Word Pronunciation & Dictionary

primorial

/pɹaɪ̯ˈmɔːɹi.əl/

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: pri-mo-ri-al
IPA: /pɹaɪ̯ˈmɔːɹi.əl/

13

Scrabble Score

9

Letters

4

Syllables

7

Unique Chars

Meaning

noun

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

noun

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.

Example Sentences

"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."
"The primorial of 6 is #92;textstyle 6#92;#35;#61;2#92;times 3#92;times 5#61;30."
"2020, Rong Pan, Qinheping Hu, Rishabh Singh, Loris D'Antoni, Solving Problem Sketches with Large Integer Values, Peter Müller (editor), Programming Languages and Systems: 29th European Symposium, Proceedings, Springer, LNCS 12075, page 587, The following number theory result relates the primorial to the Chebyshev function. θ(n)= log (n#)= log 2⁽¹⁺ᵒ⁽ⁿ⁾⁾ⁿ=(1+o(n))n"

Etymology

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

Inflected Forms

primorials (plural)

Phrases

primorial prime

Frequently Paired Words

primorial prime

Synonyms

primorial number

Rhymes With

memorial editorial territorial tutorial gubernatorial pictorial equatorial senatorial dictatorial directorial boreal combinatorial

Questions

How do you pronounce primorial?: The recorded pronunciation is /pɹaɪ̯ˈmɔːɹi.əl/.
What does primorial mean?: Any number belonging to the integer sequence whose nth element is the product of the first n primes.
Where does primorial come from?: Blend of prime + factorial. Coined by American engineer and mathematician Harvey Dubner.

How to pronounce primorial

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