541456 and 51456. I checked 20 numbers 2000 times and found 200 patterns!! - Page 13

enzocreti · 2018-12-21, 09:45

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

enzocreti · 2018-12-21, 09:53

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!

science_man_88 · 2018-12-21, 12:19

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.

Dr Sardonicus · 2018-12-21, 15:28

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

ET_ · 2018-12-21, 16:08

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.

enzocreti · 2018-12-24, 15:45

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.

enzocreti · 2018-12-24, 16:00

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

science_man_88 · 2018-12-24, 16:05

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

enzocreti · 2018-12-24, 16:48

I think that when I will find other probable primes of this type, the wonders will not end here...these primes are MAGIC!!!

science_man_88 · 2018-12-24, 16:52

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.

enzocreti · 2018-12-31, 17:13

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

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

2018-12-21, 09:45	#133
enzocreti Mar 2018 2×5×53 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 2·5·53 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!

2018-12-24, 15:45	#138
enzocreti Mar 2018 2·5·53 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)=73517 (541456+1)=773517!!! 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 2×5×53 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, 16:48	#141
enzocreti Mar 2018 2·5·53 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!!!

2018-12-31, 17:13	#143
enzocreti Mar 2018 530₁₀ 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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