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

1,1

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

Formula

Googol = 10^100.

Mathematica

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

Prog

(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", "); ); ) }

Crossrefs

Cf. A001097, A001359, A006512, A133282.

Sequence in context: A156405 A065611 A101252 * A326320 A364177 A216065

Adjacent sequences: A133278 A133279 A133280 * A133282 A133283 A133284

Keyword

nonn

Author

Cino Hilliard, Oct 13 2007

Extensions

More terms from Amiram Eldar, Dec 26 2019

Status

approved