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A prime and a cube (Posted on 2020-07-13) Difficulty: 2 of 5
What prime numbers p exist such that 16p+1 is a perfect cube?

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (3 votes)

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re(2): Just an observation | Comment 3 of 11 |
(In reply to re: Just an observation by Charlie)

When left to run, the program found no more solutions before encountering a number that couldn't be tested for primality: 576976301994202277, presumably because its largest prime factor was beyond UBASIC's set of prime numbers.


It does lead to a strong likelihood that the number found in the first post is the only one.

  Posted by Charlie on 2020-07-13 17:32:39
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