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163
Pg(3371) and pg(51456) are probable primes
3371 is also a prime number 3371 and 51456 mod 163 leave the same residue 111. I don't know if there are other pg(k) such that k mod 163 is 111 3371 and 51456 leave the same residue 8 mod 59 3371+9617n=51456 9617 is 28 mod 43 And 51456 is 28 mod 559 59*163*x is congruent to 1763 mod 559 is X=344 541456-344 is congruent to 0 mod 559 And so also 69660 - 344 92020-344 215+344 pg(215) is probable prime -215 is congruent to 111 mod 163 |
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