A133281 Numbers k such that k + googol is a lower twin prime.

35737, 58291, 59257, 63361, 87079, 138277, 141979, 175831, 178897, 219979, 365491, 394681, 413497, 503209, 558187, 599197, 655051, 730321, 747751, 757189, 763369, 788617, 831079, 861331, 865417, 870247, 900199, 947881, 1038217, 1081801, 1131037, 1165201, 1182229

Offset: 1

Author

Cino Hilliard, Oct 13 2007

Keywords

• nonn

Comments

For k > 219979, k + a googol is a probable prime.

For each of the 28 terms listed, the Magma Calculator (http://magma.maths.usyd.edu.au/calc/) verified that both 10^100 + a(n) and 10^100 + a(n) + 2 were prime. - Jon E. Schoenfield, Aug 24 2009

Links

• Amiram Eldar, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001097, A001359, A006512, A133282.

Programs

Mathematica

Select[Range[10^6],And @@ PrimeQ[10^100 + # + {0, 2}] &] (* Amiram Eldar, Dec 26 2019 *)

PARI

googol(n) = { local(x,a,j); x=10^100; forstep(j=1,1000000,2, a=x+j; if(ispseudoprime(a)&ispseudoprime(a+2), print1(j","); ); ) }

Formula

Googol = 10^100.

Extensions

More terms from Amiram Eldar, Dec 26 2019