primorial

English dictionary entry

Meanings

noun
  1. Any number belonging to the integer sequence whose nth element is the product of the first n primes.
  2. A unary operation, denoted by the postfix symbol # and defined on the nonnegative integers, which maps 0 to 1, 1 to 1, and each subsequent number to the product of all primes less than or equal to it; the value mapped to by said operation for a given input.

Pronunciation

/pɹaɪ̯ˈmɔːɹi.əl/

Word forms

primorial primorials

Etymology

Blend of prime + factorial. Coined by American engineer and mathematician Harvey Dubner.

Synonyms

primorial number

Related words

Translations

German: Primorial German: Primfakultät Italian: primoriale Turkish: primoriyel
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