Bonse'S Inequality

(Theory)

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What is Bonse's inequality?

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 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)

Technology Types

definite quantitydifferenceinequalitymathematical theoremprimeprime numberpropositionqualitystatementtheoremtheorems about prime numbertheory

Translations

Bonses olikhet (sv)Bonsesche Ungleichung (de)Bonse不等式 (zh)Desigualtat de Bonse (ca)Disuguaglianza di Bonse (it)Inégalité de Bonse (fr)Nierówność Bonsego (pl)Нерівність Бонсе (uk)

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