In number theory, Bonse's inequality, named after H. Bonse, relates the size of a primorial to the smallest prime that does not appear in its prime factorization. It states that for all n ≥ 4 {\displaystyle n\geq 4} , if p 1 , … , p n , p n + 1 {\displaystyle p_{1},\dots ,p_{n},p_{n+1}} are the first n + 1 {\displaystyle n+1} prime numbers, then p n # = ∏ i = 1 n p i > p n + 1 2 .
In number theory, Bonse's inequality, named after H. Bonse, relates the size of a primorial to the smallest prime that does not appear in its prime factorization. It states that for all n ≥ 4 {\displaystyle n\geq 4} , if p 1 , … , p n , p n + 1 {\displaystyle p_{1},\dots ,p_{n},p_{n+1}} are the first n + 1 {\displaystyle n+1} prime numbers, then p n # = ∏ i = 1 n p i > p n + 1 2 .
Source: Wikipedia "Bonse's inequality" · CC BY-SA 4.0
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