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Search: id:A162565
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| A162565 |
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Those primes p where (p-q) divides (p-1), where q is the greatest prime < p. |
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+0
2
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| 3, 5, 7, 13, 17, 19, 31, 37, 41, 43, 61, 67, 73, 79, 97, 101, 103, 109, 113, 127, 139, 151, 157, 163, 181, 191, 193, 197, 199, 229, 233, 241, 251, 271, 277, 281, 283, 313, 317, 337, 349, 353, 373, 379, 401, 409, 421, 431, 433, 439, 457, 461, 463, 523, 541, 547
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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The 17th prime is 59 and the 18th prime is 61. (61-59) = 2, and 2 divides 61-1 = 60. So, 61 is in the sequence.
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MAPLE
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A162565 := proc(n) local p, q; p := ithprime(n) ; q := prevprime(p) ; if (p-1) mod (p-q) = 0 then printf("%d, ", p); fi; end: seq(A162565(n), n=2..200) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009]
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CROSSREFS
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A162566
Sequence in context: A092195 A046066 A045398 this_sequence A155045 A144296 A045399
Adjacent sequences: A162562 A162563 A162564 this_sequence A162566 A162567 A162568
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Jul 06 2009
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EXTENSIONS
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More primes from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009
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