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GQQ Primality Test

A fast and deterministic primality test.

Time complexity:O(ln n)^{2}.

Two 1s=11 are prime, eleven 1s=11111111111 are composite,and nineteen 1s are prime. one 12 and 1=121 are composite, three 12 and 1 are prime, five 12 and 1 are prime and seven 12 and 1?