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Search: id:A075715
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| A075715 |
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Numbers n such that 1+n+n^s is a prime, s=16. |
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3
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| 1, 2, 21, 26, 47, 65, 99, 102, 206, 215, 216, 257, 294, 342, 437, 441, 537, 540, 702, 747, 837, 860, 909, 912, 921, 926, 942, 1020, 1071, 1101, 1112, 1125, 1181, 1254, 1266, 1322, 1344, 1364, 1370, 1406, 1422, 1665, 1814, 1821, 1829, 1905, 2024
(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=16 and find several first n's making n_s a prime (or a probable prime).
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EXAMPLE
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2 is OK because at s=16, n=2, n_s=1+n+n^s=65539 is a prime.
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PROGRAM
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(PARI) for(n=1, 3000, if(isprime(1+n+n^16), print1(n", ")))
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CROSSREFS
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Cf. A002384, A075714, A075716.
Sequence in context: A135053 A042565 A079907 this_sequence A071761 A101316 A006920
Adjacent sequences: A075712 A075713 A075714 this_sequence A075716 A075717 A075718
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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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EXTENSIONS
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More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 19 2003
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