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A103911 Numbers n such that 2*P(n)+1, 2*P(n+1)+1, 2*P(n+2)+3, 2*P(n+3)+3 are also consecutive primes with P(i)=i-th prime. 2

%I #5 Mar 08 2014 09:03:12

%S 34771,219423,507698,776248,920369,1655143,1820948,1847083,1883839,

%T 2179339,2747429,2979743,3075306,3516977,3579987,3905386,3991750,

%U 4167882,5183712

%N Numbers n such that 2*P(n)+1, 2*P(n+1)+1, 2*P(n+2)+3, 2*P(n+3)+3 are also consecutive primes with P(i)=i-th prime.

%t cpQ[n_]:=Module[{a=2Prime[n]+1,b=2Prime[n+1]+1,c=2Prime[n+2]+3,d= 2Prime[ n+3]+3}, PrimeQ[ a]&&NextPrime[a]==b&&NextPrime[b]==c&&NextPrime[c]==d]; Select[Range[5200000],cpQ] (* _Harvey P. Dale_, Mar 08 2014 *)

%Y Cf. A103912 A103913.

%K nonn

%O 1,1

%A _Pierre CAMI_, Feb 21 2005

%E Corrected by _Harvey P. Dale_, Mar 08 2014

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)