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Omni-MATH / Find all triples (p,x,y) consisting of a prime number p and two positive integers x and y such that x^(p−1)+y and x+y^(p−1) are both powers of p. [i]

Problem

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problem

Find all triples (p,x,y)(p, x, y) consisting of a prime number pp and two positive integers xx and yy such that xp−1+yx^{p -1} + y and x+yp−1x + y^ {p -1} are both powers of pp. [i]
Plain-text mathematical notation (without MathML)
Find all triples (p,x,y) consisting of a prime number p and two positive integers x and y such that x^(p−1)+y and x+y^(p−1) are both powers of p.

[i]
Original LaTeX notation
Find all triples $(p, x, y)$ consisting of a prime number $p$ and two positive integers $x$ and $y$ such that $x^{p -1} + y$ and $x + y^ {p -1}$ are both powers of $p$.

[i]

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Source and history

task_id
85b06170-b0da-5aa3-a90a-78e48eb991b6
task_key
test--85b06170-b0da-5aa3-a90a-78e48eb991b6
task_revision_id
1
config / split
/ test

Official source

initial import