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Omni-MATH / Let p be a prime number. Determine all triples (a,b,c) of positive integers such that a+b+c<2p√(p) and (1)/(a)+(1)/(b)+(1)/(c)=(1)/(p)

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problem

Let pp be a prime number. Determine all triples (a,b,c)(a,b,c) of positive integers such that a+b+c<2ppa + b + c < 2p\sqrt{p} and 1a+1b+1c=1p\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{p}
Plain-text mathematical notation (without MathML)
Let p be a prime number. Determine all triples (a,b,c) of positive integers such that a+b+c<2p√(p) and
(1)/(a)+(1)/(b)+(1)/(c)=(1)/(p)
Original LaTeX notation
Let $p$ be a prime number. Determine all triples $(a,b,c)$ of positive integers such that $a + b + c < 2p\sqrt{p}$ and
$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{p}$

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Source and history

task_id
de4cff75-5995-57d4-9acd-f87298a30433
task_key
test--de4cff75-5995-57d4-9acd-f87298a30433
task_revision_id
1
config / split
/ test

Official source

initial import