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2018-12-18, 22:43   #111
chalsall
If I May

"Chris Halsall"
Sep 2002

9,887 Posts

Quote:
 Originally Posted by Batalov Stop obsessing about it. It is not even a coincidence - it is a multiple testing result.
IMO, it's a little sad how many don't understand that correlation does not (always) mean causation.

Similarly, many don't recognize when the empirical data strongly supports a causation linkage....

 2018-12-18, 23:05 #112 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 992810 Posts XKCD 386
 2018-12-19, 01:07 #113 Xyzzy     "Mike" Aug 2002 72·132 Posts
2018-12-19, 03:37   #114
Dr Sardonicus

Feb 2017
Nowhere

13·373 Posts

Quote:
 Originally Posted by enzocreti the two probable primes have also the same residue mod 511
You might want to check that again. Neither 7 nor 73 divides their difference.

 2018-12-19, 06:44 #115 enzocreti   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.
2018-12-19, 06:59   #116
CRGreathouse

Aug 2006

135338 Posts

Quote:
 Originally Posted by enzocreti 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.
This is a great place to use the information you no doubt already learned from reading the page on multiple comparisons that has been suggested twice on this thread (now thrice). To show that you have understood, what p-value do you compute before and after Bonferroni correction? (This is just the simplest correction you could use; feel free to use a more advanced method.)

This is your chance to show that the pattern really is significant!

 2018-12-19, 09:02 #117 enzocreti   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
 2018-12-19, 09:18 #118 enzocreti   Mar 2018 2·5·53 Posts congruent to 7 mod 24 and i think there are other coincidences Last fiddled with by enzocreti on 2018-12-19 at 09:19
2018-12-19, 10:12   #119
axn

Jun 2003

53×41 Posts

Quote:
 Originally Posted by enzocreti 546 and 24 are both congruent to 24 mod 29
Statements of the form "x & y are congruent to k mod p" is utterly meaningless.

Pick any two number x & y.

Factorize x-y. Let p be a prime that divides x-y

x-y == 0 (mod p)
or x == y (mod p)

546-24 = 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 2018-12-19 at 10:16

 2018-12-19, 10:36 #120 enzocreti   Mar 2018 2×5×53 Posts ...continue... pg(36) is prime pg(36*1935) is prime...36+36*1935=264^2!
2018-12-19, 10:42   #121
enzocreti

Mar 2018

2×5×53 Posts
au contraire

Quote:
 Originally Posted by axn Statements of the form "x & y are congruent to k mod p" is utterly meaningless. Pick any two number x & y. Factorize x-y. Let p be a prime that divides x-y x-y == 0 (mod p) or x == y (mod p) 546-24 = 2*3^2*29 So of course they are both in the same congruent class (mod 29) (and mod 9 and mod 2)

Au contraire,
546*139 and 24*139 are both 1 mod 29

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