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/pɹaɪ̯ˈmɔːɹi.əl/ · noun
(number theory) 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.
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
Use primorial when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Primorial means (number theory) Any number belonging to the integer sequence whose nth element is the product of the first n primes..
Common synonyms include primorial number.
The opposite depends on the specific sense.
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.
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