332.2M - 333.9M (aka 100M digit range)

[Uncwilly]

Here is the status report for the range from 332192831 to 332399999 (plus other data out to 332999999):

Date of data				2016/01/20
Average bit depth for first 100 expos	79.01
Average bit depth for first 1000 expos	78.48
Average bit depth for first 5000 expos	76.29
Average bit depth for first 10000 expos	75.39
100th active expo (no factor found)	332198443
1000th active expo (no factor found)	332247557
5000th active expo (no factor found)	332448943
10000th active expo (no factor found)	332696087
Unitless total effort number		414,523,392
Number of first 100 expos to 2^79	81
Number of first 1000 expos to 2^78	831
Number of first 5000 expos to 2^77	1917
Number of first 10000 expos to 2^76	3702
Number left in (classic) range		4027

Estimated expos in range to be removed	121
(by taking all expos to 2^79)
Estimated expos in range to be removed	263
(by taking all expos to 2^82)

Bit	# at bit level
74	151
75	983
76	1039
77	693
78	356
79	752
80	35
81	13
82	2
83	1
84	0
85	2
P-1     628

There have been a few good P-1 factors found, mainly by Aurashift.
Attached image has arrows indicating the previous (last report) lowest expo for the 74, 75, and 76 bit levels.

[aurashift]

http://www.mersenne.org/report_expon...2277943&full=1

http://www.mersenne.org/report_expon...2279839&full=1

Got a few more coming in a few weeks.

[Uncwilly]

Cool.

There was a 170 bit composite factor found via P-1 recently.
http://www.mersenne.org/report_expon...2259013&full=1
82 and 88 bits for the factors

[aurashift]

Thanks to the venerable MadPoo for helping me figure out a numa issue with some new servers by using AffinityScramble2, I've currently got the ability to bring in 32 100M digit exponents every ~50 days. (at least until these servers get used for something.)

edit: that is, once they start LL.

[TObject]

Holly Batman, aurashift!

Can I be your friend?

[aurashift]

Originally Posted by TObject

Holly Batman, aurashift!

Can I be your friend?

sure, but there's a vetting process and registration fee.

[aurashift]

I have a good feeling about 333,333,223 and 333,333,307. Or I just think they look neat. About 25 days before we start seeing results... lost 6 blades to projects (12 sockets)

[TObject]

So, if it is one exponent per blade, each blade is 15-20% faster than a Titan [at the 100M digit range LL], plus the ECC memory benefit. If it is two exponents per blade, then it is another 50% faster.

What does a system with 32 such blades cost?
What does a system with 16 such blades cost?

[aurashift]

Originally Posted by TObject

So, if it is one exponent per blade, each blade is 15-20% faster than a Titan [at the 100M digit range LL], plus the ECC memory benefit. If it is two exponents per blade, then it is another 50% faster.

What does a system with 32 such blades cost?
What does a system with 16 such blades cost?

It is a single blade with two sockets, which can handle two exponents. Each socket has 16 physical cores (this model anyway...you can max out at 18 cores per socket right now).

As for cost... let's just say metric fktons. (...really...at 16-32 the blades and the infrastructure...hmm...think cost of a house. I'm privileged to get to use these until they get provisioned.)

I'm glad you commented, I was just wondering what the GPUs could do in the 100M range the other day...

[TObject]

Yea, a Titan (the original, non-overclocked) does a 100M digit exponent in about 60 days (maybe a few days less if you are willing to be more adventurous with FFT sizes), with current CudaLucas. But it is really better to run two side-by side and compare residues along the way.

Cool info on the blades. I need to win a lottery, pronto; so I can get some. ;)

[Uncwilly]

Here is the status report for the range from 332192831 to 332399999 (plus other data out to 332999999):

Date of data				2016/04/20
Average bit depth for first 100 expos	79.01
Average bit depth for first 1000 expos	78.52
Average bit depth for first 5000 expos	76.54
Average bit depth for first 10000 expos	75.81
100th active expo (no factor found)	332198443
1000th active expo (no factor found)	332247649
5000th active expo (no factor found)	332450803
10000th active expo (no factor found)	332700301
Unitless total effort number		457,326,592
Number of first 100 expos to 2^79	81
Number of first 1000 expos to 2^78	850
Number of first 5000 expos to 2^77	2086
Number of first 10000 expos to 2^76	3895
Number left in (classic) range		4006

Estimated expos in range to be removed	111
(by taking all expos to 2^79)
Estimated expos in range to be removed	252
(by taking all expos to 2^82)

Bit	# at bit level
74	0
75	931
76	1059
77	742
78	407
79	751
80	95
81	16
82	2
83	1
84	0
85	2
P-1     686

There has been some serious firepower thrown at this range of late. Note the rise in expos taken to 80 bits.
We are now over 61% factored out for the 332M range as a whole.
The first
Attached image has arrows indicating the previous (last report) lowest expo for the 74, 75, and 76 bit levels.