# 8539

This number is a prime.

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8539 is the smallest prime number p with this property: the sum of all primes up to p is divisible by each of the first five primes. That is, 2 + 3 + 5 + ... + 8539 (= 4218060) is divisible by 2, 3, 5, 7, and 11. The next three primes of this kind are 26407, 87509, and 92347. [Keith]

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