A217372 Initial prime in the first Ormiston n-tuple.

2, 1913, 11117123, 6607882123, 20847942560791

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..5.

Jens Kruse Andersen, Ormiston Tuples.

Andy Edwards, Ormiston Pairs, Australian Mathematics Teacher, Vol. 58, No. 2 (2002), pp. 12-13.

Eric Weisstein's World of Mathematics, Rearrangement Prime Pair.

Example

(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).

Crossrefs

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

Sequence in context: A329663 A069793 A230082 * A160299 A232963 A238119

Adjacent sequences: A217369 A217370 A217371 * A217373 A217374 A217375

Keyword

nonn,base,hard,more

Author

Jens Kruse Andersen, Oct 20 2012

Status

approved