perplexus.info :: Numbers : Smallest Prime Settlement

Smallest Prime Settlement (Posted on 2022-08-14)

Determine the minimum value of a prime number p such that there are positive integers x and y satisfying this equation:

         x² + p³ = y⁴

*** As an extra challenge only, solve this puzzle without using a computer program/spreadsheet aided method.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: Possible Solution

Comment 3 of 3 |

(In reply to Possible Solution by broll)

p=1 is invalid as 1 is NOT a prime number.

Posted by K Sengupta on 2022-09-23 18:40:56

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