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 A216592 Numbers m such that 8^m + m^8 + 1 is prime. 0
 0, 108, 27018 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Next term > 2*10^4. a(4) > 10^5. - Robert Price, Oct 08 2015 LINKS 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: A299951 A230273 A230613 * 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

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Last modified January 29 20:26 EST 2023. Contains 359926 sequences. (Running on oeis4.)