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A122128 Primes of form Sum[ Prime[k]^4, {k,1,n} ] or primes in A122102[n]. 1

%I #2 Mar 31 2012 13:20:28

%S 97,1567204831,771745495049,2523423764749,7766703722053,

%T 16167518745751,28962816187367,42932141486099,65562552714433,

%U 109392979058371,142311158323421,194472382292633,434809071709709,654363068549089

%N Primes of form Sum[ Prime[k]^4, {k,1,n} ] or primes in A122102[n].

%C A122102[n] = Sum[ Prime[k]^4, {k,1,n} ] begins {16,97,722,3123,17764,46325,...}. Indices n such that A122102[n] is prime are listed in A122127[n] = {2,32,90,110,134,152,168,180,194,212,222,234,270,290,300,...}.

%F a(n) = A122102[ A122127[n] ].

%t Select[Table[Sum[Prime[k]^4,{k,1,n}],{n,1,700}],PrimeQ[ #1]&]

%Y Cf. A122102, A122127.

%K nonn

%O 1,1

%A _Alexander Adamchuk_, Aug 20 2006

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