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A217372 Initial prime in the first Ormiston n-tuple. 1

%I #17 Jun 13 2014 19:22:08

%S 2,1913,11117123,6607882123,20847942560791

%N Initial prime in the first Ormiston n-tuple.

%C An Ormiston n-tuple is n consecutive primes containing the same decimal digits in different order. a(5) found by Giovanni Resta. a(6) may be 166389896360719.

%H Jens Kruse Andersen, <a href="http://primerecords.dk/ormiston_tuples.htm">Ormiston Tuples</a>

%H A. Edwards, <a href="http://www.aamt.edu.au/content/download/742/19588/file/amt-s.pdf">Ormiston Pairs</a>, Australian Mathematics Teacher, Vol. 58, No. 2 (2002), pp 12-13.

%H E. W. Weisstein, <a href="http://mathworld.wolfram.com/RearrangementPrimePair.html">Rearrangement Prime Pair</a> at MathWorld.Wolfram.com.

%e (1913, 1931) is the first case of two consecutive primes with the same digits. The first 3-, 4- and 5-tuples are: (11117123, 11117213, 11117321), (6607882123, 6607882213, 6607882231, 6607882321), (20847942560791, 20847942560917, 20847942560971, 20847942561079, 20847942561097).

%Y Cf. A069567 (Ormiston pairs), A075093 (triples), A161160 (quadruples), A217797 (5-tuples)

%K nonn,base,hard

%O 1,1

%A _Jens Kruse Andersen_, Oct 20 2012

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Last modified August 31 05:08 EDT 2024. Contains 375550 sequences. (Running on oeis4.)