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Statements

Subject Item
dbr:Prime_signature
rdf:type
yago:Number113582013 yago:Abstraction100002137 yago:WikicatPrimeNumbers yago:Measure100033615 yago:DefiniteQuantity113576101 yago:Prime113594005 yago:PrimeNumber113594302
rdfs:label
Prime signature
rdfs:comment
In mathematics, the prime signature of a number is the multiset of (nonzero) exponents of its prime factorization. The prime signature of a number having prime factorization is the multiset . For example, all prime numbers have a prime signature of {1}, the squares of primes have a prime signature of {2}, the products of 2 distinct primes have a prime signature of {1, 1} and the products of a square of a prime and a different prime (e.g. 12, 18, 20, ...) have a prime signature of {2, 1}.
dcterms:subject
dbc:Prime_numbers dbc:Number_theory
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dbo:wikiPageRevisionID
1090578854
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dbr:Sphenic_number dbr:Parity_(mathematics) dbr:Square-free_integer dbr:Multiset dbr:Semiprime dbr:Square_(algebra) dbr:Powerful_number dbc:Number_theory dbr:Young's_lattice dbr:Partition_function_(number_theory) dbc:Prime_numbers dbr:Cube-free_integer dbr:Finite_abelian_group dbr:Mathematics dbr:Möbius_function dbr:Square_number dbr:Squarefree_integer dbr:Cube_(algebra) dbr:Greatest_common_divisor dbr:Primorial dbr:Indicator_function dbr:On-Line_Encyclopedia_of_Integer_Sequences dbr:Canonical_representation_of_a_positive_integer dbr:Achilles_number dbr:Prime_factorization dbr:Empty_product dbr:Divisor_function dbr:Prime_number dbr:Almost_prime
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dbo:abstract
In mathematics, the prime signature of a number is the multiset of (nonzero) exponents of its prime factorization. The prime signature of a number having prime factorization is the multiset . For example, all prime numbers have a prime signature of {1}, the squares of primes have a prime signature of {2}, the products of 2 distinct primes have a prime signature of {1, 1} and the products of a square of a prime and a different prime (e.g. 12, 18, 20, ...) have a prime signature of {2, 1}.
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wikipedia-en:Prime_signature