20181218, 22:43  #111  
If I May
"Chris Halsall"
Sep 2002
Barbados
9,887 Posts 
Quote:
Similarly, many don't recognize when the empirical data strongly supports a causation linkage.... 

20181219, 01:07  #113 
"Mike"
Aug 2002
7^{2}·13^{2} Posts 

20181219, 03:37  #114 
Feb 2017
Nowhere
13·373 Posts 

20181219, 06:44  #115 
Mar 2018
2×5×53 Posts 
mod 13
pg(43*5) is prime. 5 (odd) is congruent to 8 mod 13. pg(43*1620) is prime. 1620 (even) is congruent to 8 mod 13. pg(43*2140) is prime. 2140 (even) is congruent to 8 mod 13. pg(43*12592) is prime. 12592 (even) is congruent to 8 mod 13. pg(67*1) is prime. 1 is congruent to 1 mod 13. pg(67*768) is prime. 768 is congruent to 1 mod 13.
pg(43k) and pg(67k) are probable primes when k has a particular congruence modulo 13. 
20181219, 06:59  #116  
Aug 2006
13533_{8} Posts 
Quote:
This is your chance to show that the pattern really is significant! 

20181219, 09:02  #117 
Mar 2018
2×5×53 Posts 
I add one more thing
...pg(139*546) is prime. pg(139*24) is prime...546 and 24 are both congruent to 24 mod 29

20181219, 09:18  #118 
Mar 2018
2·5·53 Posts 
congruent to 7 mod 24
and i think there are other coincidences
Last fiddled with by enzocreti on 20181219 at 09:19 
20181219, 10:12  #119 
Jun 2003
5^{3}×41 Posts 
Statements of the form "x & y are congruent to k mod p" is utterly meaningless.
Pick any two number x & y. Factorize xy. Let p be a prime that divides xy xy == 0 (mod p) or x == y (mod p) 54624 = 2*3^2*29 So of course they are both in the same congruent class (mod 29) (and mod 9 and mod 2) Last fiddled with by axn on 20181219 at 10:16 
20181219, 10:36  #120 
Mar 2018
2×5×53 Posts 
...continue...
pg(36) is prime pg(36*1935) is prime...36+36*1935=264^2!

20181219, 10:42  #121  
Mar 2018
2×5×53 Posts 
au contraire
Quote:
Au contraire, 546*139 and 24*139 are both 1 mod 29 

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