mersenneforum.org 541456 and 51456. I checked 20 numbers 2000 times and found 200 patterns!!
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 2018-12-21, 09:45 #133 enzocreti   Mar 2018 17·31 Posts 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
 2018-12-21, 09:53 #134 enzocreti   Mar 2018 10000011112 Posts 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!
2018-12-21, 12:19   #135
science_man_88

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Quote:
 Originally Posted by enzocreti 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.

2018-12-21, 15:28   #136
Dr Sardonicus

Feb 2017
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Quote:
 Originally Posted by enzocreti 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

2018-12-21, 16:08   #137
ET_
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Quote:
 Originally Posted by enzocreti 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.

Last fiddled with by ET_ on 2018-12-21 at 16:09

 2018-12-24, 15:45 #138 enzocreti   Mar 2018 17·31 Posts 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.
 2018-12-24, 16:00 #139 enzocreti   Mar 2018 17×31 Posts ...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
2018-12-24, 16:05   #140
science_man_88

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Quote:
 Originally Posted by enzocreti 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

 2018-12-24, 16:48 #141 enzocreti   Mar 2018 17·31 Posts 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!!!
2018-12-24, 16:52   #142
science_man_88

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Quote:
 Originally Posted by enzocreti 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.

 2018-12-31, 17:13 #143 enzocreti   Mar 2018 10000011112 Posts 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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