20181221, 09:45  #133 
Mar 2018
17·31 Posts 
frequency of residue 5 and 6
anyway nobody has yet explained why there are so many probable primes with residue 5 mod 7 (i think 9) and none with residue 6. If the numbers were random, i think that could not be possible...I am pretty sure that somebody in the world knows something more about these numbers
Last fiddled with by enzocreti on 20181221 at 09:46 
20181221, 09:53  #134 
Mar 2018
1000001111_{2} Posts 
I am pretty sure
i am pretty sure that these numbers will have other surprises...i think that with my computer I will find only another couple of them, but within 5 years, with the new graphene chips, i will manage to reach exponent 1 million and so a lot of other things will emerge!

20181221, 12:19  #135  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
Quote:


20181221, 15:28  #136  
Feb 2017
Nowhere
10537_{8} Posts 
Quote:


20181221, 16:08  #137  
Banned
"Luigi"
Aug 2002
Team Italia
17·283 Posts 
Quote:
Last fiddled with by ET_ on 20181221 at 16:09 

20181224, 15:45  #138 
Mar 2018
17·31 Posts 
the very INTERESTING thing
I found the VERY interesting thing that pg(51456) and pg(541456) are both probable prime. That said, i found the VERY remarkable fact that:
(51456+1)=7351*7 (541456+1)=77351*7!!! And I think that we could find even more REMARKABLE facts if we consider the palindromic NUMBERS. 
20181224, 16:00  #139 
Mar 2018
17×31 Posts 
...the wonders...
and the wonders have not yet finshed:
541456 is 48 mod 56 51456 is 48 mod 56 (54145648)/56=96691 (5145648)/56=9191 where 9669 and 919 are palindromes 
20181224, 16:05  #140 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
define numerology, now define math note the difference. your statement is the equivalent of 8750 is the difference between two palindromes. The first of which is 919
Last fiddled with by science_man_88 on 20181224 at 16:08 
20181224, 16:48  #141 
Mar 2018
17·31 Posts 
the wonders of pg primes...
I think that when I will find other probable primes of this type, the wonders will not end here...these primes are MAGIC!!!

20181224, 16:52  #142 
"Forget I exist"
Jul 2009
Dumbassville
10000011000000_{2} Posts 

20181231, 17:13  #143 
Mar 2018
1000001111_{2} Posts 
51456 and 541456
pg(51456) and pg(541456) are probable primes.
51456=(700^2164^2)/3^2 541456=(700^2164^2)/3^2+700^2 
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