M12 437 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,389.1547	79.1045%	100000000	10000000000	0.1828	12.2305%	2,389.3376	81.6601%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3510%	0.0002	68.6117%
Difference	+23	+2,389.1546	+10.9227%	+99999500	+9999990000	+0.1828	+10.8794%	+2,389.3374	+13.0484%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12437	99497	5	16.602	4 2²	-	4	4	7.026e-13	1.144e-9	2.328e-9
12437	596977	6	19.187	24 2³ × 3	2008-08-26	8	8	5.645e-12	2.288e-9	4.656e-9
12437	35512186943	11	35.048	1427683 83 × 103 × 167	2008-08-26	103	167	3.762e-7	3.045e-8	5.995e-8
12437	3132786574769	13	41.511	125946232 2³ × 53 × 139 × 2137	2008-08-26	139	2137	2.566e-5	7.088e-8	8.090e-8
12437	4947852234297943	16	52.136	198916629183 3² × 9049 × 2442463	2008-08-26	9049	2442463	0.0696	4.050e-5	7.108e-5
12437	21745607116345964051719	23	74.203	874230405899572407 3 × 7 × 103 × 937 × 431349994597	2008-08-29	937	431349994597	317,408	6.7207	12.552

exponent	prime factors	composite factor	digits	bits*
12437	99497 596977	59397420569	11	35.790
12437	99497 35512186943	3533356064267671	16	51.650
12437	596977 35512186943	21199958824671311	17	54.235
12437	99497 3132786574769	311702865829791193	18	58.113
12437	596977 3132786574769	1870201531045873313	19	60.698
12437	99497 4947852234297943	492296453755942434671	21	68.738
12437	99497 596977 35512186943	2109332303178321430567	22	70.837
12437	596977 4947852234297943	2953753983274483118311	22	71.323
12437	35512186943 3132786574769	111252102495717375041167	24	76.558
12437	99497 596977 3132786574769	186079441734471257023561	24	77.300
12437	35512186943 4947852234297943	175709053510728788176358249	27	87.183
12437	99497 596977 4947852234297943	293889660073861246822589567	27	87.925
12437	99497 21745607116345964051719	2163622671255074385253885343	28	90.806
12437	99497 35512186943 3132786574769	11069250442016391664470992999	29	93.161
12437	596977 21745607116345964051719	12981627299494864581703053463	29	93.390
12437	3132786574769 4947852234297943	15500565053549396514392400167	29	93.646
12437	596977 35512186943 3132786574769	66414946391585871399950752159	29	95.745
12437	99497 35512186943 4947852234297943	17482523697156982237183116700753	32	103.786
12437	596977 35512186943 4947852234297943	104894263637674339779157818413273	33	106.371
12437	35512186943 21745607116345964051719	772234065104709026468202848505017	33	109.251
12437	99497 596977 21745607116345964051719	1291632971417840541285708710408111	34	109.993
12437	99497 3132786574769 4947852234297943	1542259721133004304992500639415999	34	110.249
12437	99497 596977 35512186943 3132786574769	6608087921123619446680899987564023	34	112.348
12437	596977 3132786574769 4947852234297943	9253480823972758082972431874495159	34	112.834
12437	3132786574769 21745607116345964051719	68124346034289863992781971176477911	35	115.714
12437	99497 596977 35512186943 4947852234297943	10436664549157683785006865458665423681	38	122.973
12437	99497 35512186943 21745607116345964051719	76834972775723234006506778817703676449	38	125.853
12437	4947852234297943 21745607116345964051719	107594050756777627571247011257707314017	39	126.339
12437	596977 35512186943 21745607116345964051719	461005975484013880493908331891979533609	39	128.438
12437	35512186943 3132786574769 4947852234297943	550458963903778974703935504788968419481	39	128.694
12437	99497 596977 3132786574769 4947852234297943	920693581542817510981508054216644835023	39	129.436
12437	99497 3132786574769 21745607116345964051719	6778168057373738597689827786146022710767	40	132.316
12437	596977 3132786574769 21745607116345964051719	40668667722512260136819002807020253875047	41	134.901
12437	99497 4947852234297943 21745607116345964051719	10705285268147103610456363879108104622749449	44	142.941
12437	99497 596977 35512186943 21745607116345964051719	45868711542732929067502397298256287655494673	44	145.040
12437	99497 35512186943 3132786574769 4947852234297943	54769015531534296646117470919987990833101057	44	145.296
12437	596977 4947852234297943 21745607116345964051719	64231173638628837774600327039592339199926609	44	145.526
12437	596977 35512186943 3132786574769 4947852234297943	328611340894386260981831305842404000156508937	45	147.881
12437	35512186943 3132786574769 21745607116345964051719	2419244511739322338361717763059121219742116073	46	150.761
12437	99497 596977 3132786574769 21745607116345964051719	4046410432386802346833080322290094199805551359	46	151.503
12437	35512186943 4947852234297943 21745607116345964051719	3820900044429317734590154915413727684950108280031	49	161.386
12437	99497 596977 4947852234297943 21745607116345964051719	6390809083522653472059408739458318973375097815673	49	162.129
12437	99497 596977 35512186943 3132786574769 4947852234297943	32695842584968749808909269437401670803572169704689	50	164.484
12437	99497 35512186943 3132786574769 21745607116345964051719	24070757118452735469997583227109338400068132291528 1	51	167.364
12437	3132786574769 4947852234297943 21745607116345964051719	33706919773584731619073686090806127903123653223707 3	51	167.849
12437	596977 35512186943 3132786574769 21745607116345964051719	14442333308846054315881631850377450083979892269113 21	52	169.949
12437	99497 35512186943 4947852234297943 21745607116345964051719	38016809172058382663851664361891966346948092353824 4407	54	177.989
12437	596977 35512186943 4947852234297943 21745607116345964051719	22809894458232808132424269109389409121784607906880 66287	55	180.574
12437	99497 3132786574769 4947852234297943 21745607116345964051719	33537373967123600419029745449769373079770941247992 052281	56	184.452
12437	99497 596977 35512186943 3132786574769 21745607116345964051719	14369688372302558662672747242170051510057473410999 5705537	57	186.551
12437	596977 3132786574769 4947852234297943 21745607116345964051719	20122255845675292327759751901431169817223049130529 1128321	57	187.037
12437	99497 596977 35512186943 4947852234297943 21745607116345964051719	22695160689107897107518175035769180393902031329109 0531357639	60	197.176
12437	35512186943 3132786574769 4947852234297943 21745607116345964051719	11970064362722442225070278049488060876656957669253 982371137839	62	202.897
12437	99497 596977 3132786574769 4947852234297943 21745607116345964051719	20021040898771545607351120349366971033042417193402 551394554537	62	203.639
12437	99497 35512186943 3132786574769 4947852234297943 21745607116345964051719	11909854938977948340678174550899135930447373172177 63483981101566983	67	219.499
12437	596977 35512186943 3132786574769 4947852234297943 21745607116345964051719	71458531130649553921957793791492341179640406185182 34633974753712703	67	222.084
12437	99497 596977 35512186943 3132786574769 4947852234297943 21745607116345964051719	71099094719062386665730346088721134703506814942070 8791376586070152810391	72	238.687

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-09	kkmrkkblmbrbk	Manual testing	100000000	10000000000	12	-	skipped known factor: 99497 skipped known factor: 596977 skipped known factor: 35512186943 skipped known factor: 3132786574769 skipped known factor: 4947852234297943	-	-	0.183	-	-	12.230%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 99497 skipped known factor: 596977 skipped known factor: 35512186943 skipped known factor: 3132786574769 skipped known factor: 4947852234297943	-	-	0.114	-	-	7.762%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	3132786574769	41.511	13	2.10055e-6	0.000	0.000
2008-08-26	ANONYMOUS	Manual testing	?	?	35512186943	35.048	11	8.20528e-9	0.000	6.45283e-7
2008-08-26	ANONYMOUS	Manual testing	?	?	4947852234297943	52.136	16	0.021	5.19671e-6	0.045
2008-08-26	ANONYMOUS	Manual testing	?	?	596977	19.187	6	2.91734e-14	0.000	2.30302e-12

ECM factoring results:

Total ECM effort:	41.272 GHz-days
Estimated T-Level:	38.419

Digits	B1	Complete	FacMiss
20	11000	499.619	0.000%
25	50000	130.483	0.000%
30	250000	26.351	0.000%
35	1000000	4.522	1.087%
40	3000000	0.684	50.468%
45	11000000	0.092	91.227%
50	44000000	0.011	98.891%
55	110000000	0.001	99.881%

ECM Summary

B1	B2	factor	curves	GHz-days
		21745607116345964051719	1	0.00000e+0
50000	5000000		156	0.032
100000	10000000		1	0.000
200000	20000000		1	0.001
250000	25000000		130	0.134
400000	40000000		1	0.002
500000	50000000		25	0.051
1000000	100000000		1,517	6.243
3000000	300000000		253	3.123
11000000	1100000000		700	31.69

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			21745607116345964051719	74.203		1		1	-
2009-04-06	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-07	Rob_Dee	twopc	50000	5000000						80	0.016
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
2009-07-21	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
2009-07-26	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
2009-08-12	Rob_Dee	twopc	500000	50000000						5	0.010
2009-09-03	Rob_Dee	twopc	500000	50000000						5	0.010
2009-12-31	Matthias Wurtinger	AMD_Funzel	1000000	100000000						100	0.412
2010-02-10	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	50000	5000000						4	0.001
2010-02-11	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	100000	10000000						1	0.000
2010-02-11	Rob_Dee	twopc	200000	20000000						1	0.001
2010-02-12	Rob_Dee	twopc	400000	40000000						1	0.002
2010-02-12	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-12	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-13	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-14	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-15	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-16	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-17	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-03-25	James Hintz	NEW_OMFG	1000000	100000000						30	0.123
2010-04-02	James Hintz	02_122109	1000000	100000000						100	0.412
2011-04-12	James Hintz	17_051310	1000000	100000000						11	0.045
2017-03-29	kkmrkkblmbrbk	kel1	1000000	100000000						1270	5.226
2019-01-23	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-01-25	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-01-27	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-01-29	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-01-30	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-03	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-07	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-10	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-12	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-16	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-25	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-27	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-06	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-08	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-10	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-13	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-15	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-20	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-28	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-30	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-01	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-03	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-06	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-10	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-22	storm5510	HP-Z220-CMT	3000000	300000000						3	0.037
2019-04-24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-30	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-05-02	nordi	nordiputer	3000000	300000000						100	1.235
2019-05-04	nordi	nordiputer	11000000	1100000000						100	4.527
2021-10-20	nordi	sweet16	11000000	1100000000						600	27.16

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