primorial

Plural: primorials

Noun

• Any number belonging to the integer sequence whose nth element is the product of the first n primes.
• 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.

Examples

• The primorial of 6 is #92;textstyle 6#92;#35;#61;2#92;times 3#92;times 5#61;30.

Synonyms

primorial number

Related Words

primorial prime