MLucas 4608K FFT run has finished as well:

[Dec 30 21:52:55] M7xxxxxxx Iter# = 7xxxxxxx [100.00% complete] clocks = 00:01:40.200 [ 0.0030 sec/iter] Res64: 0000000000000000. AvgMaxErr = 0.013612168. MaxErr = 0.019531250.
M7xxxxxxx is a new MERSENNE PRIME!!!




Now we have verification using 4 different programs:
Prime95, gpuOwl, CUDALucas and MLucas

and using 3 different types of hardware:
Intel CPU, AMD Vega GPU, Titan Black GPU

and using 3 different FFT lengths:
4096K, 4320K, 4608K.







[QUOTE=Batalov;475461]I suppose you will get the s[SUB]0[/SUB] = 10 value as well, no doubt.
As for s[SUB]0[/SUB] = 2/3, I am curious to learn if the Penultimate LL value is proven to be a simple function of p ...or only conjectured? Anyone?[/QUOTE]

I'm working on both the s[SUB]0[/SUB]=10 and s[SUB]0[/SUB]=2/3.

So ... how many other verifications left before the announcement ?

[QUOTE=ATH;475468]I'm working on both the s[SUB]0[/SUB]=10 and s[SUB]0[/SUB]=2/3.[/QUOTE]
But the s[SUB]0[/SUB]=2/3 pen.residue will be simply + if p%4==1 and - if p%4==3, won't it?

[QUOTE=pacionet;475470]So ... how many other verifications left before the announcement ?[/QUOTE]Because it is the weekend and the end of the year, I would say the announcement will be on Jan 2 or 3.

[QUOTE=pacionet;475470]So ... how many other verifications left before the announcement ?[/QUOTE]

The new prime is now known to be true, with high confidence.

It is now up to George et al to decide on the timing (as is their right). Somewhere around 2018.01.03 is likely.

[QUOTE=Batalov;475472]But the s[SUB]0[/SUB]=2/3 pen.residue will be simply + if p%4==1 and - if p%4==3, won't it?[/QUOTE]

I have not heard that conjecture / theorem, but it fits the data except for M3 = 2^5-1 = 31.

S0 = 2/3 (mod 31) = 11 (mod 31)
S1 = 26 (mod 31)
S2 = 23 (mod 31) = [B]-[/B] 2^(p+1)/2
S3 = 0 (mod 31)

It seems like too much of a coincidence that it fits all the other 47 values for it not to be true....

I seem to recall George saying that Tuesdays are best in terms of press exposure.

Congrats everyone!
Thanks to everyone on that 1023 long e-mail list who coordinate our efforts.

[QUOTE=ATH;475476]I have not heard that conjecture / theorem, but it fits the data except for M3 = 2^5-1 = 31.[/QUOTE]
p=5 is a known, specifically listed, counterexample (I didn't mention it because we are talking about M"50"). This statement (with p!=5 in it) is there on the first page of the Jansen paper; I don't have the rest ([URL="http://web.math.leidenuniv.nl/scripties/PhDJansen.pdf"]the old link[/URL] leads nowhere), that's why I was asking - does he end up proving it or not in his work.

P.S. Archive.org kept it! - [URL]https://web.archive.org/web/20160131070826/http://www.math.leidenuniv.nl/scripties/PhDJansen.pdf[/URL]

P.P.S. Yes, it is proven (S.Y. Gebre-Egziabher). No need to compute those for s[sub]0[/sub] = 2/3.

[QUOTE=Batalov;475483]
P.S. Archive.org kept it! - [URL]https://web.archive.org/web/20160131070826/http://www.math.leidenuniv.nl/scripties/PhDJansen.pdf[/URL][/QUOTE]


I hope you are aware that their crawls have been terminated probably by a robots.txt or something on this site.

[QUOTE=preda;475159]Congrats all!
there was a rather surprisingly large hole between M48 at 57'885'161) and the [b][ex] M49[/b] at 74'207'281.[/QUOTE]
As of today, M49 still appears to be M49, not M50. From what was posted in this thread, the exponent of the new Mersenne prime appears to be greater than 74207281.