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: Jean-Louis Charton

Jean-Louis Charton's wiki page.

Jean-Louis Charton has authored 13 sequences. Here are the ten most recent ones:

A227170 Numbers n such that (16^n + 15^n)/31 is prime.

Original entry on oeis.org

3, 5, 13, 1439, 1669, 37691
Offset: 1

Author

Jean-Louis Charton, Jul 03 2013

Keywords

Comments

All terms are prime.
a(7) > 10^5. - Robert Price, Aug 26 2013

Programs

A227174 Numbers n such that (140^n + 139^n)/279 is prime.

Original entry on oeis.org

23, 41, 43, 151, 2927, 6133
Offset: 1

Author

Jean-Louis Charton, Jul 03 2013

Keywords

Comments

All terms are prime.
a(7) > 10^4.
a(7) > 43400. - Lucas A. Brown, Nov 26 2020

Programs

A227173 Numbers k such that (138^k + 137^k)/275 is prime.

Original entry on oeis.org

7, 13, 2371, 2791, 2999, 4621, 8819, 21563
Offset: 1

Author

Jean-Louis Charton, Jul 03 2013

Keywords

Comments

All terms are prime.

Programs

Extensions

a(8) from Tyler Busby, Mar 19 2023

A227172 Numbers k such that (48^k + 47^k)/95 is prime.

Original entry on oeis.org

13, 31, 631, 5279, 36781
Offset: 1

Author

Jean-Louis Charton, Jul 03 2013

Keywords

Comments

All terms are prime.
a(5) > 10^4.

Programs

Extensions

a(5) from Michael S. Branicky, Jun 23 2025

A227171 Numbers n such that (18^n + 17^n)/35 is prime.

Original entry on oeis.org

3, 47, 53, 2411, 4057, 7963, 10273, 15737, 53299
Offset: 1

Author

Jean-Louis Charton, Jul 03 2013

Keywords

Comments

All terms are prime.

Programs

Extensions

a(7), a(8) from Richard Fischer, Aug 18 2013
a(9) from Robert Price, Aug 25 2013

A216666 Smallest integer b such that (b+1)^p - b^p is prime for all primes p <= prime(n).

Original entry on oeis.org

1, 1, 1, 1, 6524, 809652228, 30717523794, 55779743835
Offset: 1

Author

Jean-Louis Charton, Sep 13 2012

Keywords

Comments

Is this sequence infinite?
a(9) > 10^11. - Tyler Busby, Feb 20 2023

Examples

			a(1)=a(2)=a(3)=a(4)=1 since 2^2-1, 2^3-1, 2^5-1 and 2^7-1 are primes.
		

Crossrefs

Cf. A216668.

Extensions

a(7) from Jean-Louis Charton, Sep 18 2012
a(8) from Jean-Louis Charton, Oct 02 2012

A216668 Smallest integer b > 1 such that for all primes p <= prime(n), (b+1)^p - b^p is prime if and only if 2^p-1 is prime.

Original entry on oeis.org

2, 2, 2, 296, 296, 369719, 457578, 43410300320, 43410300320, 43410300320, 288975248496
Offset: 1

Author

Jean-Louis Charton, Sep 13 2012

Keywords

Crossrefs

Cf. A216666.

Extensions

a(11) from Jean-Louis Charton, Oct 03 2012

A215632 Numbers n such that 44^n - 43^n is prime or PRP.

Original entry on oeis.org

37, 283, 62903
Offset: 1

Author

Jean-Louis Charton, Aug 18 2012

Keywords

Comments

No other term <= 68141.
a(4) > 10^5. - Robert Price, Sep 04 2012

Programs

Extensions

Edited by M. F. Hasler, Sep 21 2013

A215538 Numbers k such that 101^k - 100^k is prime.

Original entry on oeis.org

43, 59, 661, 1597, 3853, 6073, 7723, 12097
Offset: 1

Author

Jean-Louis Charton, Aug 15 2012

Keywords

Comments

Terms found by Mike Oakes. No more term <= 10000.
a(9) > 40000. - Michael S. Branicky, Apr 16 2025

Programs

  • Mathematica
    Select[Prime[Range[PrimePi[1000]]], PrimeQ[101^# - 100^#] &] (* T. D. Noe, Aug 15 2012 *)
  • PARI
    is(n)=ispseudoprime(101^n-100^n) \\ Charles R Greathouse IV, Jun 06 2017

Extensions

a(8) from Tim Johannes Ohrtmann, Jan 28 2018

A215536 Numbers n such that 87^n - 86^n is prime.

Original entry on oeis.org

2, 3, 47, 44563
Offset: 1

Author

Jean-Louis Charton, Aug 15 2012

Keywords

Comments

a(5) > 10^5. - Robert Price, May 11 2015

Programs

  • Mathematica
    Select[Prime[Range[PrimePi[1000]]], PrimeQ[87^# - 86^#] &] (* T. D. Noe, Aug 15 2012 *)
  • PARI
    is(n)=ispseudoprime(87^n-86^n) \\ Charles R Greathouse IV, Jun 06 2017

Extensions

a(4) from Robert Price (computer run by Adam Marciniec), May 11 2015