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(just those submitted by Jevtic)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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Kristen Eller ©2002
+ Polynomial equation (x^2+3)(x^3+2)=0 does not have integral solutions although is has a solution in Z/pZ for every prime p. [Jevtic]

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