

A249394


Numbers n such that the nth ménage number is prime


1




OFFSET

1,1


COMMENTS

This sequence is heuristically conjectured to grow doublyexponentially.
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 4Space.


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



