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Search: id:A075720
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| A075720 |
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1+n+n^s is a prime, s=9. |
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+0
3
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| 1, 3, 9, 11, 14, 15, 18, 23, 38, 51, 66, 89, 95, 140, 170, 185, 186, 194, 239, 258, 294, 315, 345, 366, 384, 386, 393, 401, 404, 408, 429, 459, 485, 495, 506, 531, 573, 611, 614, 665, 675, 678, 680, 683, 695, 750, 771, 791, 849, 870, 879, 941, 954, 1016, 1086
(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=9 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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9 is OK because at s=9, n=9, n_s=1+n+n^s=387420499 is a prime.
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CROSSREFS
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Cf. A002384, A075719, A075722.
Sequence in context: A101620 A116444 A065136 this_sequence A106373 A059326 A028312
Adjacent sequences: A075717 A075718 A075719 this_sequence A075721 A075722 A075723
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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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