A215538 Numbers k such that 101^k - 100^k is prime.

43, 59, 661, 1597, 3853, 6073, 7723, 12097

Offset: 1

Author

Jean-Louis Charton, Aug 15 2012

Keywords

• nonn
• hard
• more

Comments

Terms found by Mike Oakes. No more term <= 10000.

a(9) > 40000. - Michael S. Branicky, Apr 16 2025

Programs

Mathematica

Select[Prime[Range[PrimePi[1000]]], PrimeQ[101^# - 100^#] &] (* T. D. Noe, Aug 15 2012 *)

PARI

is(n)=ispseudoprime(101^n-100^n) \\ Charles R Greathouse IV, Jun 06 2017

Extensions

a(8) from Tim Johannes Ohrtmann, Jan 28 2018