primorial

名词 n.
中文释义

英文释义

名词 n.
  1. Any number belonging to the integer sequence whose nth element is the product of the first n primes.
    — For example, up to 10⁹, every positive integer which is a multiple of a primorial and is less than the following primorial satisfies the given inequality. There has also been little discussion on which primorials qualify in the different situations when RH fails.
  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.
    — The primorial of 6 is #92;textstyle 6#92;#35;#61;2#92;times 3#92;times 5#61;30.

词形变化

primorials plural

词汇关系

相关词
primorial prime

词源

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