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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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A216592 Numbers m such that 8^m + m^8 + 1 is prime.

Original entry on oeis.org

0, 108, 27018
Offset: 1

Views

Author

Vincenzo Librandi, Sep 09 2012

Keywords

Comments

Next term > 2*10^4.
a(4) > 10^5. - Robert Price, Oct 08 2015

Examples

			8^0 + 0^8 + 1 = 2, which is prime, so 0 is in the sequence.

Crossrefs

Cf. Numbers m such that k^m + m^k + 1 is prime: A100357 (k=2), A215441 (k=3), A216423 (k=4), A215442 (k=5), A243934 (k=6), A215444 (k=7), this sequence (k=8), A216618 (k=10), A216375 (k=11), A216421 (k=13).
Cf. Numbers m such that k^m + m^k - 1 is prime: A215439 (k=2), A215440 (k=3), A216424 (k=4), A215443 (k=5), A216425 (k=6), A215445 (k=7), A216591 (k=8), A216619 (k=10), A215446 (k=11), A216420 (k=13), A216422 (k=19).
Cf. Primes of form k^m + m^k + 1: A035325 (k=2), A215436 (k=3), A215438 (k=5).
Cf. Primes of form k^m + m^k - 1: A215434 (k=2), A215435 (k=3), A215437 (k=5).

Programs

  • Mathematica
    Select[Range[0, 10000], PrimeQ[8^# + #^8 + 1] &]
  • PARI
    is(n)=ispseudoprime(8^n+n^8+1) \\ Charles R Greathouse IV, Jun 13 2017

Extensions

a(3) from Robert Price, Oct 08 2015
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