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A163678
Smaller prime p in Ormiston pairs (p, q) with q - p = 18.
3
1913, 18379, 19013, 25013, 34613, 35879, 36979, 37379, 37813, 40013, 40213, 45613, 48091, 49279, 51613, 55313, 56179, 56713, 58613, 63079, 63179, 64091, 65479, 66413, 74779, 75913, 76213, 76579, 76679, 85313, 88379, 90379, 90679, 93113
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
Jens Kruse Andersen, Ormiston Tuples
Eric Weisstein's World of Mathematics, Rearrangement Prime Pair
EXAMPLE
(19013, 19031) is an Ormiston pair with gap 18, so 19013 is in the sequence.
MATHEMATICA
Transpose[Select[Select[Partition[Prime[Range[10000]], 2, 1], Last[#] - First[#] == 18 &], Sort[IntegerDigits[First[#]]] == Sort[IntegerDigits[Last[#]]] &]][[1]] (* G. C. Greubel, Aug 02 2017 *)
PROG
(Magma) [ p: p in PrimesUpTo(100000) | q-p eq 18 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.
Sequence in context: A168499 A230083 A069567 * A175517 A163863 A251917
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, Aug 03 2009
EXTENSIONS
Keyword base added by Klaus Brockhaus, Sep 18 2009
STATUS
approved