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Search: id:A075723
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| A075723 |
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Numbers n such that 1+n+n^6 is a prime. |
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5
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| 1, 2, 3, 6, 8, 15, 17, 29, 30, 32, 45, 48, 59, 72, 74, 80, 87, 128, 141, 153, 155, 156, 158, 176, 182, 191, 197, 210, 216, 230, 273, 284, 293, 305, 314, 356, 366, 380, 384, 399, 402, 407, 408, 410, 413, 420, 435, 443, 447, 450, 473, 479, 497
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For s = 5,8,11,14,17,20,..., n_s=1+n+n^s is always composite for any n>1. Also at n=1, n_s=3 is a prime for any s. So it is interesting to consider only the cases of s =/= 5,8,11,14,17,20,... and n>1. Here i consider the case s=6 and find several first n's making n_s a prime (or a probable prime).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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EXAMPLE
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15 is OK because at s=6, n=15, n_s=1+n+n^s=11390641 is a prime.
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CROSSREFS
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Cf. A002384, A049407, A049408.
Sequence in context: A106182 A097097 A095162 this_sequence A138137 A129374 A048809
Adjacent sequences: A075720 A075721 A075722 this_sequence A075724 A075725 A075726
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Oct 03 2002
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