Suppose , p € Z such that p is prime. If (mod p) = 1 (mod p) find the least positive integer e such that it must be true (for any possible value of a satisfying the congruences above) that x 1 (mod p). 2580 = 1 783 (Hint: consider taking products of 580, x7 or try small examples like x = 2, p = 7.) Type your answer...

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