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A215609 Smallest prime p congruent to 1 modulo prime(10^n). 0

%I #6 Aug 18 2012 00:35:00

%S 3,59,9739,63353,209459,15596509,154858631,1794246731,4076149487,

%T 45603526979,11092303227413,93864728285579,1319833868136653

%N Smallest prime p congruent to 1 modulo prime(10^n).

%F a(n)=A035095(10^n).

%e a(0)=3 because p=prime(1)=2, 3=1+p

%e a(1)=59 because p=prime(10)=29, 59=1+2*p

%e a(2)=9739 because p=prime(10)=29, 59=1+18*p.

%t a[n_]:=(If[n<2,3,p=Prime[n];r=2p+1;While[!PrimeQ[r],r=r+2p];r]);Table[a[10^n],{n,0,12}]

%Y Cf. A035095.

%K nonn,more

%O 0,1

%A _Zak Seidov_, Aug 17 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)