20181216, 10:54  #56 
Mar 2018
1000001111_{2} Posts 
Example
Naaaaaaaaa...that's a bad example

20181216, 11:09  #57 
Mar 2018
1000001111_{2} Posts 
Pg(k)
Primes of this form follow a rule...the only problem is that there yet too few many primes found and the rule is so difficult that only a top mathematician could find it

20181216, 13:03  #58  
Feb 2017
Nowhere
2^{4}×271 Posts 
Quote:
Quote:


20181216, 16:03  #59 
Aug 2006
2×29×103 Posts 

20181216, 16:49  #60  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
Quote:
if the exponent d was more regular, you'd expect such runs. it just happens regular for long stretches 

20181216, 16:56  #61 
Mar 2018
17×31 Posts 
THE ACE
Now i think i will drop the ace:
pg(215), pg(69660) and pg(92020) are probable primes (215,69660,92020 are multiples of 215). Amazingly pg(215), pg(69660) and pg(92020) are all congruent to 15 mod 31!!! 
20181216, 17:22  #62 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
19×491 Posts 
Tigger is introduced in Chapter II of House at Pooh Corner, when he arrives at WinniethePooh's doorstep in the middle of the night, announcing himself with a stylised roar.
Most of the rest of that chapter is taken up with the characters' search for a food that Tigger can eat for breakfast — despite Tigger's claims to like "everything," it is quickly proven he does not like honey, acorns, thistles, or most of the contents of Kanga's larder. 
20181216, 19:43  #63 
Mar 2018
17·31 Posts 
pk(215k)
all pg(215k)'s are congruent to 15 mod 31!

20181216, 19:57  #64 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9329_{10} Posts 
Stop being silly. 215k is divisible by 5.
All pg(m) are congruent to 15 mod 31 when 5m  which is entirely obvious. That's some ace you got. "Three values that could not be anything but 15 mod 31, turned out to be 15 mod 31. Oh the shock!" 
20181216, 22:37  #65 
Feb 2018
96_{10} Posts 
The prime numbers dont follows any rule.
They are the small few survivors after all the rules applied. At infinite only the gap fills the black space, and they looks like lonely stars. 
20181217, 08:34  #66 
Mar 2018
17·31 Posts 
pg(69660), pg(92020), pg(541456)
pg(69660), pg(92020) and pg(541456) are probbale primes and they are all congruent to 7 mod 10.
So it seems that when pg(86k) is prime, then it is congruent to 7 mod 10! 
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