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A Prime Triplet (Posted on 2012-05-19) Difficulty: 3 of 5
The prime triplet (2, 3, 13) is interesting in that it can produce six primes using a product with a sum or difference:
2 + 3*13 = 41
3 + 2*13 = 29
13 + 2*3 = 19
3*13 - 2 = 37
2*13 - 3 = 23
13 - 2*3 = 7
Prove this is the only such prime triplet.

No Solution Yet Submitted by Brian Smith    
Rating: 4.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Prime solution (?'s) Comment 5 of 5 |
(In reply to re: Prime solution (?'s) by Jer)

c has to be prime. The only prime that is 0 mod 7 is 7. All other 0 mod 7 numbers are divisible by 7.



  Posted by Math Man on 2012-05-20 08:23:12
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