Prime Curios!: 719

719
(another Prime Pages' Curiosity)

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A Balog cube is an n-by-n-by ... by-n array of primes, where each line of n primes parallel to any edge is an arithmetic progression. The largest prime in the smallest 3-by-3-by-3 cube is 719.

 47  383  719         149  401  653         251  419  587
179  431  683         173  347  521         167  263  359
311  479  647         197  293  389          83  107  131

[Granville]

Submitted: 2008-05-18 18:35:37; Last Modified: 2009-07-20 05:56:16.