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Search: id:A072162
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| A072162 |
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(Prime(n)+prime(n+1)+prime(n+2))/(n+1) is an integer; sequence gives prime(n). |
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+0
1
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| 2, 3, 13, 173, 769, 1627, 6053, 24281, 18574499, 18574519, 18574657, 136197419, 7348138997, 27788573777, 204475054739, 773853721099
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(17) > 10^12. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 24 2009]
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EXAMPLE
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(13+17+19)/7 is an integer, 13 is the sixth prime so we divide by 7.
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MATHEMATICA
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Prime[ Select[ Range[9*10^7], IntegerQ[(Prime[ # ] + Prime[ # + 1] + Prime[ # + 2])/(# + 1)] & ]]
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CROSSREFS
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Sequence in context: A153888 A068083 A137459 this_sequence A113785 A118323 A113494
Adjacent sequences: A072159 A072160 A072161 this_sequence A072163 A072164 A072165
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 27 2002
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EXTENSIONS
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a(13)-a(16) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 24 2009
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