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dividing a prime number by 30 or 60

Source: 1962-63 Germany R4 12.1

October 12, 2024
number theoryremainderDivide

Problem Statement

a) Prove that when you divide any prime number by 3030, the remainder is either 11 or is a prime number! b) Does this also apply when dividing a prime number by 6060? Justify your answer!