[seqfan] a+b+c, a+b-c , a-b+c and -a+b+c all prime

Zak Seidov zakseidov at mail.ru
Thu Feb 2 08:29:16 CET 2017

Consider three distinct integers a,b,c such that all 4 numbers 
a+b+c, a+b-c, a-b+c and -a+b+c 
are positive/negative primes.
E.g., for a=3 and b=4,
c = 12,30,60,270,570,600,1230,1290,1620,2340,2550,3540,4020,4650,5850,6270,6360,6570,....
Is this problem the old hat?
What can be said about c in this particular case?
Zak  Seidov

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