Prime Curios!: 42

42
(another Prime Pages' Curiosity)

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42^2 is the smallest perfect square that is the mean of cubed twin primes. Curiosly, the difference of the twin prime cubed and the mean of the cubed twin primes is again a prime: 42^2 = 11^3 + 433 = 13^3 - 433. [Vrba]

Submitted: 2007-02-03 23:02:06; Last Modified: 2011-03-22 05:46:24.