Bonse's inequality

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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, ..., pnpn+1 are the smallest n + 1 prime numbers and n ≥ 4, then

 p_1 \cdots  p_n > p_{n+1}^2. \,

Notes

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References

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