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

0, 108, 27018

Offset

1,2

Comments

Next term > 2*10^4.

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

Links

Table of n, a(n) for n=1..3.

Example

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

Mathematica

Select[Range[0, 10000], PrimeQ[8^# + #^8 + 1] &]

Prog

(PARI) is(n)=ispseudoprime(8^n+n^8+1) \\ Charles R Greathouse IV, Jun 13 2017

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).

Sequence in context: A230273 A230613 A377246 * A202634 A270255 A269269

Adjacent sequences: A216589 A216590 A216591 * A216593 A216594 A216595

Keyword

nonn,hard,more,bref

Author

Vincenzo Librandi, Sep 09 2012

Extensions

a(3) from Robert Price, Oct 08 2015

Status

approved