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Search: id:A074267
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| A074267 |
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Primes of form p^n + k, where p is prime, n>1 and 0<k<p. |
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+0
3
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| 5, 11, 17, 29, 53, 83, 127, 131, 173, 179, 181, 257, 293, 347, 349, 367, 373, 379, 541, 547, 853, 857, 859, 863, 967, 971, 977, 983, 991, 1373, 1381, 1399, 1693, 1697, 1699, 1709, 1721, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 2203, 2207, 2213, 2221, 2237
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The representation is not unique: a(7)=127=5^3+2=11^2+5.
A138363(A049084(a(n))) > 0.
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 1..1000
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MATHEMATICA
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lst = {}; Do[q = p^n + k; If[ PrimeQ@p && PrimeQ@q, AppendTo[lst, q]], {p, 2, 50}, {k, p - 1}, {n, 2, Log[p, 3000]}]; Take[ Union@ lst, 49] (* Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 22 2007 *)
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CROSSREFS
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Sequence in context: A067606 A046135 A162336 this_sequence A068072 A136292 A088046
Adjacent sequences: A074264 A074265 A074266 this_sequence A074268 A074269 A074270
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KEYWORD
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nonn,nice
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 20 2002
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