59
This number is a prime.
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For consecutive primes 29 and 31, 29*31 (mod 29+31) = 59 and 31*37 (mod 31+37) = 59, which is the first time the remainder appears consecutively. Can it appear more than twice for three other consecutive primes? [Bergot]
(There is one curio for this number that has not yet been approved by an editor.)
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