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Checking the quantity (Posted on 2023-09-23) Difficulty: 3 of 5

p^a+q^b=r^c

How many distinct solutions of the equation above are there, subject to the following constraints:

p, q, & r distinct primes
a, b, & c distinct positive integers,
each more than one
None of the powers exceeds 1111.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: Know thy conjecturesAdy TZIDON2023-09-25 05:36:34
Colloquial ambiguityLarry2023-09-24 08:06:00
Know thy conjecturesbroll2023-09-24 07:31:37
re(2): Puzzle AnswerCharlie2023-09-24 07:27:17
re: Puzzle AnswerLarry2023-09-23 21:42:01
Some ThoughtsPuzzle AnswerK Sengupta2023-09-23 21:02:27
Some Thoughtsmy computer findingsCharlie2023-09-23 20:05:21
Some ThoughtsComputer solution for smaller numbersLarry2023-09-23 17:55:06
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