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Position of the first n-digit prime in the decimal expansion of e=exp(1).
3

%I #5 Feb 18 2014 23:12:05

%S 0,1,0,14,13,12,0,64,19,99,37,53,7,47,39,40,8,82,151,18,51,5,15,65,3,

%T 3,68,24,27,6,96,173,3,47,126,10,39,57,47,68,44,39,33,118,5,6,91,60,1,

%U 39,137,104,331,27,69,321,61,230,77,236,244,65,48,438,297,92,359,40,214

%N Position of the first n-digit prime in the decimal expansion of e=exp(1).

%C a(10)=99 leads to the 10-digit prime 7427466391 which is the answer to the so-called "google puzzle" (January 2006).

%o (PARI) \p10000 e=exp(1): f(i,l)=lift(Mod(floor(e*10^(l-1+i)),10^l)) prem(l)=local(i);i=0;while(!isprime(f(i,l)),i++);i for(l=1,1000,write(indices,Str(prem(l) ", ")))

%K nonn,base

%O 1,4

%A Pascal Molin (colin.lampas(AT)laposte.net), Feb 23 2006