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- Cyclic_number_(group_theory) abstract "A cyclic number is a natural number n such that n and φ(n) are coprime. Here φ is Euler's totient function. An equivalent definition is that a number n is cyclic iff any group of order n is cyclic.Any prime number is clearly cyclic. All cyclic numbers are square-free.Let n = p1 p2 … pk where the pi are distinct primes, then φ(n) = (p1 − 1)(p2 − 1)...(pk – 1). If no pi divides any (pj – 1), then n and φ(n) have no common (prime) divisor, and n is cyclic.The first cyclic numbers are 1, 2, 3, 5, 7, 11, 13, 15, 17, 19, 23, 29, 31, 33, 35, ... (sequence A003277 in OEIS).".
- Cyclic_number_(group_theory) wikiPageID "30495448".
- Cyclic_number_(group_theory) wikiPageLength "1385".
- Cyclic_number_(group_theory) wikiPageOutDegree "10".
- Cyclic_number_(group_theory) wikiPageRevisionID "611961830".
- Cyclic_number_(group_theory) wikiPageWikiLink Category:Number_theory.
- Cyclic_number_(group_theory) wikiPageWikiLink Coprime.
- Cyclic_number_(group_theory) wikiPageWikiLink Coprime_integers.
- Cyclic_number_(group_theory) wikiPageWikiLink Cyclic_group.
- Cyclic_number_(group_theory) wikiPageWikiLink Eulers_totient_function.
- Cyclic_number_(group_theory) wikiPageWikiLink Group_(mathematics).
- Cyclic_number_(group_theory) wikiPageWikiLink If_and_only_if.
- Cyclic_number_(group_theory) wikiPageWikiLink Iff.
- Cyclic_number_(group_theory) wikiPageWikiLink Natural_number.
- Cyclic_number_(group_theory) wikiPageWikiLink Order_(group_theory).
- Cyclic_number_(group_theory) wikiPageWikiLink Prime_number.
- Cyclic_number_(group_theory) wikiPageWikiLink Square-free_integer.
- Cyclic_number_(group_theory) wikiPageWikiLinkText "Cyclic number (group theory)".
- Cyclic_number_(group_theory) wikiPageWikiLinkText "cyclic number".
- Cyclic_number_(group_theory) wikiPageWikiLinkText "cyclic".
- Cyclic_number_(group_theory) hasPhotoCollection Cyclic_number_(group_theory).
- Cyclic_number_(group_theory) wikiPageUsesTemplate Template:OEIS.
- Cyclic_number_(group_theory) wikiPageUsesTemplate Template:Reflist.
- Cyclic_number_(group_theory) subject Category:Number_theory.
- Cyclic_number_(group_theory) hypernym Number.
- Cyclic_number_(group_theory) comment "A cyclic number is a natural number n such that n and φ(n) are coprime. Here φ is Euler's totient function. An equivalent definition is that a number n is cyclic iff any group of order n is cyclic.Any prime number is clearly cyclic. All cyclic numbers are square-free.Let n = p1 p2 … pk where the pi are distinct primes, then φ(n) = (p1 − 1)(p2 − 1)...(pk – 1).".
- Cyclic_number_(group_theory) label "Cyclic number (group theory)".
- Cyclic_number_(group_theory) sameAs m.0g9xgj_.
- Cyclic_number_(group_theory) sameAs Q5198222.
- Cyclic_number_(group_theory) sameAs Q5198222.
- Cyclic_number_(group_theory) wasDerivedFrom Cyclic_number_(group_theory)?oldid=611961830.
- Cyclic_number_(group_theory) isPrimaryTopicOf Cyclic_number_(group_theory).