

A294722


Numbers n such that (44^n  1)/43 is prime.


1




OFFSET

1,1


COMMENTS

Number corresponding to a(4) is a probable prime.
These are the indices of base44 repunit primes, i.e., numbers n such that A002275(n) interpreted as base44 number and converted to decimal is prime.  Felix Fröhlich, Nov 08 2017


LINKS

Table of n, a(n) for n=1..4.
P. Bourdelais, A generalized repunit conjecture


MATHEMATICA

ParallelMap[ If[ PrimeQ[(44^#  1)/43], #, Nothing] &, Prime@Range @ 10000] (* Robert G. Wilson v, Nov 25 2017 *)


PROG

(PFGW) ABC2 (44^$a1)/43 // f{2*$a}
a: primes from 2 to 1000000
(PARI) is(n) = ispseudoprime((44^n1)/43) \\ Felix Fröhlich, Nov 08 2017


CROSSREFS

Cf. A028491, A004061, A004062, A004063, A004023, A005808, A004064, A016054, A006032, A006033, A006034, A006035, A127995, A127996, A127997, A127998, A127999, A098438, A128002, A128003, A128004, A128005, A240765.
Sequence in context: A092496 A045904 A034353 * A237622 A239334 A180635
Adjacent sequences: A294719 A294720 A294721 * A294723 A294724 A294725


KEYWORD

nonn,more


AUTHOR

Paul Bourdelais, Nov 07 2017


STATUS

approved



