|
%I #26 Apr 03 2023 10:36:10
%S 2,3,5,7,11,19,41,61,89,409,449,499,881,991,6469,6949,9001,9049,9649,
%T 9949,60649,666649,946669,60000049,66000049,66600049
%N Minimal set of prime-strings in base 10.
%C 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.
%H Ioulia N. Baoulina, Martin Kreh, and Jörn Steuding, <a href="http://arxiv.org/abs/1607.01548">Deleting digits</a>, arXiv:1607.01548 [math.NT], 2016.
%H David Butler, <a href="https://blogs.adelaide.edu.au/maths-learning/2017/06/21/65536/">65536</a>, Making Your Own Sense blog, June 2017.
%H C. K. Caldwell, The Prime Glossary, <a href="https://t5k.org/glossary/page.php?sort=MinimalPrime">minimal prime</a>
%H J.-P. Delahaye, <a href="http://www.pourlascience.fr/ewb_pages/a/article-nombres-premiers-inevitables-et-pyramidaux-24978.php">Nombres premiers inévitables et pyramidaux</a>, Pour la science, (French edition of Scientific American), Juin 2002, p. 99.
%H Ernest G. Hibbs, <a href="https://www.proquest.com/openview/4012f0286b785cd732c78eb0fc6fce80">Component Interactions of the Prime Numbers</a>, Ph. D. Thesis, Capitol Technology Univ. (2022), see p. 33.
%H J. Shallit, <a href="http://www.cs.uwaterloo.ca/~shallit/Papers/minimal5.ps">Minimal primes</a>, <a href="http://www.wiskundemeisjes.nl/wp-content/uploads/2007/02/minimal.pdf">pdf</a>, J. Recreational Mathematics, vol. 30.2, pp. 113-117, 1999-2000.
%Y Cf. A071070, A071071, A071072, A071073.
%K fini,full,nice,nonn,base
%O 1,1
%A _Benoit Cloitre_, May 26 2002
%E Typo corrected by _T. D. Noe_, Nov 15 2006
%E Typo corrected by _Walter Kehowski_, Feb 22 2007
|
