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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A272401 Primes of the form abs(3n^3 - 183n^2 + 3318n - 18757) in order of increasing nonnegative n.

Original entry on oeis.org

18757, 15619, 12829, 10369, 8221, 6367, 4789, 3469, 2389, 1531, 877, 409, 109, 41, 59, 37, 229, 499, 829, 1201, 1597, 1999, 2389, 2749, 3061, 3307, 3469, 3529, 3469, 3271, 2917, 2389, 1669, 739, 419, 1823, 3491, 5441, 7691, 10259, 13163, 16421, 20051, 24071
Offset: 1

Views

Author

Robert Price, Apr 28 2016

Keywords

Examples

			8221 is in this sequence since abs(3*4^3 - 183*4^2 + 3318*4 - 18757) = abs(192-2928+13272-18757) = 8221 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272159, A271143, A272284, A272302.

Programs

  • Mathematica
    n = Range[0, 100]; Select[3n^3 - 183n^2 + 3318n - 18757 , PrimeQ[#] &]

A272118 Numbers k such that abs(6*k^2 - 342*k + 4903) is prime.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 61, 62, 64, 66, 67, 68, 69, 71, 72
Offset: 1

Views

Author

Robert Price, Apr 20 2016

Keywords

Examples

			4 is in this sequence since 6*4^2 - 342*4 + 4903 = 96-1368+4903 = 3631 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272074, A272075.

Programs

  • Mathematica
    Select[Range[0, 100], PrimeQ[6*#^2 - 342*# + 4903] &]
  • PARI
    isok(n) = isprime(abs(6*n^2 - 342*n + 4903)); \\ Michel Marcus, Apr 21 2016

A272302 Nonnegative numbers n such that abs(3n^3 - 183n^2 + 3318n - 18757) is prime.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 51, 53, 56, 57, 59, 60, 62, 63, 65, 66, 69, 70, 74, 79, 80, 81, 82, 85
Offset: 1

Views

Author

Robert Price, Apr 28 2016

Keywords

Comments

47 is the smallest number not in this sequence.

Examples

			4 is in this sequence since abs(3*4^3 - 183*4^2 + 3318*4 - 18757) = abs(192-2928+13272-18757) = 8221 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266, A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401.

Programs

  • Mathematica
    Select[Range[0, 100], PrimeQ[3#^3 - 183#^2 + 3318# - 18757 ] &]
  • PARI
    is(n)=isprime(abs(3*n^2-183*n^2+3318*n-18757)) \\ Charles R Greathouse IV, Feb 17 2017

A272438 Primes of the form abs(-66n^3 + 3845n^2 - 60897n + 251831) in order of increasing nonnegative n.

Original entry on oeis.org

251831, 194713, 144889, 101963, 65539, 35221, 10613, 8681, 23057, 32911, 38639, 40637, 39301, 35027, 28211, 19249, 8537, 3529, 16553, 30139, 43891, 57413, 70309, 82183, 92639, 101281, 107713, 111539, 112363, 109789, 103421, 92863, 77719, 57593, 32089, 811
Offset: 1

Views

Author

Robert Price, Apr 29 2016

Keywords

Examples

			65539 is in this sequence since abs(-66*4^3 + 3845*4^2 - 60897*4 + 251831) = abs(-4224+61520-243588+251831) = 65539 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272159, A271143, A272284, A272302, A272437.

Programs

  • Mathematica
    n = Range[0, 100]; Select[-66n^3 + 3845n^2 - 60897n + 251831, PrimeQ[#] &]

A272437 Nonnegative numbers n such that abs(-66n^3 + 3845n^2 - 60897n + 251831) is prime.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 49, 51, 54, 58, 65, 68, 70, 75, 76, 77, 82, 88, 89, 97, 99, 101, 102, 104, 109
Offset: 1

Views

Author

Robert Price, Apr 29 2016

Keywords

Comments

46 is the smallest number not in this sequence.

Examples

			4 is in this sequence since abs(-66*4^3 + 3845*4^2 - 60897*4 + 251831) = abs(-4224+61520-243588+251831) = 65539 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266, A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401, A272438.

Programs

  • Mathematica
    Select[Range[0, 109], PrimeQ[-66#^3 + 3845#^2 - 60897# + 251831] &]
  • PARI
    is(n)=isprime(abs(66*n^3-3845*n^2+60897*n-251831)) \\ Charles R Greathouse IV, Feb 20 2017

A272444 Primes of the form abs(n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397) in order of increasing nonnegative n.

Original entry on oeis.org

286397, 8543, 210011, 336121, 402851, 424163, 412123, 377021, 327491, 270631, 212123, 156353, 106531, 64811, 32411, 9733, 3517, 8209, 5669, 2441, 14243, 27763, 41051, 52301, 59971, 62903, 60443, 52561, 39971, 24251, 7963, 5227, 10429, 1409, 29531, 91673
Offset: 1

Views

Author

Robert Price, Apr 29 2016

Keywords

Examples

			402851 is in this sequence since abs(4^5 - 99*4^4 + 3588*4^3 - 56822*4^2 + 348272*4 - 286397) = abs(1024-25344+229632-909152+1393088-286397) = 402851 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272159, A271143, A272284, A272302, A272437, A272443.

Programs

  • Mathematica
    n = Range[0, 100]; Select[n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397, PrimeQ[#] &]
  • PARI
    lista(nn) = for(n=0, nn, if(isprime(p=abs(n^5-99*n^4+3588*n^3-56822*n^2+348272*n-286397)), print1(p, ", "))); \\ Altug Alkan, Apr 29 2016

A256585 Primes of the form 3n^2 + 39n + 37.

Original entry on oeis.org

37, 79, 127, 181, 241, 307, 379, 457, 541, 631, 727, 829, 937, 1051, 1171, 1297, 1429, 1567, 1861, 2017, 2179, 2347, 2521, 2887, 3079, 3691, 3907, 4129, 4357, 4591, 4831, 5077, 5851, 6121, 6397, 6679, 6967, 7561, 7867, 8179, 8821, 9151, 9829, 10177, 10531
Offset: 1

Views

Author

S. J. Vincent, Apr 02 2015

Keywords

Comments

Primes of the form 6*m+1 such that 8*m + 121 is a square. - Bruno Berselli, Apr 18 2016

Links

Crossrefs

Cf. A271980, A005846, A007635, A007641, A048988, A050265 - A050268.

Programs

  • Maple
    select(isprime, [3*k*(k+13)+37$k=0..100])[];  # Alois P. Heinz, Apr 16 2025
  • Mathematica
    Select[(3 #^2 + 39 # + 37) & /@ Range[0, 100], PrimeQ] (* Robert Price, Apr 16 2025 *)

A272323 Nonnegative numbers n such that abs(82n^3 - 1228n^2 + 6130n - 5861) is prime.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 34, 37, 39, 41, 43, 47, 49, 50, 53, 54, 55, 59, 61, 63, 64, 67, 72, 73, 75, 76, 81, 84, 86, 87, 88, 89, 90, 92, 95, 97, 98, 102, 103, 104
Offset: 1

Views

Author

Robert Price, Apr 25 2016

Keywords

Comments

32 is the smallest number not in this sequence.

Examples

			4 is in this sequence since 82*4^3 - 1228*4^2 + 6130*4 - 5861 = 5248-19648+24520-5861 = 4259 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272324, A076808.

Programs

  • Mathematica
    Select[Range[0, 100], PrimeQ[82#^3 - 1228#^2 + 6130# - 5861] &]
  • PARI
    lista(nn) = for(n=0, nn, if(isprime(abs(82*n^3-1228*n^2+6130*n-5861)), print1(n, ", "))); \\ Altug Alkan, Apr 25 2016

A272410 Primes of the form abs(n^4 - 97n^3 + 3294n^2 - 45458n + 213589) in order of increasing nonnegative n.

Original entry on oeis.org

213589, 171329, 135089, 104323, 78509, 57149, 39769, 25919, 15173, 7129, 1409, 2341, 4451, 5227, 4951, 3881, 2251, 271, 1873, 4019, 6029, 7789, 9209, 10223, 10789, 10889, 10529, 9739, 8573, 7109, 5449, 3719, 2069, 673, 271, 541, 109, 1949, 5273, 10399, 17669
Offset: 1

Views

Author

Robert Price, Apr 30 2016

Keywords

Examples

			78509 is in this sequence since abs(4^4 - 97*4^3 + 3294*4^2 - 45458*4 + 213589) = abs(256-6208+52704-181832+213589) = 78509 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272159, A271143, A272284, A272302, A272437, A272443, A268200.

Programs

  • Mathematica
    n = Range[0, 100]; Select[n^4 - 97n^3 + 3294n^2 - 45458n + 213589, PrimeQ[#] &]

A272443 Nonnegative numbers n such that abs(n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397) is prime.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 50, 51, 53, 57, 58, 59, 64, 67, 70, 75, 79, 80, 81, 89, 91, 92, 93, 96, 99
Offset: 1

Views

Author

Robert Price, Apr 29 2016

Keywords

Comments

47 is the smallest number not in this sequence.

Examples

			4 is in this sequence since abs(4^5 - 99*4^4 + 3588*4^3 - 56822*4^2 + 348272*4 - 286397) = abs(1024-25344+229632-909152+1393088-286397) = 402851 is prime.

Links

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401, A272438, A272444.

Programs

  • Mathematica
    Select[Range[0, 100], PrimeQ[#^5 - 99#^4 + 3588#^3 - 56822#^2 + 348272# - 286397] &]
  • PARI
    lista(nn) = for(n=0, nn, if(isprime(abs(n^5-99*n^4+3588*n^3-56822*n^2+348272*n-286397)), print1(n, ", "))); \\ Altug Alkan, Apr 29 2016
Previous Showing 11-20 of 40 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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