mersenneforum.org Pg primes with exponent multiple of 201
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 2019-02-06, 09:58 #1 enzocreti   Mar 2018 21216 Posts 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?
2019-02-06, 10:03   #2
axn

Jun 2003

5,197 Posts

Quote:
 Originally Posted by enzocreti 6231/61 and 51456/61 will have the same 60 digit repeating term 147540...2131. Why?
What does 1/61 look like?

Last fiddled with by enzocreti on 2019-02-06 at 10:13

 2019-02-06, 10:14 #3 enzocreti   Mar 2018 2·5·53 Posts THE SAME? the same?

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