A106808 Numbers k such that 4440011 * 10^k - 1 is prime.

12, 44, 75, 237, 3186, 4379, 5535, 6363, 13707, 14463

Offset: 1

Author

Jason Earls, May 18 2005

Keywords

• nonn

Comments

These are primes with square digits and they have all been certified. No more terms up to 37000. Primality proof for the largest: PFGW Version 20041001.Win_Stable (v1.2 RC1b) [FFT v23.8] Primality testing 4440011*10^14463-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) 4440011*10^14463-1 is prime! (268.8294s+0.0548s)

Links

• R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations.

Crossrefs

Cf. A061246.

Programs

PARI

is(n)=ispseudoprime(4440011*10^n-1) \\ Charles R Greathouse IV, Jun 13 2017