Meaning of primorial | Babel Free

Definitions

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.

Examples

“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”

CEFR level