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1) Message boards : Cullen/Woodall prime search : What is searched for Cullen & Woodal? (Message 107657)
Posted 1546 days ago by Jonas Skendelis
ok, tnx, now it's clear... Just it was interesting, how big is n for Cullen and Woodal for the moment...
2) Message boards : Cullen/Woodall prime search : What is searched for Cullen & Woodal? (Message 107648)
Posted 1546 days ago by Jonas Skendelis
New generized cullen/woodal project states that it is searching primes for n·bn±1 for b=(13, 25, 29, 41, 47, 49, 53, 55, 69, 73, 101, 109, 116, 121)
It is interesting, what parameters (n. b) are for "old" Cullen and Woodal projects?
Tnx, -js-
3) Message boards : Number crunching : How to extend deadline? (Message 87583)
Posted 2158 days ago by Jonas Skendelis
I run Sierpinski LLR and deadline is coming....
Is the possibility to extend deadline?

It seems - computer is not so slow ( Notebook with 2,6 GHz, crunches data 12-14 hours per day... but .... estimated remaining still growing....
4) Message boards : General discussion : How are they used? (Message 81615)
Posted 2409 days ago by Jonas Skendelis
Yes, Gary, "unfathomably larger". But they do not help to "prove", but only "illustrate"...
About security - I have strong feeling that one day security based on primes (public/private keys) will not be effective. It is good against "brute force" but one day could fall under theoretical findings (theory of elliptic curves or some else) - so in face of "intelectual force"... If it is strong from one end it could be weak from another end...

-js-
5) Message boards : General discussion : How are they used? (Message 81593)
Posted 2409 days ago by Jonas Skendelis
Tnx, Raymond,
I know that very well... My question was - are known some very specific (concrete,) usage of these primes found on PrimeGrid (or some other similar project)?

Regards, -js-
6) Message boards : General discussion : Naming of "composite" primes (Message 81591)
Posted 2410 days ago by Jonas Skendelis
Yes - but if we will take a form k * p^n + l *q^m, then primes are available when p and q are odd (when one of k or l is even), for example:
1*3^1 + 2*7^1=17
(and that is true if p & q are primes, as well - as in example above, too; and another example 2*3^2+1*11^2=139)

Regards, -js-
7) Message boards : General discussion : Naming of "composite" primes (Message 81578)
Posted 2410 days ago by Jonas Skendelis
Tnx, JeppeSN...

Yes, you have understood correctly....
But, yes, I know about numbers in form a^{2^n} + b^{2^n}...
My question was about p^n+q^m
(sorry - in previous text I made mistake -- must be n & m)
and their generalizations: k p^n+l q^m

-js-
8) Message boards : General discussion : How are they used? (Message 81568)
Posted 2410 days ago by Jonas Skendelis
Hi, all,
And finally last thread from me :)
Primes are fascinating - and I know their importance in practical use...
But ... was there some "profit" (productive use) of all these primes found (for example in PrimeGrid) - or is it only sportive seeking of them in hoping to some usefullnesss of them (primes) in future...

Regards, -js-
9) Message boards : General discussion : Naming of "composite" primes (Message 81567)
Posted 2410 days ago by Jonas Skendelis
Hi all,
I got interest in one question - a prime, expressed in one way (for example, k2^n) could be expressed differently (for example, p^n+q^n).
p^n+q^n (p.q - also primes) especially attracted my attention (or more general expresion - kp^n+lq^m) - I looked into naming of primes but my eye have not caught name for primes in that form... Has they some special naming?

Regards,
-js-

10) Message boards : General discussion : Intersection of primes (Message 81566)
Posted 2410 days ago by Jonas Skendelis
Tnx, Michael - good explanation...

I had thought that it would be good idea to have some API to access these data directly. As all data are stored in DB, that could not be very difficult thing to prepare such interface...
Then interested people could download these primes directly and perform some extra analysis of them...

There was misunderstanding about p.3 (sorry, maybe in hurry I expressed not very clearly)...
I had in my mind -- the prime of one form (for example, Cullen) could be prime found in another search (for example, Proth or Sophie)...

But going to your answer ("here's been a lot of different prime searches") - maybe somewhere is accumulated (common/integrated) DB of them?

Regards, -js-





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