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Prime Possibility Poser (Posted on 2022-11-10) Difficulty: 4 of 5
Determine, with proof, all possible values of a prime number p such that the expression given below is equal to a prime number.
  • 2p6 - 234705

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Observation without proof | Comment 1 of 2
The smallest p for which the expression is positive is 7.
When p = 7, the expression evaluates to 593 which is prime.

I have not found any other solutions testing up to 10,000,000

Edited on November 10, 2022, 7:44 am
  Posted by Larry on 2022-11-10 07:43:32

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