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Perfect Square To Divisibility By 56 (Posted on 2010-04-01) Difficulty: 4 of 5
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
re: my badbroll2010-04-06 15:32:36
re: Does this explain why 7 is a factor of n?Jer2010-04-06 10:18:02
Some ThoughtsDoes this explain why 7 is a factor of n?broll2010-04-04 04:09:42
SolutionSolution (Spoiler)Harry2010-04-04 00:18:59
Some Thoughtsre: Modular arithmeticHarry2010-04-03 21:23:59
re: Modular arithmeticSteve Herman2010-04-03 14:49:34
Hints/TipsModular arithmeticBrian Smith2010-04-02 23:05:04
re: A start + a stepAdy TZIDON2010-04-02 04:26:48
re: Now, four valuesCharlie2010-04-01 23:07:13
Some ThoughtsNow, four valuesBrian Smith2010-04-01 20:55:46
Once more into the fray...ed bottemiller2010-04-01 16:06:15
Some ThoughtsA startJer2010-04-01 15:26:23
Nem Coned bottemiller2010-04-01 13:27:16
Some Thoughtsstarting with one sampleAdy TZIDON2010-04-01 11:41:27
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