The book is now available! 9931
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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The larger prime of any twin prime pair can be expressed as P + 2n^2, where P is any prime. Having checked up to 9931, all twin primes up to 10^5, they can also be expressed as P = 2n^2 - Q, where P is the larger of any twin prime pair and Q is the larger of another twin prime. Can you find a counterexample to this? [Homewood]


  Submitted: 2018-04-15 07:24:49;   Last Modified: 2018-04-15 09:13:57.

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