perplexus.info :: Just Math : Perfect Square To Divisibility By 56

Perfect Square To Divisibility By 56 (Posted on 2010-04-01)

N is a positive integer such that each of 3*N + 1 and 4*N + 1 is a perfect square.

Is N always divisible by 56?

If so, prove it. Otherwise, give a counterexample.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (1 votes)

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

Subject	Author	Date
10 years later...	broll	2022-05-17 05:47:38
re: my bad	broll	2010-04-06 15:32:36
re: Does this explain why 7 is a factor of n?	Jer	2010-04-06 10:18:02
Does this explain why 7 is a factor of n?	broll	2010-04-04 04:09:42
Solution (Spoiler)	Harry	2010-04-04 00:18:59
re: Modular arithmetic	Harry	2010-04-03 21:23:59
re: Modular arithmetic	Steve Herman	2010-04-03 14:49:34
Modular arithmetic	Brian Smith	2010-04-02 23:05:04
re: A start + a step	Ady TZIDON	2010-04-02 04:26:48
re: Now, four values	Charlie	2010-04-01 23:07:13
Now, four values	Brian Smith	2010-04-01 20:55:46
Once more into the fray...	ed bottemiller	2010-04-01 16:06:15
A start	Jer	2010-04-01 15:26:23
Nem Con	ed bottemiller	2010-04-01 13:27:16
starting with one sample	Ady TZIDON	2010-04-01 11:41:27

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