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Omni-MATH / Determine all quadruplets (x,y,z,t) of positive integers, such that 12^(x)+13^(y)−14^(z)=2013^(t).

Problem

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problem

Determine all quadruplets (x,y,z,tx, y, z, t) of positive integers, such that 12x+13y−14z=2013t12^x + 13^y - 14^z = 2013^t.
Plain-text mathematical notation (without MathML)
Determine all quadruplets (x,y,z,t) of positive integers, such that 12^(x)+13^(y)−14^(z)=2013^(t).
Original LaTeX notation
Determine all quadruplets ($x, y, z, t$) of positive integers, such that $12^x + 13^y - 14^z = 2013^t$.

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Source and history

task_id
bf25d269-b3b0-5804-ab85-186a68beccbb
task_key
test--bf25d269-b3b0-5804-ab85-186a68beccbb
task_revision_id
1
config / split
/ test

Official source

initial import