M12 011 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,473.8921	79.1045%	100000000	10000000000	0.1828	12.1996%	2,474.0749	81.6537%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3367%	0.0002	68.6071%
Difference	+23	+2,473.8919	+10.9227%	+99999500	+9999990000	+0.1828	+10.8629%	+2,474.0747	+13.0465%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12011	24023	5	14.552	1 1	-	1	1	1.817e-13	2.860e-10	5.820e-10
12011	838097312281	12	39.608	34888740 2² × 3 × 5 × 29 × 20051	2008-08-26	29	20051	1.022e-5	3.202e-7	5.836e-7
12011	45176405353463311	17	55.326	1880626315605 3 × 5 × 419 × 299224553	2008-08-29	419	299224553	0.4294	0.0047	0.0087
12011	7302598550108770364567	22	72.629	303996276334558753 11 × 131437 × 210260620079	2008-08-29	131437	210260620079	83,983	3.2760	6.1186
12011	56827346588946755160694429377759527951569	41	135.384	2365637606733275962063709490373804344 2³ × 3² × 13 × 29 × 527381621944481 × 165253009514782471	2014-07-07	527381621944481	165253009514782471	1.301e+13	2,717,333	4,808,886

exponent	prime factors	composite factor	digits	bits*
12011	24023 838097312281	20133611732926463	17	54.160
12011	24023 45176405353463311	1085272785806249120153	22	69.879
12011	24023 7302598550108770364567	175430324969262990467993041	27	87.181
12011	838097312281 45176405353463311	37862223905254580744043222391	29	94.935
12011	24023 838097312281 45176405353463311	909564204875930793214150331498993	33	109.487
12011	838097312281 7302598550108770364567	6120288217513287942749427216347327	34	112.237
12011	24023 838097312281 7302598550108770364567	147027683849321716248669490018311836521	39	126.789
12011	45176405353463311 7302598550108770364567	329905152233327266466921824833528901337	39	127.955
12011	24023 45176405353463311 7302598550108770364567	7925311472101220922334862997975864796818751	43	142.507
12011	24023 56827346588946755160694429377759527951569	1365163347106267899225362276941917139980542087	46	149.936
12011	838097312281 45176405353463311 7302598550108770364567	27649262139440572661979988018432045246307452741969 7	51	167.564
12011	838097312281 56827346588946755160694429377759527951569	47626846440257128802794167515029227613749272436918 889	53	174.992
12011	24023 838097312281 45176405353463311 7302598550108770364567	66421822437578087705874525216679302295204393722033 81031	55	182.116
12011	24023 838097312281 56827346588946755160694429377759527951569	11441397320342970052295242862135471349650987717521 02470447	58	189.544
12011	45176405353463311 56827346588946755160694429377759527951569	25672552446640092152490477046189524944674540410036 26384959	58	190.710
12011	24023 45176405353463311 56827346588946755160694429377759527951569	61673172742563493377927873008061095774591648427030 116645870057	62	205.262
12011	7302598550108770364567 56827346588946755160694429377759527951569	41498729880697115146954715941848455282011718844189 9986849655623	63	208.013
12011	24023 7302598550108770364567 56827346588946755160694429377759527951569	99692398792398679717529314107102544123976752179397 63384089277031329	67	222.565
12011	838097312281 45176405353463311 56827346588946755160694429377759527951569	21516097204922071901940428812858964748667937541940 31641008434144381479	70	230.318
12011	24023 838097312281 45176405353463311 56827346588946755160694429377759527951569	51688120315384293330031492137131091015724986357003 222111945613450476270017	74	244.871
12011	838097312281 7302598550108770364567 56827346588946755160694429377759527951569	34779973976087475987293121772881013862865639450060 6777103705622066738606063	75	247.621
12011	24023 838097312281 7302598550108770364567 56827346588946755160694429377759527951569	83551931482754943564274266434992059602762125650880 76606362320158909261533451449	79	262.173
12011	45176405353463311 7302598550108770364567 56827346588946755160694429377759527951569	18747634427442530221362980720397677283147890894665 601610099617017911050715347753	80	263.339
12011	24023 45176405353463311 7302598550108770364567 56827346588946755160694429377759527951569	45037442185045190350780288584611340137306178296255 1747479423099621277171334799070319	84	277.891
12011	838097312281 45176405353463311 7302598550108770364567 56827346588946755160694429377759527951569	15712342025266328887114430110276114484481457573853 073189688395127378699841661634185552654593	92	302.947
12011	24023 838097312281 45176405353463311 7302598550108770364567 56827346588946755160694429377759527951569	37745759247297301885514995453916309826069805529667 2377235884316145018506296237438039531421287639	96	317.499

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-08	kkmrkkblmbrbk	Manual testing	100000000	10000000000	12	-	skipped known factor: 24023 skipped known factor: 838097312281 skipped known factor: 45176405353463311	-	-	0.183	-	-	12.200%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 24023 skipped known factor: 838097312281 skipped known factor: 45176405353463311	-	-	0.114	-	-	7.739%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	838097312281	39.608	12	4.11782e-6	0.000	0.000

ECM factoring results:

Total ECM effort:	165.942 GHz-days
Estimated T-Level:	41.878

Digits	B1	Complete	FacMiss
20	11000	1,679.910	0.000%
25	50000	482.800	0.000%
30	250000	103.647	0.000%
35	1000000	18.382	0.000%
40	3000000	2.805	6.052%
45	11000000	0.376	68.682%
50	44000000	0.045	95.604%
55	110000000	0.005	99.518%

ECM Summary

B1	B2	factor	curves	GHz-days
		45176405353463311	1	0.00000e+0
		7302598550108770364567	1	0.00000e+0
		56827346588946755160694429377759527951569	1	0.00000e+0
50000	5000000		305	0.063
250000	25000000		115	0.118
500000	50000000		25	0.051
1000000	100000000		1,764	7.259
3000000	300000000		3,683	45.47
11000000	1100000000		2,496	113.0

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			7302598550108770364567	72.629		1		1	-
2008-08-29	ANONYMOUS	Manual testing			45176405353463311	55.326		1		1	-
2009-04-06	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-06	Rob_Dee	twopc	50000	5000000						230	0.047
2009-07-09	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-11	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-13	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-14	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-15	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-16	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-17	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-18	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-20	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-22	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-23	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-24	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-29	Rob_Dee	twopc	500000	50000000						5	0.010
2009-07-30	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-04	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-11	Rob_Dee	twopc	500000	50000000						5	0.010
2009-09-03	Rob_Dee	twopc	500000	50000000						5	0.010
2010-01-12	Matthias Wurtinger	WUR_E6600	1000000	100000000						500	2.058
2010-02-05	Rob_Dee	twopc	250000	25000000						3	0.003
2010-02-05	Rob_Dee	twopc	250000	25000000						3	0.003
2010-02-05	Rob_Dee	twopc	250000	25000000						3	0.003
2010-02-06	Rob_Dee	twopc	250000	25000000						3	0.003
2010-02-06	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-06	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-06	Rob_Dee	twopc	250000	25000000						3	0.003
2010-02-06	Rob_Dee	twopc	50000	5000000						4	0.001
2010-02-06	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-06	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-06	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-06	Rob_Dee	twopc	1000000	100000000						1	0.004
2011-04-13	James Hintz	17_051310	1000000	100000000						11	0.045
2013-06-25	BloodIce	URM2	1000000	100000000						300	1.235
2013-06-26	BloodIce	URM2	1000000	100000000						700	2.881
2013-06-27	BloodIce	URM2	3000000	300000000						100	1.235
2013-07-27	BloodIce	Mjolnir4	1000000	100000000						250	1.029
2014-06-09	BloodIce	URM2	3000000	300000000						575	7.098
2014-06-27	BloodIce	URM2	3000000	300000000						906	11.18
2014-07-05	BloodIce	URM2	3000000	300000000						1075	13.27
2014-07-07	BloodIce	URM2			56827346588946755160694429377759527951569	135.384		1		1	-
2014-07-08	BloodIce	URM2	3000000	300000000						13	0.160
2014-09-12	BloodIce	URM2	3000000	300000000						1011	12.48
2014-09-23	BloodIce	NEDDylator	3000000	300000000						3	0.037
2014-09-29	BloodIce	URM2	11000000	1100000000						919	41.60
2015-01-19	BloodIce	URM2	11000000	1100000000						1577	71.38

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

D787FD5B94062F__

2017-09-21

Oliver Kruse

Manual testing

D787FD5B94062F__

2017-10-02

kkmrkkblmbrbk

Manual testing

24023

838097312281

45176405353463311

7302598550108770364567

56827346588946755160694429377759527951569

D787FD5B94062F__

2017-12-07

ATH

Manual testing

24023

838097312281

45176405353463311

7302598550108770364567

56827346588946755160694429377759527951569

D787FD5B94062F__

2020-04-17

Oliver Kruse

Manual testing

24023

838097312281

45176405353463311

7302598550108770364567

56827346588946755160694429377759527951569

59CA4AAAE5362D__

2022-05-12

Jorge Coveiro

Manual testing

24023

59CA4AAAE5362D6D

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