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Post Closed as "Not suitable for this site" by Will Jagy, GH from MO, Benjamin Dickman, Dave Benson, Max Horn
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GH from MO
GH from MO
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Find four natural numbers such that X*Y*Z=K*Twith a certain property

Can we Findfind four natural numbers X$X$, Y$Y$, Z$Z$, T$T$, greater than 1 and different from each other, so that adding 1 to the product of any three of them, the sum is divisible by the fourth?

Find four natural numbers such that X*Y*Z=K*T

Can we Find four natural numbers X, Y, Z, T, greater than 1 and different from each other, so that adding 1 to the product of any three of them, the sum is divisible by the fourth?

Find four natural numbers with a certain property

Can we find four natural numbers $X$, $Y$, $Z$, $T$, greater than 1 and different from each other, so that adding 1 to the product of any three of them, the sum is divisible by the fourth?

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Andrea Lanzillo
Andrea Lanzillo
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Find four natural numbers such that X*Y*Z=K*T

Can we Find four natural numbers X, Y, Z, T, greater than 1 and different from each other, so that adding 1 to the product of any three of them, the sum is divisible by the fourth?