Pg primes with exponent multiple of 201

enzocreti · 2019-02-06, 09:58

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:

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?

enzocreti · 2019-02-06, 10:14

the same?

2019-02-06, 09:58	#1
enzocreti Mar 2018 1000010010₂ 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, 10:14	#3
enzocreti Mar 2018 1022₈ Posts	THE SAME? the same?

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Is there a way to check a certain exponent for whether or not (2^that exponent) - 1 is a prime?	shubhra	Information & Answers	4	2019-01-03 06:52
Linux and multiple GPU	bgbeuning	GPU Computing	52	2016-06-09 05:26
Using multiple PCs	numbercruncher	Information & Answers	18	2014-04-17 00:17
Help trying to put multiple lines with same exponent in worktodo.ini	donttnod	Factoring	2	2005-01-22 16:53
Multiple systems/multiple CPUs. Best configuration?	BillW	Software	1	2003-01-21 20:11