PG PRIMES

enzocreti · 2018-07-24, 06:46

https://solutionsti360.ca/MATH/pfgw/stats.html
At this link you can join in the ec-primes search.

henryzz · 2018-07-24, 08:35

Quote:

Originally Posted by enzocreti

https://solutionsti360.ca/MATH/pfgw/stats.html
At this link you can join in the ec-primes search.

What software is being used for the prp tests? It would be possible to use pfgw based on a script for this form.

pinhodecarlos · 2018-07-24, 08:45

Quote:

Originally Posted by henryzz

What software is being used for the prp tests? It would be possible to use pfgw based on a script for this form.

They are using pfgw. Do you know if it is multithreaded, can’t see anything on the txt documents.

Batalov · 2018-07-25, 06:12

Why is this project so slow?

Even one computer is enough to quickly find:
(2^75894-1)*10^22847+2^75893-1
(2^79798-1)*10^24022+2^79797-1
(2^92020-1)*10^27701+2^92019-1
...

What's more - these are known to FactorDB for months (since March).
________________

Ah, there it is https://oeis.org/A301806

2, 3, 4, 7, 8, 12, 19, 22, 36, 46, 51, 67, 79, 215, 359, 394, 451, 1323, 2131, 3336, 3371, 6231, 19179, 39699, 51456, 56238, 69660, 75894, 79798, 92020, 174968, 176006, 181015, 285019, 331259

enzocreti · 2018-07-25, 09:26

Quote:

Originally Posted by Batalov

Why is this project so slow?

Even one computer is enough to quickly find:
(2^75894-1)*10^22847+2^75893-1
(2^79798-1)*10^24022+2^79797-1
(2^92020-1)*10^27701+2^92019-1
...

What's more - these are known to FactorDB for months (since March).
________________

Ah, there it is https://oeis.org/A301806

2, 3, 4, 7, 8, 12, 19, 22, 36, 46, 51, 67, 79, 215, 359, 394, 451, 1323, 2131, 3336, 3371, 6231, 19179, 39699, 51456, 56238, 69660, 75894, 79798, 92020, 174968, 176006, 181015, 285019, 331259

yes I found that values, but I have yet not found a probable prime congruent to 6 (mod 7)

Batalov · 2018-07-25, 15:01

So, these are not EC primes.

Rather they are PG primes, aren't they?

enzocreti · 2018-07-26, 06:41

Quote:

Originally Posted by Batalov

So, these are not EC primes.

Rather they are PG primes, aren't they?

Yes Enzo Creti is just a pseudonime

enzocreti · 2019-05-07, 12:57

pg(k) are numbers of the form =(2^k-1)*10^d+2^(k-1)-1 where d is the number of decimal digits of 2^(k-1)-1.

The k for wich pg(k) is prime are:

2, 3, 4, 7, 8, 12, 19, 22, 36, 46, 51, 67, 79, 215, 359, 394, 451, 1323, 2131, 3336, 3371, 6231, 19179, 39699, 51456, 56238, 69660, 75894, 79798, 92020, 174968, 176006, 181015, 285019, 331259, 360787, 366770

I call a(1)=2, a(2)=3 a(3)=4 a(4)=7...the terms of the sequence

Now look at a(7s)'s

a(7)=19 is prime
a(14)=215 is a multiple of 215
a(21)=3371 is prime
a(28)=75894 is -1 (mod 215)
a(35)=331259 is prime

They seem not random at all!!!

Uncwilly · 2019-05-07, 14:10

I moved this to your blog area.

Keep your stuff there. You have been previously warned to not post your every thought elsewhere in the forum. If you don't behave, you can lose your posting privileges.

enzocreti · 2019-05-07, 15:17

Quote:

Originally Posted by Uncwilly

I moved this to your blog area.

Keep your stuff there. You have been previously warned to not post your every thought elsewhere in the forum. If you don't behave, you can lose your posting privileges.

sorry

lukerichards · 2019-05-07, 15:32

Quote:

Originally Posted by enzocreti

pg(k) are numbers of the form =(2^k-1)*10^d+2^(k-1)-1 where d is the number of decimal digits of 2^(k-1)-1.

Reducing the number of variables (but increasing the complexity), this is:

$(2^k-1)(10^ {\lfloor{1+log_{10}{(2^{k-1}-1)}}\rfloor})+2^{k-1}-1$

2018-07-24, 06:46	#1
enzocreti Mar 2018 2×5×53 Posts	PG PRIMES https://solutionsti360.ca/MATH/pfgw/stats.html At this link you can join in the ec-primes search.

2018-07-25, 06:12	#4
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3⁶×13 Posts	Why is this project so slow? Even one computer is enough to quickly find: (2^75894-1)10^22847+2^75893-1 (2^79798-1)10^24022+2^79797-1 (2^92020-1)10^27701+2^92019-1 ... What's more - these are known to FactorDB for months (since March). ________________ Ah, there it is https://oeis.org/A301806 2, 3, 4, 7, 8, 12, 19, 22, 36, 46, 51, 67, 79, 215, 359, 394, 451, 1323, 2131, 3336, 3371, 6231, 19179, 39699, 51456, 56238, 69660, 75894, 79798, 92020, 174968, 176006, 181015, 285019, 331259 Last fiddled with by Batalov on 2018-07-25 at 07:03*

2019-05-07, 12:57	#8
enzocreti Mar 2018 2×5×53 Posts	pg primes !!! pg(k) are numbers of the form =(2^k-1)*10^d+2^(k-1)-1 where d is the number of decimal digits of 2^(k-1)-1. The k for wich pg(k) is prime are: 2, 3, 4, 7, 8, 12, 19, 22, 36, 46, 51, 67, 79, 215, 359, 394, 451, 1323, 2131, 3336, 3371, 6231, 19179, 39699, 51456, 56238, 69660, 75894, 79798, 92020, 174968, 176006, 181015, 285019, 331259, 360787, 366770 I call a(1)=2, a(2)=3 a(3)=4 a(4)=7...the terms of the sequence Now look at a(7s)'s a(7)=19 is prime a(14)=215 is a multiple of 215 a(21)=3371 is prime a(28)=75894 is -1 (mod 215) a(35)=331259 is prime They seem not random at all!!!

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2018-07-25, 15:01	#6
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3⁶·13 Posts	So, these are not EC primes. Rather they are PG primes, aren't they?

2019-05-07, 14:10	#9
Uncwilly 6809 > 6502 """"""""""""""""""" Aug 2003 101×103 Posts 9,787 Posts	I moved this to your blog area. Keep your stuff there. You have been previously warned to not post your every thought elsewhere in the forum. If you don't behave, you can lose your posting privileges.