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Old 2018-12-21, 09:45   #133
enzocreti
 
Mar 2018

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Default 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 2018-12-21 at 09:46
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Old 2018-12-21, 09:53   #134
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Default 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!
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Old 2018-12-21, 12:19   #135
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Originally Posted by enzocreti View Post
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
https://en.m.wikipedia.org/wiki/Sieve_of_Sundaram seems relevant.
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Old 2018-12-21, 15:28   #136
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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
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Old 2018-12-21, 16:08   #137
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Originally Posted by enzocreti View Post
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
Many explained it, but is looks like you did not unders... ehr... follow their stream of consciousness.

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Old 2018-12-24, 15:45   #138
enzocreti
 
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Default 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.
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Old 2018-12-24, 16:00   #139
enzocreti
 
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Default ...the wonders...

and the wonders have not yet finshed:

541456 is 48 mod 56
51456 is 48 mod 56


(541456-48)/56=9669-1
(51456-48)/56=919-1

where 9669 and 919 are palindromes
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Old 2018-12-24, 16:05   #140
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Originally Posted by enzocreti View Post
and the wonders have not yet finshed:

541456 is 48 mod 56
51456 is 48 mod 56


(541456-48)/56=9669-1
(51456-48)/56=919-1

where 9669 and 919 are palindromes
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 2018-12-24 at 16:08
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Old 2018-12-24, 16:48   #141
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Default 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!!!
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Old 2018-12-24, 16:52   #142
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I think that when I will find other probable primes of this type, the wonders will not end here...these primes are MAGIC!!!
all primes greater than 7 are the same remainder mod 6 as a prime below 7.
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Old 2018-12-31, 17:13   #143
enzocreti
 
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Default 51456 and 541456

pg(51456) and pg(541456) are probable primes.

51456=(700^2-164^2)/3^2
541456=(700^2-164^2)/3^2+700^2
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