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Algebra and Primes (Posted on 2013-12-25) Difficulty: 2 of 5
Find all triples (x, y, z) of positive integers such that x³ + y³ + z³ - 3xyz = p

where p is a prime greater than 3

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 4.0000 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/TipsPARITY et allAdy TZIDON2013-12-25 14:40:51
Charlie's proofSteve Herman2013-12-25 14:19:40
Some Thoughtscomputer exploration (spoiler)Charlie2013-12-25 12:22:06
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