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Old 2020-06-17, 10:45   #2
enzocreti
 
Mar 2018

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Default Pg(92020) pg(69660) and pg(541456)

Pg(92020) pg(69660) and pg(541456) are primes
92020 541456 69660 are 10^m mod 41 and multiple of 43

541456 is multiple of 787

92020 and 69660 are congruent to 10^s mod (787+456*r) for some nonnegative integer s and r

So 92020 and 69660 are congruent to 10^s modulo a prime of the form 787+456*r

92020 is infact congruent to 10 mod 3067 which is a prime of the form 787+456*r
69660 is congruent to 10^0 mod 1699 which is a prime of the form 787+456*r

I think that the prime 331 is involved in some way in these primes. Infact 787=331+456

I note that pg(331259) is also prime...

69660 is congruent to 516 mod (67*3*43)
516=163+456*2-559

92020 and 541456 are congruent to 559*10 mod (67*43*3)


Pg(331259) is probable prime. 331259 is prime and congruent to 23 mod 108. (331259-23)/108=3067 which is the above prime of the form 331+456k
Mod note: Thread moved to here from Blogorrhea

Astounding fact: pg(92020) is probable prime

Pg(92020+239239=331259) is probable prime

92020 and 331259 are congruent to 5 mod 239

Last fiddled with by enzocreti on 2020-06-18 at 18:17
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