Lcm(344,559) 331 and pg primes
 

Pg(215), pg(69660),pg(92020) pg(541456) are prp with 215, 69660, 92020 and 541456 multiple of 43.

215, 69660, 92020, 541456 are plus/minus 344 mod 559

lcm(344,559)=4472

4472=8*331+456*4

Pg(331259) is prp

331259=331+(8*331+456*4)*s with some integer s

And 331259 leaves the same remainder 331 mod 344 and mod 559

215, 69660, 92020, 541456 are 10^m mod 41 multiple of 43 and congruent to (41*(10^2+1)+331)/13 mod (41*(10^2+1)+331)/8