perplexus.info :: Just Math : Prime and power poser

Prime and power poser (Posted on 2011-10-09)

(i) Determine all possible prime(s) M such that 2*M + 1 is a perfect cube.

(II) Determine all possible prime(s) M such that 16*M + 1 is a perfect fourth power.

No Solution Yet Submitted by K Sengupta

Rating: 3.0000 (2 votes)

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possible answer

| Comment 1 of 3

Of the first 1000 primes only one prime each fits the requirements:
( i) M=13 ::: 2*13+1 = 27 = 3³
(ii) M= 5 ::: 16*5+1 = 81 = 3⁴

Posted by Dej Mar on 2011-10-09 14:10:43

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