M794249 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	37.4113	70.1493%	500000	15000000	0.0374	4.5797%	37.4487	71.5163%	1.3671%
PrimeNet	2⁴⁰	0.0000	50.0000%	7000	300000	0.0007	22.2950%	0.0007	61.1475%	11.1475%
GPU72	2⁴⁴	0.0000	54.5455%	13000	500000	0.0011	17.1048%	0.0011	62.3203%	7.7749%
Difference	+23	+37.4113	+15.6038%	+487000	+14500000	+0.0362	-12.5250%	+37.4475	+9.1960%	+9.1960%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
794249	7117465925768940050849	22	72.592	4480626305962576 2⁴ × 7 × 11 × 2857 × 1272968849	2011-12-23	2857	1272968849	1,364.6	2.0086	3.7513
794249	48906018579232452916765941217	29	95.304	30787585869942834625392 2⁴ × 3 × 7 × 43 × 107 × 109121 × 266027 × 686041	2012-01-14	266027	686041	1.433e+10	0.0084	0.0157

exponent	prime factors	composite factor	digits	bits*
794249	7117465925768940050849 48906018579232452916765941217	34808692080270969270238558889375953192903132494323 3	51	167.896

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-02T00:00:00	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.203%
2002-02-10T00:00:00	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.434%
2002-03-31T00:00:00	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.002	-	-	0.783%
2002-05-25T00:00:00	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.003	-	-	1.272%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.006	-	-	1.907%
2002-12-31T00:00:00	ANONYMOUS	v4_computers	65537	6553700		-		-	-	0.012	-	-	2.684%
2003-07-21T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.024	-	-	3.587%
2011-07-19T21:09:00	Jocelyn Larouche	Manual testing	268718	268718		-		-	-	0.008	-	-	1.316%
2011-08-31T00:06:00	Jocelyn Larouche	Manual testing	447864	447864		-		-	-	0.013	-	-	1.675%
unknown			500000	15000000		-	MISSED FACTOR!	-	-	0.037	-	-	4.580%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-02-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.012	-	-
2001-12-08T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.024	-	-
2003-09-14T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.048	-	-
2008-10-11T18:54:00	Sturle Sunde	iago.ifi	2⁵⁸	2⁵⁹		-	-	0.048	-	-
2008-10-11T19:24:00	Sturle Sunde	iago.ifi	2⁵⁹	2⁶⁰		-	-	0.097	-	-
2010-06-19T20:50:00	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.193	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.390 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	323 / 100	3.230	3.892%
25	50000	323 / 280	1.154	31.486%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	11.390 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	12.667	0.000%
25	50000	1.344	26.092%
30	250000	0.107	89.825%
35	1000000	0.007	99.297%

ECM Summary

B1	B2	factor	curves	GHz-days
		7117465925768940050849	1	0.00000e+0
		48906018579232452916765941217	1	0.00000e+0
50000	5000000		279	6.369
250000	25000000		44	5.022

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-01T22:32:00	Team_Bundu	bundu1	50000	5000000						1	0.023
2008-01-18T14:14:00	Team_Bundu	bundu3	50000	5000000						3	0.068
2008-09-25T15:44:00	Sturle Sunde	v21	50000	5000000						3	0.068
2009-01-07T17:21:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-03-22T04:01:00	Sturle Sunde	v23	50000	5000000						3	0.068
2009-07-11T12:21:00	Geoff Wing	GW1	50000	5000000						3	0.068
2009-09-21T10:45:00	Lackó	Iroda_Laci	50000	5000000						3	0.068
2009-11-13T07:25:00	Geoff Wing	GW1	50000	5000000						3	0.068
2010-03-01T07:03:00	Geoff Wing	GW1	50000	5000000						3	0.068
2010-07-11T02:42:00	maxybo	CB418E216	50000	5000000						3	0.068
2011-01-05T08:05:00	arnaud	Arnaud-PC	50000	5000000						3	0.068
2011-04-06T20:40:00	Jocelyn Larouche	Manual testing	50000	5000000						1	0.023
2011-09-18T19:59:00	arnaud	ARNAUD	50000	5000000						3	0.068
2011-12-23T16:29:00	Bruce	GTLT-4540GZ			7117465925768940050849	72.592		1		1	-
2012-01-14T14:42:00	Jocelyn Larouche	Manual testing			48906018579232452916765941217	95.304		1		1	-
2015-12-18T14:15:11	TJAOI	Manual testing	50000	5000000						63	1.438
2016-08-19T13:46:39	TJAOI	Manual testing	50000	5000000						90	2.054
2017-11-24T16:07:09	TJAOI	Manual testing	50000	5000000						91	2.077
2020-04-20T10:33:34	TJAOI	Manual testing	250000	25000000						44	5.022

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-28T00:54:59

Oliver Kruse

GTX-2

7117465925768940050849

48906018579232452916765941217

92CD7D11A5987A20

2017-10-05T21:23:50

Oliver Kruse

Manual testing

7117465925768940050849

48906018579232452916765941217

92CD7D11A5987A__

2017-10-13T22:19:26

Oliver Kruse

Threadripper

92CD7D11A5987A__

2017-12-17T09:30:24

ATH

ec2-1xf

7117465925768940050849

48906018579232452916765941217

92CD7D11A5987A__

2020-04-21T05:40:38

Oliver Kruse

AddPrpType5

7117465925768940050849

48906018579232452916765941217

8A4F0BAF1AA02E__

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 447864 (P-1 stage 1)

B1 = 65537, B2 = 6553700 (P-1 stage 2)

B1 = 268718 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65537 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

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0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront