perplexus.info :: Just Math : A peculiar triplet

A peculiar triplet (Posted on 2016-11-01)

This triplet of positive integers has this peculiarity:
A product of any its two numbers divided by the 3rd number
has 1 as a remainder.

Find it.
Show that no other exist.

Submitted by Ady TZIDON

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Solution: (Hide)

2,3 & 5
see ken's detailed proof no other triplet exists.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): hint: how to prove it My cue - just continue	Ady TZIDON	2016-11-04 08:51:22
re: hint: how to prove it My cue - just continue	ken	2016-11-03 22:28:54
hint: how to prove it My cue - just continue	Ady TZIDON	2016-11-02 14:55:51
re(3): The triple without complete proof	Ady TZIDON	2016-11-01 16:16:12
re(2): The triple without complete proof	Charlie	2016-11-01 13:42:44
re: The triple without complete proof	Charlie	2016-11-01 13:40:17
The triple without complete proof	Jer	2016-11-01 13:27:52

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