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Search: id:A121756
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| A121756 |
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Primes p such that sum of first p primes divides product of first p primes. |
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+0
2
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| 3, 13, 23, 41, 43, 53, 73, 149, 151, 157, 167, 191, 229, 269, 293, 373, 521, 557, 569, 607, 691, 701, 829, 853, 863, 887, 947, 991, 1019, 1033, 1039, 1051, 1087, 1091, 1303, 1321, 1367, 1429, 1483, 1493, 1543, 1667, 1697, 1709, 1723, 1733, 1777, 1811, 1831
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OFFSET
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1,1
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COMMENT
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All a(n) belong to A051838[n] = {1,3,8,13,23,38,39,41,43,48,50,53,56,57,...} Sum of first n primes divides product of first n primes.
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MATHEMATICA
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Select[Prime[Range[300]], IntegerQ[Product[Prime[k], {k, 1, #1}]/Sum[Prime[k], {k, 1, #1}]]&]
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CROSSREFS
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Cf. A121755, A051838, A007504, A002110.
Sequence in context: A106099 A017305 A018709 this_sequence A030431 A090146 A133313
Adjacent sequences: A121753 A121754 A121755 this_sequence A121757 A121758 A121759
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 19 2006
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