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- Sphenic_number abstract "In number theory, a sphenic number (from Ancient Greek: σφήνα, 'wedge') is a positive integer that is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All sphenic numbers have exactly eight divisors. If we express the sphenic number as , where p, q, and r are distinct primes, then the set of divisors of n will be:All sphenic numbers are by definition squarefree, because the prime factors must be distinct.The Möbius function of any sphenic number is −1.The cyclotomic polynomials , taken over all sphenic numbers n, may contain arbitrarily large coefficients (for n a product of two primes the coefficients are or 0).The first few sphenic numbers are: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, 138, 154, 165, ... (sequence A007304 in OEIS)As of February 2013 the largest known sphenic number is (257,885,161 − 1) × (243,112,609 − 1) × (242,643,801 − 1), i.e., the product of the three largest known primes.".
- Sphenic_number wikiPageExternalLink page.php?id=3.
- Sphenic_number wikiPageID "245203".
- Sphenic_number wikiPageRevisionID "589150050".
- Sphenic_number hasPhotoCollection Sphenic_number.
- Sphenic_number subject Category:Integer_sequences.
- Sphenic_number subject Category:Prime_numbers.
- Sphenic_number type Abstraction100002137.
- Sphenic_number type Arrangement107938773.
- Sphenic_number type DefiniteQuantity113576101.
- Sphenic_number type Group100031264.
- Sphenic_number type IntegerSequences.
- Sphenic_number type Measure100033615.
- Sphenic_number type Number113582013.
- Sphenic_number type Ordering108456993.
- Sphenic_number type Prime113594005.
- Sphenic_number type PrimeNumber113594302.
- Sphenic_number type PrimeNumbers.
- Sphenic_number type Sequence108459252.
- Sphenic_number type Series108457976.
- Sphenic_number comment "In number theory, a sphenic number (from Ancient Greek: σφήνα, 'wedge') is a positive integer that is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All sphenic numbers have exactly eight divisors.".
- Sphenic_number label "Liczby sfeniczne".
- Sphenic_number label "Nombre sphénique".
- Sphenic_number label "Numero sfenico".
- Sphenic_number label "Número esfénico".
- Sphenic_number label "Número esfênico".
- Sphenic_number label "Sphenic number".
- Sphenic_number label "Sphenisch getal".
- Sphenic_number label "Sphenische Zahl".
- Sphenic_number label "Сфеническое число".
- Sphenic_number label "楔形数".
- Sphenic_number label "楔数".
- Sphenic_number sameAs Sphenische_Zahl.
- Sphenic_number sameAs Número_esfénico.
- Sphenic_number sameAs Nombre_sphénique.
- Sphenic_number sameAs Numero_sfenico.
- Sphenic_number sameAs 楔数.
- Sphenic_number sameAs Sphenisch_getal.
- Sphenic_number sameAs Liczby_sfeniczne.
- Sphenic_number sameAs Número_esfênico.
- Sphenic_number sameAs m.01khr4.
- Sphenic_number sameAs Q638185.
- Sphenic_number sameAs Q638185.
- Sphenic_number sameAs Sphenic_number.
- Sphenic_number wasDerivedFrom Sphenic_number?oldid=589150050.
- Sphenic_number isPrimaryTopicOf Sphenic_number.