A062666 Numbers k such that 100^k - 99^k is prime.

2, 5, 19, 59, 1013, 2371, 13967, 44683

Offset: 1

Author

Mike Oakes, May 18 2001, May 19 2001

Keywords

• nonn
• hard

Comments

Terms > 10000 correspond to probable primes.

a(9) > 10^5. - Robert Price, Jul 10 2013

Crossrefs

Cf. A000043, A057468, A059801, A059802, A062572-A062665.

Programs

Mathematica

lst={}; k=100; Do[If[PrimeQ[k^n-(k-1)^n], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 26 2008 *)

PARI

forprime(p=2,1e5,if(ispseudoprime(100^p-99^p),print1(p", "))) \\ Charles R Greathouse IV, Jun 10 2011

Extensions

Edited by T. D. Noe, Oct 30 2008

a(7)-a(8) from Robert Price, Jul 10 2013