My Math Forum Conjecture concerning a subset of Sofie-Germain primes

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 August 18th, 2018, 01:32 PM #1 Member   Joined: Jul 2010 Posts: 83 Thanks: 2 Conjecture concerning a subset of Sofie-Germain primes Conjecture: If and only if P(n) and P(n * 2 + 1) are true then n belongs to a subset of Sofie-Germain primes, where P is a boolean function defined as P(m) = { true if 2^((m +1) / 2) = -2 mod m; otherwise false }. Any idea how to disprove such a thing (or even just a counterexample)?
 August 18th, 2018, 02:24 PM #2 Senior Member   Joined: Aug 2012 Posts: 2,082 Thanks: 595 Sophie Germain is the name of a person. No hyphen in the name. https://en.wikipedia.org/wiki/Sophie_Germain Not like Birch-Swinnerton-Dyer, which is two people! Thanks from Sebastian Garth
 August 18th, 2018, 06:24 PM #3 Member   Joined: Jul 2010 Posts: 83 Thanks: 2 Damn! Conjecture is false. First counterexample: 16070429 = 1637 * 9817

 Tags conjecture, primes, sofiegermain, subset

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