A249394 Numbers k such that the k-th ménage number is prime.

4, 5, 13, 53, 8645

Offset

1,1

Comments

This sequence is heuristically conjectured to grow doubly-exponentially.

a(6) > 100000. - Hans Havermann, Jan 19 2019

Links

Table of n, a(n) for n=1..5.

Adam P. Goucher, Menage primes, Complex Projective 4-Space.

Example

The only known ménage primes are M(4) = 2, M(5) = 13, M(13) = 775596313, M(53) = 567525075138663383127158192994765939404930668817780601409606090331861, and M(8645).

Prog

(PARI) is(n)=ispseudoprime(round(2*n*exp(-2)*besselk(n, 2))) \\ Charles R Greathouse IV, Nov 10 2014

Crossrefs

By definition, the inverse image of A000040 under the function A000179.

The ménage primes themselves are given in A249510.

Sequence in context: A272898 A102981 A257487 * A295278 A029663 A251723

Adjacent sequences: A249391 A249392 A249393 * A249395 A249396 A249397

Keyword

nonn,hard

Author

Adam P. Goucher, Oct 30 2014

Extensions

Example edited by Hans Havermann, Jan 19 2019

Status

approved