

A265484


Numbers n such that 36^n  6^n  1 is prime.


1



1, 2, 3, 4, 24, 63, 81, 92, 165, 232, 236, 591, 669, 1343, 2973, 3630, 5600, 7019, 17169, 31945, 52172
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OFFSET

1,2


COMMENTS

For n = 1, 2, 3, 4, 24 the corresponding primes are 29, 1259, 46439, 1678319, 22452257707354557235348829785471057919.
a(22) > 10^5.  Robert Price, Jan 06 2020


LINKS

Table of n, a(n) for n=1..21.


EXAMPLE

4 is in the sequence because 36^4  6^4  1 = 1678319 is prime.


MATHEMATICA

Select[Range[1000], PrimeQ[36^#  6^#  1] &]


PROG

(MAGMA) [n: n in [0..300]  IsPrime(36^n6^n1)];
(PARI) for(n=1, 1e3, if(ispseudoprime(36^n  6^n  1), print1(n, ", "))) \\ Altug Alkan, Dec 12 2015


CROSSREFS

Cf. similar sequences listed in A265481.
Sequence in context: A233344 A329566 A329532 * A000336 A287433 A235041
Adjacent sequences: A265481 A265482 A265483 * A265485 A265486 A265487


KEYWORD

nonn,more


AUTHOR

Vincenzo Librandi, Dec 12 2015


EXTENSIONS

a(14)a(18) from Ray Chandler, Sep 25 2019
a(18) corrected and a(19)a(21) added by Robert Price, Jan 06 2020


STATUS

approved



