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-   -   Pg primes with exponent multiple of 201 (https://www.mersenneforum.org/showthread.php?t=24055)

enzocreti 2019-02-06 09:58

Pg primes with exponent multiple of 201
 
The pg(k) numbers are formed by the concatenation of two consecutive Mersenne numbers...

pg(k)=(2^k-1)*10^d+2^(k-1)-1 where d is the number of decimal digits of 2^(k-1)-1

example pg(1)=10
pg(2)=31
pg(3)=73...


Consider when k is multiple of 201 and pg(k) is prime.
This happens for k=6231 and k=51456


6231/61 and 51456/61 will have the same 60 digit repeating term 147540...2131.
Why?

axn 2019-02-06 10:03

[QUOTE=enzocreti;507800]6231/61 and 51456/61 will have the same 60 digit repeating term 147540...2131.
Why?[/QUOTE]
What does 1/61 look like?

enzocreti 2019-02-06 10:14

THE SAME?
 
the same?


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