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Some Linear Combination of Prime May Be a Perfect Square (Posted on 2023-06-21) Difficulty: 3 of 5
Consider a positive integer n and a prime number p.

The following conditions are satisfied simultaneously:

  • p divides n3-1
  • n divides p-1
Does 4p-3 always correspond to a perfect square?
  • If not, provide an example.
  • If so, prove it.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsSome analytic progressBrian Smith2023-06-21 13:40:10
Some Thoughtsan answer -- strictly speakingCharlie2023-06-21 12:55:18
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