Prime Curios!: 8621

8621
(another Prime Pages' Curiosity)

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This is one of only 2 four-digit composite numbers which, when used as "K" in Leonhard Euler's formula for generating many primes (X^2)+X+K, in which Euler originally used K=41, yields more primes than composites for the first 1,000 integer values of X. Note that the only other 4-digit composite number to yield 50+% primes in Euler's formula is 6887. [Morse]

Submitted: 2002-05-23 23:35:20; Last Modified: 2008-02-27 15:35:35.