A255389 Primes of the form 166^k - 165^k.

331, 82171, 3751197451

Offset

1,1

Comments

a(4) has 1641 digits and a(5) has 1717 digits. - Vincenzo Librandi, Feb 22 2015

The values of k are 2, 3, 5, 739, 773, ... - Jinyuan Wang, May 30 2020

Links

Table of n, a(n) for n=1..3.

Michael P. May, On the Existence and Frequency Distribution of the Shell Primes, arXiv preprint arXiv:1510.01028 [math.CO], 2015.

Mathematica

Select[Table[166^n - 165^n, {n, 1000}], PrimeQ] (* Vincenzo Librandi, Feb 22 2015 *)

Prog

(Magma) [a: n in [0..600] | IsPrime(a) where a is 166^n-165^n]; // Vincenzo Librandi, Feb 22 2015
(PARI) select(m->ispseudoprime(m), vector(10, k, 166^k-165^k)) \\ Jinyuan Wang, May 30 2020

Crossrefs

Cf. A254298.

Sequence in context: A060894 A002228 A199820 * A133141 A231755 A097401

Adjacent sequences: A255386 A255387 A255388 * A255390 A255391 A255392

Keyword

nonn,bref

Author

Michael P. May, Feb 21 2015

Status

approved