A071062 Minimal set of prime-strings in base 10.

2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949, 9001, 9049, 9649, 9949, 60649, 666649, 946669, 60000049, 66000049, 66600049

Offset

1,1

Comments

Any prime number contains in its digits at least one of the terms of this sequence and there is no smaller set. There are 26 terms in the sequence.

Links

Table of n, a(n) for n=1..26.

Ioulia N. Baoulina, Martin Kreh, and Jörn Steuding, Deleting digits, arXiv:1607.01548 [math.NT], 2016.

David Butler, 65536, Making Your Own Sense blog, June 2017.

C. K. Caldwell, The Prime Glossary, minimal prime

J.-P. Delahaye, Nombres premiers inévitables et pyramidaux, Pour la science, (French edition of Scientific American), Juin 2002, p. 99.

Ernest G. Hibbs, Component Interactions of the Prime Numbers, Ph. D. Thesis, Capitol Technology Univ. (2022), see p. 33.

J. Shallit, Minimal primes, pdf, J. Recreational Mathematics, vol. 30.2, pp. 113-117, 1999-2000.

Crossrefs

Cf. A071070, A071071, A071072, A071073.

Sequence in context: A092728 A089769 A033274 * A320725 A320771 A002231

Adjacent sequences: A071059 A071060 A071061 * A071063 A071064 A071065

Keyword

fini,full,nice,nonn,base

Author

Benoit Cloitre, May 26 2002

Extensions

Typo corrected by T. D. Noe, Nov 15 2006

Typo corrected by Walter Kehowski, Feb 22 2007

Status

approved