M13 679 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2,172.2288	79.1045%	1000000000	248016220902450	3,864.5009	28.0900%	6,036.7297	84.9740%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3907%	0.0002	68.6243%
Difference	+23	+2,172.2286	+10.9227%	+999999500	+248016220892450	+3,864.5009	+26.6993%	+6,036.7295	+16.3497%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13679	109433	6	16.740	4 2²	-	4	4	6.388e-13	1.144e-9	2.328e-9
13679	246223	6	17.910	9 3²	2008-08-26	9	9	1.279e-12	2.574e-9	5.238e-9
13679	100157639	9	26.578	3661 7 × 523	2008-08-26	7	523	1.171e-9	1.004e-8	1.518e-8
13679	312975521	9	28.221	11440 2⁴ × 5 × 11 × 13	2008-08-26	16	16	3.859e-9	4.576e-9	9.312e-9
13679	19705922417816082121	20	64.095	720298355794140 2² × 3 × 5 × 12004972596569	2008-08-29	5	12004972596569	363.08	187.04	349.35

exponent	prime factors	composite factor	digits	bits*
13679	109433 246223	26944921559	11	34.649
13679	109433 100157639	10960550908687	14	43.317
13679	246223 100157639	24661114347497	14	44.487
13679	109433 312975521	34249850189593	14	44.961
13679	246223 312975521	77061771707183	14	46.131
13679	100157639 312975521	31346889248154919	17	54.799
13679	109433 246223 100157639	2698739726389639201	19	61.227
13679	109433 246223 312975521	8433100863232157239	19	62.871
13679	109433 100157639 312975521	3430384131093337250927	22	71.539
13679	246223 100157639 312975521	7718325111348448620937	22	72.709
13679	109433 19705922417816082121	2156478207948867314747393	25	80.835
13679	246223 19705922417816082121	4852051335481929188078983	25	82.005
13679	109433 246223 100157639 312975521	844639471910194777934998721	27	89.448
13679	100157639 19705922417816082121	1973698663685630321469472319	28	90.673
13679	312975521 19705922417816082121	6167471335501567983998760041	28	92.317
13679	109433 246223 19705922417816082121	530974533795793956839047346639	30	98.745
13679	109433 100157639 19705922417816082121	215987765863109582969368764285127	33	107.413
13679	246223 100157639 19705922417816082121	485970006068666954643177882801137	33	108.583
13679	109433 312975521 19705922417816082121	674924890657943089192936307566753	33	109.056
13679	246223 312975521 19705922417816082121	1518573294641202573724126693575143	34	110.226
13679	100157639 312975521 19705922417816082121	617719367564013930075305584634103199	36	118.894
13679	109433 246223 100157639 19705922417816082121	53181155674112430847466885248576825321	38	125.322
13679	109433 246223 312975521 19705922417816082121	166182031352470721250352356458008623919	39	126.966
13679	109433 100157639 312975521 19705922417816082121	67598883550632736409930916043263815376167	41	135.634
13679	246223 100157639 312975521 19705922417816082121	152096715839714201904931966965362791967377	42	136.804
13679	109433 246223 100157639 312975521 19705922417816082121	16644399904487444257062419940920546413365967241	47	153.544

	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: 109433 skipped known factor: 246223 skipped known factor: 100157639 skipped known factor: 312975521	-	-	0.114	-	-	7.823%
2022-03-03	Ethan O'Connor	Manual testing	1000000000	248016220902450		-	skipped known factor: 109433 skipped known factor: 246223 skipped known factor: 100157639 skipped known factor: 312975521 skipped known factor: 19705922417816082121	-	-	3,865	-	-	28.090%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	100157639	26.578	9	5.17901e-10	0.000	3.39816e-8
2008-08-26	ANONYMOUS	Manual testing	?	?	246223	17.910	6	2.48668e-15	0.000	1.63162e-13
2008-08-26	ANONYMOUS	Manual testing	?	?	312975521	28.221	9	1.24489e-9	0.000	8.16802e-8

ECM factoring results:

Total ECM effort:	25.344 GHz-days
Estimated T-Level:	37.068

Digits	B1	Complete	FacMiss
20	11000	600.267	0.000%
25	50000	129.537	0.000%
30	250000	23.117	0.000%
35	1000000	3.364	3.461%
40	3000000	0.414	66.127%
45	11000000	0.044	95.720%
50	44000000	0.004	99.591%

ECM Summary

B1	B2	factor	curves	GHz-days
		19705922417816082121	1	0.00000e+0
50000	5000000		148	0.030
250000	25000000		551	0.567
500000	50000000		10	0.021
1000000	100000000		1,421	5.848
3000000	300000000		282	3.481
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
2008-08-29	ANONYMOUS	Manual testing			19705922417816082121	64.095		1		1	-
2009-04-07	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-09	Rob_Dee	twopc	50000	5000000						80	0.016
2009-07-07	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-09	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-24	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-28	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-31	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-10	Rob_Dee	twopc	500000	50000000						5	0.010
2010-06-16	James Hintz	home2	250000	25000000						481	0.495
2010-12-31	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-09	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-12	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-15	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-18	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-21	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-24	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-27	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-31	James Hintz	newestmember	1000000	100000000						3	0.012
2011-03-31	James Hintz	newestmember	1000000	100000000						3	0.012
2011-04-10	James Hintz	17_051310	1000000	100000000						11	0.045
2017-06-03	kkmrkkblmbrbk	c4.large	1000000	100000000						1380	5.679
2019-02-28	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-02	Niels_Mache_Nextcloud	SuperDry-JP	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-JP	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-X	3000000	300000000						3	0.037
2019-03-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-19	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-26	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-30	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-06	Niels_Mache_Nextcloud	SuperDry3	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	SuperDry-X	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
2019-04-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-25	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-27	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-07	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-10	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-12	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-20	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
2019-06-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-05	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-08	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-16	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-20	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-07-06	Niels_Mache_Nextcloud		3000000	300000000						3	0.037
2019-07-20	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-07-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-17	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-19	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-31	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	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
2019-09-18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-20	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-08	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-13	Niels_Mache_Nextcloud	SuperDry3	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	SuperDry3	3000000	300000000						3	0.037
2019-10-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-28	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-09	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2021-09-01	nordi	sweet16	3000000	528000000						1000	15.40