In number theory, Bonse's inequality, named after H. Bonse,[1] relates the size of a primorial to the smallest prime that does not appear in its prime factorization.
It states that if p1, ..., pn, pn+1 are the smallest n + 1 prime numbers and n ≥ 4, then (the middle product is short-hand for the primorial
of pn) Mathematician Denis Hanson showed an upper bound where
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