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A075716
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1+n+n^s is a prime, s=15.
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2
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1, 2, 30, 32, 35, 54, 62, 77, 101, 120, 138, 161, 171, 186, 210, 234, 269, 285, 311, 341, 362, 368, 374, 467, 476, 486, 531, 567, 578, 720, 737, 740, 780, 806, 824, 932, 990, 1035, 1037, 1041, 1049, 1067, 1089, 1136, 1137, 1146, 1167, 1202, 1251, 1269
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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=15 and find several first n's making n_s a prime (or a probable prime).
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EXAMPLE
| 2 is OK because at s=15, n=2, n_s=1+n+n^s=32771 is a prime.
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MATHEMATICA
| Select[Range[1500], PrimeQ[1+#+#^15]&] [from Harvey P. Dale, Dec. 13, 2010]
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PROG
| (PARI) for(n=1, 1000, if(isprime(1+n+n^15), print1(n", ")))
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CROSSREFS
| Cf. A002384, A075715, A075717.
Sequence in context: A058988 A078690 A071056 * A022377 A145290 A127026
Adjacent sequences: A075713 A075714 A075715 * A075717 A075718 A075719
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Oct 03 2002
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EXTENSIONS
| More terms from R. Stephan (ralf(AT)ark.in-berlin.de), Apr 05 2003
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