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Old 2018-12-18, 22:43   #111
chalsall
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Quote:
Originally Posted by Batalov View Post
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....
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Old 2018-12-18, 23:05   #112
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XKCD 386
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Old 2018-12-19, 01:07   #113
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Old 2018-12-19, 03:37   #114
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Originally Posted by enzocreti View Post
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.
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Old 2018-12-19, 06:44   #115
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Default 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.
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Old 2018-12-19, 06:59   #116
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Quote:
Originally Posted by enzocreti View Post
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!
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Old 2018-12-19, 09:02   #117
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Default 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
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Old 2018-12-19, 09:18   #118
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Default congruent to 7 mod 24

and i think there are other coincidences

Last fiddled with by enzocreti on 2018-12-19 at 09:19
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Old 2018-12-19, 10:12   #119
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Quote:
Originally Posted by enzocreti View Post
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
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Old 2018-12-19, 10:36   #120
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Default ...continue...

pg(36) is prime pg(36*1935) is prime...36+36*1935=264^2!
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Old 2018-12-19, 10:42   #121
enzocreti
 
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Default au contraire

Quote:
Originally Posted by axn View Post
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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