719
This number is a prime.
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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
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