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August 18th, 2018, 01:32 PM  #1 
Member Joined: Jul 2010 Posts: 83 Thanks: 2  Conjecture concerning a subset of SofieGermain primes
Conjecture: If and only if P(n) and P(n * 2 + 1) are true then n belongs to a subset of SofieGermain 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 BirchSwinnertonDyer, which is two people! 
August 18th, 2018, 06:24 PM  #3 
Member Joined: Jul 2010 Posts: 83 Thanks: 2 
Damn! Conjecture is false. First counterexample: 16070429 = 1637 * 9817 

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conjecture, primes, sofiegermain, subset 
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