A215436 -id:A215436 - cp's OEIS frontend

A215441 Numbers k such that 3^k + k^3 + 1 is prime.

0, 1, 7, 39, 97, 115, 199, 1287, 1411, 2713, 4647, 84985

Offset: 1

Vincenzo Librandi, Sep 03 2012

nonn

a(13) > 2*10^5. - Robert Price, Mar 06 2014

[n: n in [0..800] | IsPrime(3^n+n^3+1)];

Select[Range[0, 5000], PrimeQ[3^# + #^3 + 1] & ]

is(n)=isprime(3^n+n^3+1) \\ Charles R Greathouse IV, Mar 06 2014

a(12) from Robert Price, Mar 06 2014

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

Original entry on oeis.org

0, 108, 27018

Offset: 1

Vincenzo Librandi, Sep 09 2012

Next term > 2*10^4.

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

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

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).

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

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

a(3) from Robert Price, Oct 08 2015

cp's OEIS Frontend

A215441 Numbers k such that 3^k + k^3 + 1 is prime.

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