20230109, 20:09  #606  
Sep 2010
Weston, Ontario
2×7×17 Posts 
Quote:


20230109, 21:32  #607 
Jul 2003
So Cal
101000101000_{2} Posts 
20018^63+63^20018 is also prime.

20230126, 03:57  #608 
Sep 2010
Weston, Ontario
2×7×17 Posts 
It seems that this is the only Leyland PRP with at least one million decimal digits, but fewer than one million one hundred decimal digits.

20230129, 10:15  #609 
Nov 2019
3·7 Posts 
This is not so surprising, since for example there is no Leyland PRP between L(238176,19) and L(65073,48202) [digits 304569 and 304742].

20230129, 19:54  #610 
Sep 2010
Weston, Ontario
2·7·17 Posts 
Since we know that there are 63 Leyland PRPs from digits 300000 to 305000, we can say that, in that range, on average there is one PRP every 80 digitlengths. I had guessed that in the greaterthanonemilliondigits range there might be one PRP every 200 digitlengths, so the surprise really was that there is a solution at all. If I may ask, how many candidates did you look at before finding your 1000027digit PRP?

20230201, 10:00  #611 
Nov 2019
21_{10} Posts 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Distribution of Mersenne primes before and after couples of primes found  emily  Math  35  20221221 16:32 
Mersenne Primes p which are in a set of twin primes is finite?  carpetpool  Miscellaneous Math  4  20220714 02:29 
Leyland Primes: ECPP proofs  Batalov  XYYXF Project  57  20220630 17:24 
On Leyland Primes  davar55  Puzzles  9  20160315 20:55 
possible primes (real primes & poss.prime products)  troels munkner  Miscellaneous Math  4  20060602 08:35 