M1030889 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	28.8236	70.1493%	10000000	1000000000	2.7478	11.6425%	31.5714	73.6246%	3.4754%
PrimeNet	2⁵⁶	0.0093	64.2857%	4500	60000	0.0003	1.9513%	0.0096	64.9826%	0.6969%
GPU72	2⁶⁰	0.1490	66.6667%	4500	18000	0.0002	0.6149%	0.1492	66.8716%	0.2050%
Difference	+7	+28.6746	+3.4826%	+9995500	+999982000	+2.7476	+11.0276%	+31.4222	+6.7530%	+6.7530%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1030889	1310147630585009289724111	25	80.116	635445538067148495 3 × 5 × 89 × 983197 × 484123901	2009-10-19	983197	484123901	367,862	1.1735	2.1172

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-22T00:00:00	Jocelyn Larouche	v4_computers	10000	120000		-		-	-	0.001	-	-	0.524%
2002-11-09T00:00:00	Jocelyn Larouche	v4_computers	11000	11000		-		-	-	0.000	-	-	0.148%
2002-11-09T00:00:00	Jocelyn Larouche	v4_computers	15000	15000		-		-	-	0.001	-	-	0.198%
2002-11-16T00:00:00	Jocelyn Larouche	v4_computers	20000	20000		-		-	-	0.001	-	-	0.255%
2016-03-17T18:59:21	alpertron	Manual testing	300000	10000000	12	-		-	-	0.036	-	-	4.080%
2021-07-23T18:44:46	ViliamF	3	10000000	1000000000		-	skipped known factor: 1310147630585009289724111	-	-	2.748	-	-	11.643%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.019	-	-
2003-02-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.037	-	-
2022-03-07T17:30:26	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.112	-	-
2009-02-15T03:03:00	Sturle Sunde	danzi.ifi	2⁶⁰	2⁶¹		-	-	0.149	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.414 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:	17.414 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	14.731	0.000%
25	50000	1.613	19.937%
30	250000	0.131	87.717%
35	1000000	0.009	99.131%

ECM Summary

B1	B2	factor	curves	GHz-days
		1310147630585009289724111	1	0.00000e+0
50000	5000000		279	9.74
250000	25000000		44	7.678

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-21T21:45:00	Chad Davis	Bayes	50000	5000000						1	0.035
2008-02-18T17:12:00	Steve Scott	Abit-4	50000	5000000						3	0.105
2008-11-29T19:19:00	Sturle Sunde	v21	50000	5000000						3	0.105
2009-03-20T06:17:00	Sturle Sunde	v21	50000	5000000						3	0.105
2009-07-30T03:32:00	maxybo	CB418E216	50000	5000000						3	0.105
2009-10-19T13:59:00	SubPrime	c2d0			1310147630585009289724111	80.116		1		1	-
2016-12-23T15:38:03	TJAOI	Manual testing	50000	5000000						85	2.966
2017-05-05T18:39:50	TJAOI	Manual testing	50000	5000000						90	3.141
2017-10-20T14:53:59	TJAOI	Manual testing	50000	5000000						91	3.176
2020-03-16T11:27:16	TJAOI	Manual testing	250000	25000000						44	7.678

date	userid	compid	res64	spent (GHz-days)
2002-02-03T00:00:00	ANONYMOUS	v4_computers	B0665341BEDA6C91	0.031

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-28T18:32:24

Oliver Kruse

GTX-2

1310147630585009289724111

0E474D8C8C239B__

2017-10-15T19:46:16

Oliver Kruse

GTX-0

1310147630585009289724111

0E474D8C8C239B__

2017-12-27T19:24:41

ATH

ec2-1xf

1310147630585009289724111

0E474D8C8C239B__

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 = 10000000, B2 = 1000000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 300000, B2 = 10000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

B1 = 10000, B2 = 120000 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

B1 = 11000 (P-1 stage 1)

B1 = 10000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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