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Three Power Verification (Posted on 2016-01-20) Difficulty: 3 of 5
M is a positive integer such that 4M + 2M +1 is a prime number.

Can there be any instance where M is not a power of 3?

Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
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Proved in 1978 Comment 4 of 4 |
Took a little searching, but I found this:

Cyclotomic Polynomials and Factorization Theorems
Solomon W. Golomb
The American Mathematical Monthly
Vol. 85, No. 9 (Nov., 1978), pp. 734-737

Golomb specifically calls out this problem in the introduction!

  Posted by Brian Smith on 2016-01-21 11:01:09
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