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 A163680 Smaller prime p in Ormiston pairs (p, q) with q - p = 54. 2
 35617, 40639, 359783, 502339, 552917, 580417, 668417, 719839, 807017, 824339, 833117, 861239, 909917, 961339, 987739, 1078417, 1145539, 1168639, 1185017, 1196539, 1220839, 1313239, 1479617, 1497439, 1710439, 1710539, 1732139 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS An Ormiston pair (or rearrangement prime pair) is a pair of consecutive primes that use the same digits in a different order. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 Jens Kruse Andersen, Ormiston Tuples Eric Weisstein's World of Mathematics, Rearrangement Prime Pair EXAMPLE (359783, 359837) is an Ormiston pair with gap 54, so 359783 is in the sequence. MATHEMATICA op54Q[{a_, b_}]:=Sort[IntegerDigits[a]]==Sort[IntegerDigits[b]] && b-a==54; Transpose[Select[Partition[Prime[Range[150000]], 2, 1], op54Q]][[1]] (* Harvey P. Dale, Jun 16 2014 *) PROG (Magma) [ p: p in PrimesUpTo(1750000) | q-p eq 54 and a eq b where a is Sort(Intseq(p)) where b is Sort(Intseq(q)) where q is NextPrime(p) ]; CROSSREFS Subsequence of A069567. Cf. A072274, A163863. Sequence in context: A206673 A205517 A204666 * A172712 A161023 A252920 Adjacent sequences: A163677 A163678 A163679 * A163681 A163682 A163683 KEYWORD nonn,base AUTHOR Klaus Brockhaus, Aug 03 2009 EXTENSIONS Keyword base added by Klaus Brockhaus, Sep 18 2009 STATUS approved

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Last modified November 26 17:10 EST 2022. Contains 358362 sequences. (Running on oeis4.)