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Perpetual Primes Production? (Posted on 2006-11-29) Difficulty: 3 of 5
Pick a positive integer to start a sequence. Now double it, and add one to the result: this is the second number of your sequence. Double that number, and add one, and that will be your third number; repeat the doubling and adding, and you will have a fourth number, and so on.

If you start with a prime number, and you keep doubling and adding one, is it possible to produce a sequence with only prime numbers?

See The Solution Submitted by Old Original Oskar!    
Rating: 4.0000 (2 votes)

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Some Thoughts re: I would take that bet | Comment 10 of 12 |
(In reply to I would take that bet by Gamer)

I only considered prime "p" values, and Fermat's theorem also has to do with primes... 
  Posted by Federico Kereki on 2006-11-29 21:50:30

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