LL Test
 

What is the largest Lucas-Lehmer test completed/underway at the present moment?

[quote=Primeinator;177542]What is the largest Lucas-Lehmer test completed/underway at the present moment?[/quote]

What do you mean exactly with 'underway'?

[QUOTE=joblack;177544]What do you mean exactly with 'underway'?[/QUOTE]

Underway = currently in progress

[quote=Primeinator;177545]Underway = currently in progress[/quote]

I've got a M540.megs mersenne number under way ... we'll see in a few years.

In the 540,000,000 exponent range?

[quote=Primeinator;177553]In the 540,000,000 exponent range?[/quote]

yes ...

There is one exponent assigned for an LL in the 997M range...

(Before you ask, it is not me who took it.)

According to [URL="http://v5www.mersenne.org/primenet/"]PrimeNet v5[/URL]...

Largest "Composite - LL-D" (i.e. two matching LLs saying composite were run) is in 100000000 (2^100M) range. (this one is M100000007)
Largest "Status Unproven - LL" (i.e. one LL was run) is in the 79000000 (2^79M) range.
Largest "Assigned - LL" (i.e. underway LL test) is in the 997000000 (2^997M, ~10^300M) range, as already noted.

PrimeNet doesn't have info above 2^1G.

[quote=Mini-Geek;177558]According to [URL="http://v5www.mersenne.org/primenet/"]PrimeNet v5[/URL]...

Largest "Composite - LL-D" (i.e. two matching LLs saying composite were run) is in 100000000 (2^100M) range. (this one is M100000007)
Largest "Status Unproven - LL" (i.e. one LL was run) is in the 79000000 (2^79M) range.
Largest "Assigned - LL" (i.e. underway LL test) is in the 997000000 (2^997M, ~10^300M) range, as already noted.

PrimeNet doesn't have info above 2^1G.[/quote]

Can you assign over 2^1G?

You can request them, I believe. Wow...997M. Bet that takes awhile.

Edit: why do you call it 1G?

[quote=Primeinator;177581]You can request them, I believe. Wow...997M. Bet that takes awhile.

Edit: why do you call it 1G?[/quote]

Giga?

I've only heard giga used as a prefix for units. 10^9 I've always heard referred to as one billion.

Yes, I meant giga. Maybe it wasn't really right for that situation, but I'm just used to using K, M, G, etc. as kilo, mega, giga, etc. even in situations involving numbers. For example, in sieving you almost always refer to G and T, and not billion and trillion or 10^9 and 10^12. Why is it like this? I don't really know. :smile: Also, "megabit prime" is a fairly common term referring to primes that in binary form have over 10^6 digits, so I suppose you could extend that to "gigabit candidate" for Mersenne's over 2^10^9 a.k.a. 2^1G a.k.a. 2^1B.

And no, PrimeNet v5 has absolutely no support, as far as I can tell, for p>1G. You can't request the status of those exponents. Prime95 can't even run LL tests that large. It can factor numbers that big, but when you manually add them to the worktodo and communicate with the Overmind (PrimeNet), it says:[code]pnErrorResult=40
pnErrorDetail=ra: trial factoring not required, exponent: 1000000901, ef: 80
==END==[/code]Prime95 can still factor it, but PrimeNet doesn't recognize it

[quote=Mini-Geek;177630]Yes, I meant giga. Maybe it wasn't really right for that situation, but I'm just used to using K, M, G, etc. as kilo, mega, giga, etc. even in situations involving numbers. For example, in sieving you almost always refer to G and T, and not billion and trillion or 10^9 and 10^12. Why is it like this? I don't really know. :smile:[/quote]

Will quadrillions be represented as P when we come to them? It seems rather unnatural.

[quote=10metreh;177932]Will quadrillions be represented as P when we come to them? It seems rather unnatural.[/quote]
Yes. It's already used in some very large sieving applications. e.g. at [url]http://www.primegrid.com/forum_thread.php?id=1230#13578[/url]

[quote=10metreh;177932]Will quadrillions be represented as P when we come to them? It seems rather unnatural.[/quote]Metric system. After P comes E, Z and Y.

For the current official prefixes, see [URL]http://www.bipm.org/en/si/prefixes.html[/URL]

For someone's idea for future extensions beyond P, E, Z and Y (... X, W, V, U, TD, S, R, Q, PP, O, N, MI, L), see [URL]http://jimvb.home.mindspring.com/unitsystem.htm[/URL]

[quote=Mini-Geek;177934]Yes. It's already used in some very large sieving applications. e.g. at [URL]http://www.primegrid.com/forum_thread.php?id=1230#13578[/URL][/quote]However, a footnote to the next message, #16318, shows that not everyone fully accepts the decimal basis for those prefixes. :smile:

[QUOTE=cheesehead;177964]Metric system. After P comes E, Z and Y.[/QUOTE]Thus the expression Eazy PEZY.