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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

6 votes
1 answer
309 views

Sequence of Diophantine Equations

Is there some (huge) positive integer $M$ with the following property: for any $z>M$, there exist positive integers $x, y_{1}, y_{2},..., y_{z}$ such that $x^x$ $=$ $y_{1}^{y_{1}}$+ $y_{2}^{y_{2}}$+ . …
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