M12 959 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,292.9175	79.1045%	400000000	400000000	0.1144	7.7883%	2,293.0319	80.7319%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3680%	0.0002	68.6171%
Difference	+23	+2,292.9173	+10.9227%	+399999500	+399990000	+0.1144	+6.4203%	+2,293.0317	+12.1148%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12959	25919	5	14.662	1 1	-	1	1	1.684e-13	2.860e-10	5.820e-10
12959	570507017	9	29.088	22012 2² × 5503	2008-08-26	4	5503	9.738e-9	8.682e-8	1.601e-7
12959	636649753	9	29.246	24564 2² × 3 × 23 × 89	2008-08-26	23	89	7.268e-9	7.606e-9	1.339e-8
12959	163305952996107319	18	57.180	6300870167301 3 × 79 × 16097 × 1651609	2008-08-26	16097	1651609	2.2771	3.009e-5	4.806e-5
12959	9475701126832300471	19	63.039	365603099268165 3 × 5 × 11 × 19 × 53 × 2689 × 818287	2008-08-26	2689	818287	193.50	1.348e-5	2.381e-5

exponent	prime factors	composite factor	digits	bits*
12959	25919 570507017	14786971373623	14	43.749
12959	25919 636649753	16501324948007	14	43.908
12959	570507017 636649753	363213151457816801	18	58.334
12959	25919 163305952996107319	4232726995706105601161	22	71.842
12959	25919 570507017 636649753	9414121672635153665119	22	72.995
12959	25919 9475701126832300471	245600697506366395907849	24	77.701
12959	570507017 163305952996107319	93167192102151399174557423	26	86.268
12959	636649753 163305952996107319	103968694638401334602842207	27	86.426
12959	570507017 9475701126832300471	5405953983852634400957905007	28	92.127
12959	636649753 9475701126832300471	6032702781899605767283933663	28	92.285
12959	25919 570507017 163305952996107319	2414800452095662115205353846737	31	100.930
12959	25919 636649753 163305952996107319	2694764596332724191571067163233	31	101.088
12959	25919 570507017 9475701126832300471	140116921307476431038427939876433	33	106.788
12959	25919 636649753 9475701126832300471	156361623404055881882232276611297	33	106.947
12959	570507017 636649753 163305952996107319	59314869839538239053086387237266519	35	115.514
12959	163305952996107319 9475701126832300471	1547438402823636817860905176770247249	37	120.219
12959	570507017 636649753 9475701126832300471	3441699268549145679769153186104013271	37	121.373
12959	25919 570507017 636649753 163305952996107319	1537382111370991618016946070802710905961	40	130.176
12959	25919 163305952996107319 9475701126832300471	40108055962785842682136801276708038446831	41	134.881
12959	25919 570507017 636649753 9475701126832300471	89205403341525306873936681430629919971049	41	136.034
12959	570507017 163305952996107319 9475701126832300471	882824467186157418049197333319051452379446233	45	149.307
12959	636649753 163305952996107319 9475701126832300471	985176276940382882652851269147199248824779497	45	149.465
12959	25919 570507017 163305952996107319 9475701126832300471	22881927364998014118417145682296494594222866913127	50	163.969
12959	25919 636649753 163305952996107319 9475701126832300471	25534783922017783935479252045026257330289459782743	50	164.127
12959	570507017 636649753 163305952996107319 9475701126832300471	56204997897642372522013922410583277735166570651623 0449	54	178.553
12959	25919 570507017 636649753 163305952996107319 9475701126832300471	14567773405089926533980788549599079756177823447194 177007631	59	193.215

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 25919 skipped known factor: 570507017 skipped known factor: 636649753 skipped known factor: 163305952996107319 skipped known factor: 9475701126832300471	-	-	0.114	-	-	7.788%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	570507017	29.088	9	4.21930e-9	0.000	3.07457e-7
2008-08-26	ANONYMOUS	Manual testing	?	?	636649753	29.246	9	1.74888e-9	0.000	1.27440e-7

ECM factoring results:

Total ECM effort:	24.739 GHz-days
Estimated T-Level:	37.052

Digits	B1	Complete	FacMiss
20	11000	510.902	0.000%
25	50000	115.202	0.000%
30	250000	21.509	0.000%
35	1000000	3.243	3.904%
40	3000000	0.410	66.342%
45	11000000	0.044	95.648%
50	44000000	0.004	99.575%

ECM Summary

B1	B2	factor	curves	GHz-days
		163305952996107319	1	0.00000e+0
		9475701126832300471	1	0.00000e+0
50000	5000000		148	0.030
250000	25000000		141	0.145
500000	50000000		25	0.051
1000000	100000000		916	3.769
3000000	300000000		433	5.345
3000000	528000000		1,000	15.40

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

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26	ANONYMOUS	Manual testing			9475701126832300471	63.039		1		1	-
2008-08-26	ANONYMOUS	Manual testing			163305952996107319	57.180		1		1	-
2009-04-07	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-08	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
2009-07-19	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21	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
2009-07-27	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-30	Rob_Dee	twopc	500000	50000000						5	0.010
2009-07-31	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-05	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-12	Rob_Dee	twopc	500000	50000000						5	0.010
2009-09-04	Rob_Dee	twopc	500000	50000000						5	0.010
2011-04-11	James Hintz	17_051310	250000	25000000						11	0.011
2012-10-08	Matthias Wurtinger	i5-750	1000000	100000000						250	1.029
2012-10-08	Matthias Wurtinger	i5-750	1000000	100000000						250	1.029
2012-10-09	Matthias Wurtinger	i5-750	3000000	300000000						100	1.235
2017-04-23	kkmrkkblmbrbk	c4.large	1000000	100000000						416	1.712
2019-02-07	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-13	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-15	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-20	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-02	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-06	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-09	Niels_Mache_Nextcloud	SuperDry-JP	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-X	3000000	300000000						3	0.037
2019-03-13	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-19	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-20	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-23	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-25	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-29	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-31	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-04	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-JP	3000000	300000000						3	0.037
2019-04-10	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-19	storm5510	HP-Z220-CMT	3000000	300000000						3	0.037
2019-04-22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-24	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-26	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-01	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-05-03	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-06	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-11	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-31	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-07	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-25	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-29	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-07-11	Niels_Mache_Nextcloud		3000000	300000000						3	0.037
2019-07-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-07-26	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-07-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-02	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-11	Charli Deepak.A	Taiwan	3000000	300000000						3	0.037
2019-08-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-27	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-08	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-13	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-15	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-11-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2021-09-08	nordi	sweet16	3000000	528000000						1000	15.40