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.

User: Nicolas M. Perrault

Nicolas M. Perrault's wiki page.

Nicolas M. Perrault has authored 16 sequences. Here are the ten most recent ones:

A219038 Numbers k such that 3^k - 14 is prime.

Original entry on oeis.org

3, 4, 5, 8, 17, 19, 29, 124, 304, 640, 1205, 1549, 1805, 2492, 2945, 13075, 20237, 102763, 173755, 173828, 174040
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(22) > 2*10^5. - Robert Price, Aug 31 2013

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n - 14], Print[n]], {n, 3, 3000}]
Select[Range[1000], PrimeQ[3^# - 14] &] (* Alonso del Arte, Nov 10 2012 *)
  • PARI
    is(n)=isprime(3^n-14) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(16)-a(21) from Robert Price, Aug 31 2013

A219050 Numbers k such that 3^k + 34 is prime.

Original entry on oeis.org

1, 2, 3, 5, 7, 9, 10, 17, 27, 34, 51, 57, 61, 89, 98, 171, 547, 569, 769, 874, 1105, 2198, 2307, 3937, 4685, 5105, 5582, 11131, 11821, 15902, 24626, 36401, 46195, 50974, 65198, 66685
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(37) > 2*10^5. - Robert Price, Nov 24 2013

Examples

			For k = 2, 3^2 + 34 = 43 (prime), so 2 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n + 34], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n+34) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(28)-a(36) from Robert Price, Nov 24 2013

A219049 Numbers k such that 3^k - 32 is prime.

Original entry on oeis.org

5, 8, 18, 21, 69, 84, 181, 216, 461, 642, 672, 2413, 3681, 5666, 12281, 14949, 19508, 27817, 34061, 43236, 43733, 81828
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(23) > 2*10^5. - Robert Price, Dec 22 2013

Examples

			3^5 - 32 = 211 (prime), so 5 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n - 32], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n-32) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(15)-a(22) from Robert Price, Dec 22 2013

A219048 Numbers k such that 3^k + 32 is prime.

Original entry on oeis.org

2, 3, 4, 6, 23, 24, 38, 164, 172, 176, 207, 216, 251, 272, 424, 1112, 1318, 2072, 2664, 3143, 4704, 5236, 9526, 13064, 13523, 27111, 35931, 37504, 47542, 128656, 181551
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(32) > 2*10^5. - Robert Price, Nov 15 2013

Examples

			For k = 2, 3^2 + 32 = 41 (prime). Hence k = 2 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n + 32], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n+32) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(23)-a(31) from Robert Price, Nov 15 2013

A219047 Numbers k such that 3^k - 28 is prime.

Original entry on oeis.org

4, 6, 10, 15, 22, 24, 27, 35, 63, 91, 95, 96, 124, 132, 220, 280, 338, 372, 432, 568, 692, 738, 1144, 1168, 1698, 2080, 2138, 2710, 2895, 2984, 3536, 3816, 4462, 4972, 6588, 6666, 10350, 58991, 68854, 145806, 163500, 196192
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(43) > 2*10^5. - Robert Price, Dec 10 2013

Examples

			3^4 - 28 = 53 (prime), so 4 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n - 28], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n-28) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(37)-a(42) from Robert Price, Dec 10 2013

A219046 Numbers k such that 3^k + 28 is prime.

Original entry on oeis.org

1, 2, 4, 5, 6, 10, 14, 16, 25, 50, 54, 66, 76, 109, 124, 129, 154, 201, 210, 225, 324, 844, 1444, 2529, 3029, 3292, 3340, 9162, 44721, 45662, 114085, 197542
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(33) > 2*10^5. - Robert Price, Nov 12 2013

Examples

			3^2 + 28 = 37 and 37 is prime, so 2 is a term.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n + 28], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n+28) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(29)-a(32) from Robert Price, Nov 12 2013

A219045 Numbers k such that 3^k - 26 is prime.

Original entry on oeis.org

7, 10, 13, 22, 27, 30, 57, 62, 117, 255, 535, 651, 873, 998, 1502, 18145, 22766, 25770, 43558, 45663, 48058, 62887, 87477, 103585, 115802
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(26) > 2*10^5. - Robert Price, Nov 20 2013

Examples

			3^7 - 26 = 2161 (prime), so 7 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n - 26], Print[n]], {n, 3, 10000}]
  • PARI
    is(n)=isprime(3^n-26) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(16)-a(25) from Robert Price, Nov 20 2013

A219044 Numbers k such that 3^k + 26 is prime.

Original entry on oeis.org

1, 3, 4, 5, 7, 9, 11, 16, 24, 28, 49, 53, 63, 88, 137, 184, 217, 299, 300, 732, 815, 999, 1243, 1320, 1397, 1668, 2109, 2681, 4973, 5513, 12100, 14284, 14592, 35812, 38559, 49687, 53167, 66907, 88765, 98251, 113548, 137988, 139432, 148008
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(45) > 2*10^5. - Robert Price, Nov 29 2013

Examples

			3^3 + 26 = 53 (prime), so 3 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n + 26], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n+26) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(31)-a(44) from Robert Price, Nov 29 2013

A219043 Numbers k such that 3^k - 22 is prime.

Original entry on oeis.org

3, 4, 9, 13, 28, 45, 46, 184, 285, 688, 697, 1257, 1785, 2368, 3721, 7444, 51613
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(18) > 2*10^5. - Robert Price, Oct 18 2013

Examples

			3^3 - 22 = 5 (prime), so 3 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n - 22], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n-22) \\ Charles R Greathouse IV, Feb 17 2017
  • Python
    from sympy import isprime
def ok(n): return isprime(3**n - 22)
print([m for m in range(700) if ok(m)]) # Michael S. Branicky, Mar 04 2021

Extensions

a(17) from Robert Price, Oct 18 2013

A219042 Numbers k such that 3^k + 22 is prime.

Original entry on oeis.org

2, 4, 6, 14, 24, 35, 79, 178, 186, 230, 328, 494, 664, 839, 1103, 1678, 2074, 3096, 5150, 6948, 9919, 13655, 19483, 22927, 39991, 54551, 67687, 76655, 90151, 175250, 179120
Offset: 1

Views

Author

Nicolas M. Perrault, Nov 10 2012

Keywords

Comments

a(32) > 2*10^5. - Robert Price, Dec 04 2013

Examples

			3^2 + 22 = 31 (prime), so 2 is in the sequence.

Crossrefs

Cf. Sequences of numbers k such that 3^k + m is prime:
(m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
(m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
(m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
(m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
(m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
(m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.

Programs

  • Mathematica
    Do[If[PrimeQ[3^n + 22], Print[n]], {n, 10000}]
  • PARI
    is(n)=isprime(3^n+22) \\ Charles R Greathouse IV, Feb 17 2017

Extensions

a(21)-a(31) from Robert Price, Dec 04 2013

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

Content is available under The OEIS End-User License Agreement.