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Omni-MATH / Find any quadruple of positive integers (a,b,c,d) satisfying a³+b⁴+c⁵=d¹¹ and abc<10⁵.

Problem

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problem

Find any quadruple of positive integers (a,b,c,d)(a, b, c, d) satisfying a3+b4+c5=d11a^{3}+b^{4}+c^{5}=d^{11} and abc<105a b c<10^{5}.
Plain-text mathematical notation (without MathML)
Find any quadruple of positive integers (a,b,c,d) satisfying a³+b⁴+c⁵=d¹¹ and abc<10⁵.
Original LaTeX notation
Find any quadruple of positive integers $(a, b, c, d)$ satisfying $a^{3}+b^{4}+c^{5}=d^{11}$ and $a b c<10^{5}$.

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Source and history

task_id
6796fbdf-adaf-57b7-947d-c1d861d8d7bd
task_key
test--6796fbdf-adaf-57b7-947d-c1d861d8d7bd
task_revision_id
1
config / split
/ test

Official source

initial import