44,n))};
    for(n=1,1000, if(is(n)==1, print1(n, ", "))) \\ G. C. Greubel, May 18 2018

A250192 Numbers n such that Phi(45,n) is prime, where Phi is the cyclotomic polynomial.

Original entry on oeis.org

11, 18, 23, 24, 29, 33, 40, 51, 61, 65, 85, 91, 95, 113, 153, 206, 207, 218, 264, 276, 285, 292, 313, 332, 347, 362, 367, 391, 417, 418, 424, 426, 428, 439, 444, 451, 454, 468, 476, 493, 542, 601, 634, 642, 653, 657, 680, 705, 734, 764, 783, 787, 856, 867, 873, 915, 942, 945, 953, 964, 971, 1013, 1022, 1044, 1054, 1058, 1070
Offset: 1

Views

Author

R. J. Mathar, Jan 12 2015

Keywords

Crossrefs

Cf. A246392.

Programs

  • Mathematica
    Select[Range[1000], PrimeQ[Cyclotomic[45, #]] &] (* Vincenzo Librandi, Jan 16 2015 *)
  • PARI
    {is(n)=isprime(polcyclo(45,n))};
    for(n=1,1000, if(is(n)==1, print1(n, ", "))) \\ G. C. Greubel, May 18 2018

A250194 Numbers n such that Phi(48,n) is prime, where Phi is the cyclotomic polynomial.

Original entry on oeis.org

5, 7, 10, 16, 17, 39, 41, 51, 55, 70, 96, 97, 104, 132, 136, 137, 148, 182, 195, 206, 216, 227, 234, 236, 245, 262, 267, 278, 283, 287, 305, 310, 331, 361, 362, 380, 384, 409, 410, 411, 423, 438, 446, 464, 473, 495, 522, 549, 561, 564, 578, 587, 591, 592, 602, 619, 622, 633, 665, 679, 687, 714, 741, 759, 777
Offset: 1

Views

Author

R. J. Mathar, Jan 12 2015

Keywords

Crossrefs

Cf. A246392.

Programs

  • Mathematica
    Select[Range[800], PrimeQ[Cyclotomic[48, #]] &] (* Vincenzo Librandi, Jan 17 2015 *)
  • PARI
    {is(n)=isprime(polcyclo(48,n))};
    for(n=1,1000, if(is(n)==1, print1(n, ", "))) \\ G. C. Greubel, May 18 2018

A250195 Numbers n such that Phi(49,n) is prime, where Phi is the cyclotomic polynomial.

Original entry on oeis.org

1, 2, 5, 62, 67, 104, 123, 138, 151, 186, 194, 233, 236, 261, 269, 306, 359, 416, 425, 439, 557, 613, 695, 705, 742, 748, 821, 832, 884, 885, 892, 902, 936, 937, 1125, 1165, 1176, 1248, 1265, 1320, 1337, 1386, 1544, 1594, 1675, 1707, 1712, 1714, 1722, 1725, 1798, 1840, 1844
Offset: 1

Views

Author

R. J. Mathar, Jan 12 2015

Keywords

Crossrefs

Cf. A246392.

Programs

  • Mathematica
    Select[Range[1900], PrimeQ[Cyclotomic[49, #]] &] (* Vincenzo Librandi, Jan 17 2015 *)
  • PARI
    {is(n)=isprime(polcyclo(49,n))};
    for(n=1,1000, if(is(n), print1(n, ", "))) \\ G. C. Greubel, May 20 2018

A250196 Numbers n such that Phi(50,n) is prime, where Phi is the cyclotomic polynomial.

Original entry on oeis.org

6, 7, 17, 42, 56, 62, 106, 108, 112, 141, 161, 163, 173, 210, 212, 231, 296, 306, 342, 360, 382, 395, 400, 416, 418, 431, 435, 457, 458, 492, 517, 530, 531, 540, 551, 618, 637, 672, 697, 713, 722, 732, 790, 791, 810, 850, 852, 876, 898, 902, 926, 928, 937, 938, 970, 1010, 1091, 1118, 1123, 1150, 1157, 1165
Offset: 1

Views

Author

R. J. Mathar, Jan 12 2015

Keywords

Crossrefs

Cf. A246392.

Programs

  • Mathematica
    Select[Range[1200], PrimeQ[Cyclotomic[50, #]] &] (* Vincenzo Librandi, Jan 16 2015 *)
  • PARI
    {is(n)=isprime(polcyclo(50,n))};
    for(n=1,1000, if(is(n), print1(n, ", "))) \\ G. C. Greubel, May 20 2018

A260559 Numbers k such that (k^31+1)/(k+1) is prime.

Original entry on oeis.org

2, 6, 10, 36, 65, 74, 78, 83, 106, 115, 120, 148, 161, 163, 168, 176, 189, 194, 197, 266, 270, 288, 331, 385, 399, 407, 410, 412, 413, 431, 468, 513, 524, 546, 569, 572, 578, 581, 600, 611, 625, 626, 647, 719, 723, 756, 832, 834, 849, 922, 986, 1006, 1007, 1047
Offset: 1

Views

Author

Tim Johannes Ohrtmann, Jul 29 2015

Keywords

Crossrefs

Programs

  • Magma
    [n: n in [1..10000] |IsPrime((n^31 + 1) div (n + 1))];
  • Mathematica
    Select[Range[1, 10000], PrimeQ[(#^31 + 1)/(# + 1)] &]
  • PARI
    for(n=1,10000, if(isprime((n^31+1)/(n+1)), print1(n,", ")))
    

A260560 Numbers n such that (n^37+1)/(n+1) is prime.

Original entry on oeis.org

16, 19, 21, 49, 56, 63, 71, 74, 77, 83, 92, 96, 99, 160, 172, 197, 198, 230, 241, 280, 283, 415, 425, 448, 490, 520, 627, 691, 735, 784, 803, 829, 842, 853, 871, 872, 893, 894, 973, 981, 989, 1043, 1060, 1061, 1071, 1179, 1182, 1203, 1290, 1299, 1317, 1370, 1389
Offset: 1

Views

Author

Tim Johannes Ohrtmann, Jul 29 2015

Keywords

Crossrefs

Programs

  • Magma
    [n: n in [1..10000] |IsPrime((n^37 + 1) div (n + 1))]
  • Mathematica
    Select[Range[1, 10000], PrimeQ[(#^37 + 1)/(# + 1)] &]
  • PARI
    for(n=1,10000, if(isprime((n^37+1)/(n+1)), print1(n,", ")))
    

A260571 Numbers n such that (n^83+1)/(n+1) is prime.

Original entry on oeis.org

49, 75, 458, 471, 634, 734, 798, 809, 932, 1139, 1268, 1400, 1498, 1963, 1989, 2112, 2177, 2233, 2252, 2349, 2365, 2446, 2729, 2841, 2861, 2887, 3013, 3048, 3239, 3262, 3403, 3464, 3703, 3855, 3883, 4534, 5147, 5189, 5523, 5611, 5778, 6041, 6200, 6336, 6682, 7068
Offset: 1

Views

Author

Tim Johannes Ohrtmann, Jul 29 2015

Keywords

Crossrefs

Programs

  • Magma
    [n: n in [1..10000] |IsPrime((n^83 + 1) div (n + 1))]
  • Mathematica
    Select[Range[1, 10000], PrimeQ[(#^83 + 1)/(# + 1)] &]
  • PARI
    for(n=1,10000, if(isprime((n^83+1)/(n+1)), print1(n,", ")))
    

A260572 Numbers n such that (n^89+1)/(n+1) is prime.

Original entry on oeis.org

16, 20, 93, 195, 227, 325, 465, 758, 888, 911, 1075, 1301, 1590, 1640, 1783, 1807, 2168, 2204, 2231, 2376, 2528, 2591, 2627, 2648, 2909, 2959, 3063, 3109, 3650, 3688, 3709, 3784, 3910, 3943, 4132, 4162, 4385, 4417, 4443, 4613, 5183, 5465, 5574, 5750, 5854, 5975
Offset: 1

Views

Author

Tim Johannes Ohrtmann, Jul 29 2015

Keywords

Crossrefs

Programs

  • Magma
    [n: n in [1..10000] |IsPrime((n^89 + 1) div (n + 1))]
  • Mathematica
    Select[Range[1, 10000], PrimeQ[(#^89 + 1)/(# + 1)] &]
  • PARI
    for(n=1,10000, if(isprime((n^89+1)/(n+1)), print1(n,", ")))
    

A260561 Numbers n such that (n^41+1)/(n+1) is prime.

Original entry on oeis.org

61, 63, 99, 144, 230, 312, 360, 401, 413, 424, 451, 515, 542, 567, 610, 618, 622, 651, 690, 732, 817, 871, 1007, 1100, 1156, 1278, 1403, 1427, 1460, 1535, 1572, 1604, 1681, 1742, 1802, 1820, 1847, 1903, 1910, 1913, 1978, 2019, 2104, 2134, 2152, 2169, 2309, 2383
Offset: 1

Views

Author

Tim Johannes Ohrtmann, Jul 29 2015

Keywords

Crossrefs

Programs

  • Magma
    [n: n in [1..10000] |IsPrime((n^41 + 1) div (n + 1))]
  • Mathematica
    Select[Range[1, 10000], PrimeQ[(#^41 + 1)/(# + 1)] &]
  • PARI
    for(n=1,10000, if(isprime((n^41+1)/(n+1)), print1(n,", ")))
    
Previous Showing 21-30 of 40 results. Next