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Product of first m primes

Source: European Mathematical Cup 2013, Junior Division, P1

July 3, 2014
number theory proposednumber theory

Problem Statement

For māˆˆNm\in \mathbb{N} define m?m? be the product of first mm primes. Determine if there exists positive integers m,nm,n with the following property : m?=n(n+1)(n+2)(n+3) m?=n(n+1)(n+2)(n+3)
Proposed by Matko Ljulj
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