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Search: id:A141831
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| 7, 19, 23, 31, 43, 47, 53, 67, 73, 79, 83, 89, 103, 113, 127, 131, 139, 151, 157, 163, 167, 173, 181, 199, 211, 223, 233, 241, 251, 257, 263, 271, 283, 293, 307, 317, 331, 337, 353, 359, 367, 373, 379, 383, 389, 401, 409, 421, 433, 439, 443, 449, 463, 467, 479
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This sequence gives the primes p where not every positive integer k <= q-p divides p-1, where q is the prime immediately after p.
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MAPLE
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isA141831 := proc(p) local q, d ; if isprime(p) then q := nextprime(p) ; for d from 1 to q-p do if (p+d-1) mod d <> 0 then RETURN(true) ; fi; od: RETURN(false) ; else false; fi; end: for i from 1 to 300 do p := ithprime(i) ; if isA141831(p) then printf("%d, ", p) ; fi; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2008]
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MATHEMATICA
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fQ[n_] := Block[{p = n, q = NextPrime@ n}, Union[IntegerQ /@ (Range[p, q - 1]/Range[q - p])][[1]]]; Select[ Prime@ Range@ 92, !fQ@ # &] (* RGWv *)
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CROSSREFS
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Cf. A141829, A141830.
Sequence in context: A082422 A129812 A032680 this_sequence A065749 A032642 A127633
Adjacent sequences: A141828 A141829 A141830 this_sequence A141832 A141833 A141834
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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 09 2008
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EXTENSIONS
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Extended beyond 53 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2008
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