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EXAMPLE
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3! = 3 + 3,
4! = 11 + 13,
5! = 59 + 61,
6! = 353 + 367.
p = 3,11,59,353,2447,20147,181421,1814347,19958353,239500727,3113510341,43589145527,653837183849;
q = 3,13,61,367,2593,20173,181459,1814453,19958447,239500873,3113510459,43589145673,653837184151;
q-p = 0,2,2,14,146,26,38,106,94,146,118,146,302.
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