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

331, 82171, 3751197451

Offset: 1

Author

Michael P. May, Feb 21 2015

Keywords

• nonn
• bref

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

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

Crossrefs

Cf. A254298.

Programs

Magma

[a: n in [0..600] | IsPrime(a) where a is 166^n-165^n]; // Vincenzo Librandi, Feb 22 2015

Mathematica

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

PARI

select(m->ispseudoprime(m), vector(10, k, 166^k-165^k)) \\ Jinyuan Wang, May 30 2020