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2^p + 3^p=a^n Italian TST problem

Source: Italy TST 1999

February 1, 2011
modular arithmeticnumber theory proposednumber theory

Problem Statement

Prove that for any prime number pp the equation 2p+3p=an2^p+3^p=a^n has no solution (a,n)(a,n) in integers greater than 11.
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