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Numbers k such that k + googol is a lower twin prime.
3

%I #17 Dec 26 2019 05:07:06

%S 35737,58291,59257,63361,87079,138277,141979,175831,178897,219979,

%T 365491,394681,413497,503209,558187,599197,655051,730321,747751,

%U 757189,763369,788617,831079,861331,865417,870247,900199,947881,1038217,1081801,1131037,1165201,1182229

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

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

%C 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

%H Amiram Eldar, <a href="/A133281/b133281.txt">Table of n, a(n) for n = 1..1000</a>

%F Googol = 10^100.

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

%o (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","); ); ) }

%Y Cf. A001097, A001359, A006512, A133282.

%K nonn

%O 1,1

%A _Cino Hilliard_, Oct 13 2007

%E More terms from _Amiram Eldar_, Dec 26 2019