1,1

"The prime repunits are examples of integers which are prime and remain prime after an arbitrary permutation of their decimal digits. Integers with this property are called either 'permutable primes' according to H.-E. Richert, who introduced them some 40 years ago, or 'absolute primes' according to T. N. Bhagava and P. H. Doyle, and A. W. Johnson."

This sequence has no terms with 4, 5 and 6 digits (by exhaustive search). - Sebastien Dumortier (sdumortier(AT)ac-limoges.fr), Jun 16 2005

Depending on the source, permutable or absolute primes are sometimes required to have at least two different digits. This produces the subsequence A129338. - Maximilian F. Hasler (www.univ-ag.fr/~mhasler), Mar 26 2008

T. N. Bhargava and P. H. Doyle, On the existence of absolute primes, Math. Mag., 47 (1974), 233.

A. W. Johnson, Absolute primes, Mathematics Magazine, 1977, vol. 50, pp. 100-103.

Rich Schroeppel (rschroe(AT)sandia.gov), personal communication.

J. P. Delahaye, Persistent Primes, Illustrating Permutable, Circular, Right & Left Truncatable Primes

R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations

W. Schneider, MATHEWS, Circular, Permutable, Truncatable and Deletable Primes

A. Slinko, Absolute Primes

Wikipedia, Permutable prime

C. Caldwell, The prime glossary: Permutable Prime

Includes all of A004023. Cf. A129338.

Adjacent sequences: A003456 A003457 A003458 this_sequence A003460 A003461 A003462

Sequence in context: A107845 A090934 A068652 this_sequence A118725 A117835 A120639

nonn,base,nice

njas

The next terms are R(317), R(1031), R(49081), where R(n) is (10^n-1)/9.

Additional comments from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 18 2000