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A122126
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Primes of form Sum[ Prime[k]^5, {k,1,n} ] or primes in A122103[n].
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2
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32353461605953, 9874820441996857, 10821208357045699, 20261841065985329, 30672624709674923, 126540093912585209, 267908140423628051, 538379772006780299, 1713808283318707391, 2413049165702037271
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OFFSET
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1,1
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COMMENTS
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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,...}.
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LINKS
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FORMULA
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MATHEMATICA
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Select[Table[Sum[Prime[k]^5, {k, 1, n}], {n, 1, 1000}], PrimeQ[ #1]&]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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