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 A122126 Primes of form Sum[ Prime[k]^5, {k,1,n} ] or primes in A122103[n]. 2
 32353461605953, 9874820441996857, 10821208357045699, 20261841065985329, 30672624709674923, 126540093912585209, 267908140423628051, 538379772006780299, 1713808283318707391, 2413049165702037271 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A122103[n] = Sum[ Prime[k]^5, {k,1,n} ] begins {32,275,3400,20207,181258,552551,1972408,4448507,...}. Indices n such that A122103[n] is prime are listed in A122125[n] = {66,148,150,164,174,214,238,264,312,328,354,440,516,536,616,624,724,744,774, 836,940,...}. LINKS FORMULA a(n) = A122103[ A122125[n] ]. MATHEMATICA Select[Table[Sum[Prime[k]^5, {k, 1, n}], {n, 1, 1000}], PrimeQ[ #1]&] CROSSREFS Cf. A122103, A122125. Sequence in context: A171264 A172574 A229069 * A318575 A337915 A211112 Adjacent sequences: A122123 A122124 A122125 * A122127 A122128 A122129 KEYWORD nonn AUTHOR Alexander Adamchuk, Aug 20 2006 STATUS approved

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Last modified December 4 16:09 EST 2022. Contains 358558 sequences. (Running on oeis4.)