Thursday, 4 August 2016

elementary number theory - Three consecutive integers which are power of prime but not prime



Does there exist three consecutive positive integers such that each of them is the power of a prime i.e., is there exist nN, such that n=pi, n+1=qj and n+2=rk, where p, q and r are primes and i,j,k>1.


Answer



No. Catalan conjecture...................


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