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- Circular_prime abstract "A circular prime is a prime number with the property that the number generated at each intermediate step when cyclically permuting its (base 10) digits will be prime. For example, 1193 is a circular prime, since 1931, 9311 and 3119 all are also prime. A circular prime with at least two digits can only consist of combinations of the digits 1, 3, 7 or 9, because having 0, 2, 4, 6 or 8 as the last digit makes the number divisible by 2, and having 0 or 5 as the last digit makes it divisible by 5. The complete listing of the smallest representative prime from all known cycles of circular primes (The single-digit primes and repunits are the only members of their respective cycles) is 2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 197, 199, 337, 1193, 3779, 11939, 19937, 193939, 199933, R19, R23, R317, R1031, R49081, R86453, R109297, and R270343, where Rn is a repunit prime with n digits. There are no other circular primes up to 1023. A type of prime related to the circular primes are the permutable primes, which are a subset of the circular primes (every permutable prime is also a circular prime, but not necessarily vice versa).".
- Circular_prime thumbnail 19937_cyclic_permutations.png?width=300.
- Circular_prime wikiPageExternalLink circular.htm.
- Circular_prime wikiPageExternalLink A068652.
- Circular_prime wikiPageExternalLink CircularPrime.html.
- Circular_prime wikiPageExternalLink circular-primes.html.
- Circular_prime wikiPageID "28148660".
- Circular_prime wikiPageLength "4428".
- Circular_prime wikiPageOutDegree "11".
- Circular_prime wikiPageRevisionID "701796107".
- Circular_prime wikiPageWikiLink Binary_number.
- Circular_prime wikiPageWikiLink Category:Base-dependent_integer_sequences.
- Circular_prime wikiPageWikiLink Category:Classes_of_prime_numbers.
- Circular_prime wikiPageWikiLink Circle.
- Circular_prime wikiPageWikiLink Duodecimal.
- Circular_prime wikiPageWikiLink Mersenne_prime.
- Circular_prime wikiPageWikiLink Parity_(mathematics).
- Circular_prime wikiPageWikiLink Permutable_prime.
- Circular_prime wikiPageWikiLink Prime_number.
- Circular_prime wikiPageWikiLink Repunit.
- Circular_prime wikiPageWikiLinkText "Circular prime".
- Circular_prime author "Darling, D. J.".
- Circular_prime caption "The numbers generated by cyclically permuting the digits of 19937. The first digit is removed and readded at the right side of the remaining string of digits. This process is repeated until the starting number is reached again. Since all intermediate numbers generated by this process are prime, 19937 is a circular prime.".
- Circular_prime firstTerms "9223372036854775807".
- Circular_prime imageSize "100".
- Circular_prime largestKnownTerm "/9".
- Circular_prime namedAfter Circle.
- Circular_prime oeis "A016114".
- Circular_prime publicationYear "2004".
- Circular_prime termsNumber "27".
- Circular_prime wikiPageUsesTemplate Template:Infobox_integer_sequence.
- Circular_prime wikiPageUsesTemplate Template:Numtheory-stub.
- Circular_prime wikiPageUsesTemplate Template:Prime_number_classes.
- Circular_prime wikiPageUsesTemplate Template:Reflist.
- Circular_prime subject Category:Base-dependent_integer_sequences.
- Circular_prime subject Category:Classes_of_prime_numbers.
- Circular_prime hypernym Number.
- Circular_prime type Class.
- Circular_prime comment "A circular prime is a prime number with the property that the number generated at each intermediate step when cyclically permuting its (base 10) digits will be prime. For example, 1193 is a circular prime, since 1931, 9311 and 3119 all are also prime. A circular prime with at least two digits can only consist of combinations of the digits 1, 3, 7 or 9, because having 0, 2, 4, 6 or 8 as the last digit makes the number divisible by 2, and having 0 or 5 as the last digit makes it divisible by 5.".
- Circular_prime label "Circular prime".
- Circular_prime sameAs Q5121674.
- Circular_prime sameAs ראשוני_סיבובי.
- Circular_prime sameAs Primo_circolare.
- Circular_prime sameAs m.0cmbm46.
- Circular_prime sameAs Q5121674.
- Circular_prime wasDerivedFrom Circular_prime?oldid=701796107.
- Circular_prime depiction 19937_cyclic_permutations.png.
- Circular_prime isPrimaryTopicOf Circular_prime.