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A071062 Minimal set of prime-strings in base 10. +0
12
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 (list; graph; listen)
OFFSET

1,1

COMMENT

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

REFERENCES

J.-P. Delahaye, "Pour la science", (French edition of Scientific American), Juin 2002, p. 99.

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

LINKS

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

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

CROSSREFS

Cf. A071070, A071071, A071072, A071073.

Sequence in context: A118985 A089769 A033274 this_sequence A002231 A087769 A084736

Adjacent sequences: A071059 A071060 A071061 this_sequence A071063 A071064 A071065

KEYWORD

fini,full,nice,nonn,base

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 26 2002

EXTENSIONS

Typo corrected by T. D. Noe (noe(AT)sspectra.com), Nov 15 2006

Typo corrected by Walter A. Kehowski (wkehowski(AT)cox.net), Feb 22 2007

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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