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- Minimal_prime_(recreational_mathematics) abstract "In recreational number theory, a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form a prime. In base 10 there are exactly 26 minimal primes: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 (sequence A071062 in OEIS).For example, 409 is a minimal prime because there is no prime among the shorter subsequences of the digits: 4, 0, 9, 40, 49, 09. The subsequence does not have to consist of consecutive digits, so 109 is not a minimal prime (because 19 is prime). But it does have to be in the same order; so, for example, 991 is still a minimal prime even though a subset of the digits can form the shorter prime 19 by changing the order.Similarly, there are exactly 32 composite numbers which have no shorter composite subsequence:4, 6, 8, 9, 10, 12, 15, 20, 21, 22, 25, 27, 30, 32, 33, 35, 50, 51, 52, 55, 57, 70, 72, 75, 77, 111, 117, 171, 371, 711, 713, 731 (sequence A071070 in OEIS).".
- Minimal_prime_(recreational_mathematics) wikiPageExternalLink page.php?sort=MinimalPrime.
- Minimal_prime_(recreational_mathematics) wikiPageExternalLink minimal5.ps.
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- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Category:Base-dependent_integer_sequences.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Category:Classes_of_prime_numbers.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Composite_number.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Journal_of_Recreational_Mathematics.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Number_theory.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Prime_Pages.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Prime_number.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Recreational_mathematics.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLink Subsequence.
- Minimal_prime_(recreational_mathematics) wikiPageWikiLinkText "Minimal prime (recreational mathematics)".
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- Minimal_prime_(recreational_mathematics) subject Category:Base-dependent_integer_sequences.
- Minimal_prime_(recreational_mathematics) subject Category:Classes_of_prime_numbers.
- Minimal_prime_(recreational_mathematics) hypernym Number.
- Minimal_prime_(recreational_mathematics) comment "In recreational number theory, a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form a prime.".
- Minimal_prime_(recreational_mathematics) label "Minimal prime (recreational mathematics)".
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- Minimal_prime_(recreational_mathematics) sameAs Q6865333.
- Minimal_prime_(recreational_mathematics) sameAs Q6865333.
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