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Omni-MATH / Find all quadruples of positive integers (p,q,a,b), where p and q are prime numbers and a>1, such that p^(a)=1+5q^(b).

Problem

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problem

Find all quadruples of positive integers (p,q,a,b)(p, q, a, b), where pp and qq are prime numbers and a>1a > 1, such that pa=1+5qb.p^a = 1 + 5q^b.
Plain-text mathematical notation (without MathML)
Find all quadruples of positive integers (p,q,a,b), where p and q are prime numbers and a>1, such that p^(a)=1+5q^(b).
Original LaTeX notation
Find all quadruples of positive integers $(p, q, a, b)$, where $p$ and $q$ are prime numbers and $a > 1$, such that $$p^a = 1 + 5q^b.$$

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Source and history

task_id
34acf4a8-2c06-520d-9892-3d0a1d4b9a1c
task_key
test--34acf4a8-2c06-520d-9892-3d0a1d4b9a1c
task_revision_id
1
config / split
/ test

Official source

initial import