M17 851 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,664.5520	77.6119%	400000000	400000000	0.1706	7.9972%	1,664.7226	79.4023%
Target	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.5072%	0.0001	66.4229%
Difference	+23	+1,664.5519	+11.7028%	+399999500	+399990000	+0.1706	+6.4900%	+1,664.7225	+12.9795%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17851	2142121	7	21.031	60 2² × 3 × 5	-	4	5	1.585e-11	1.729e-9	3.472e-9
17851	3102111079	10	31.531	86889 3 × 11 × 2633	2008-08-26	11	2633	2.896e-8	6.563e-8	1.144e-7
17851	28017501521	11	34.706	784760 2³ × 5 × 23 × 853	2008-08-26	23	853	2.387e-7	2.910e-8	3.717e-8
17851	739588162786265201	18	59.359	20715594722600 2³ × 5² × 103577973613	2008-08-29	25	103577973613	6.8907	2.4071	4.4957
17851	108511337238951157153	21	66.556	3039362983556976 2⁴ × 3 × 14447 × 28559 × 153469	2008-08-26	28559	153469	1,399.2	1.508e-5	2.479e-5

exponent	prime factors	composite factor	digits	bits*
17851	2142121 3102111079	6645097286658559	16	52.561
17851	2142121 28017501521	60016878375666041	17	55.736
17851	3102111079 28017501521	86913401874193451159	20	66.236
17851	2142121 739588162786265201	1584287334855877198631321	25	80.390
17851	2142121 3102111079 28017501521	186179023336149149790168239	27	87.267
17851	2142121 108511337238951157153	232444414237639291711741513	27	87.587
17851	3102111079 739588162786265201	2294284633676528789054261879	28	90.890
17851	28017501521 739588162786265201	20721412475777780866926870721	29	94.065
17851	3102111079 108511337238951157153	336614221446055654944191398087	30	98.087
17851	28017501521 108511337238951157153	3040216556138057985978887529713	31	101.262
17851	2142121 3102111079 739588162786265201	4914635293775799526137704510505359	34	111.921
17851	2142121 28017501521 739588162786265201	44387772814025575728442255235739241	35	115.096
17851	2142121 3102111079 108511337238951157153	721068392658246185624706221861522527	36	119.118
17851	2142121 28017501521 108511337238951157153	6512511729451012910983080534036341273	37	122.293
17851	3102111079 28017501521 739588162786265201	64280123213639073169328070346414817959	38	125.596
17851	739588162786265201 108511337238951157153	80253700550036729511523139394086132753	38	125.916
17851	3102111079 28017501521 108511337238951157153	9431089461355095131849533666017638990327	40	132.793
17851	2142121 3102111079 28017501521 739588162786265201	137695801818523745056554215378532456261151039	45	146.626
17851	2142121 739588162786265201 108511337238951157153	171913137275945229057953458881999180778989113	45	146.947
17851	2142121 3102111079 28017501521 108511337238951157153	20202534788047437738932654906183370851598263567	47	153.823
17851	3102111079 739588162786265201 108511337238951157153	248955893607017332474622188879255939493346070487	48	157.447
17851	28017501521 739588162786265201 108511337238951157153	2248508177226532605694965145000503242812185417313	49	160.622
17851	2142121 3102111079 739588162786265201 108511337238951157153	53329364776935757525787015786422061236342597785768 2927	54	178.477
17851	2142121 28017501521 739588162786265201 108511337238951157153	48165765851086772518439044313736230069960814383199 40873	55	181.652
17851	3102111079 28017501521 739588162786265201 108511337238951157153	69751221277965222888810898708249025701031074992488 95710727	58	192.152
17851	2142121 3102111079 28017501521 739588162786265201 108511337238951157153	14941555587517614121980249115181311118371838739398 543728758231967	65	213.183

	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: 2142121 skipped known factor: 3102111079 skipped known factor: 28017501521 skipped known factor: 108511337238951157153	-	-	0.171	-	-	7.997%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	28017501521	34.706	11	1.10449e-7	0.000	2.98602e-6
2008-08-26	ANONYMOUS	Manual testing	?	?	3102111079	31.531	10	1.29354e-8	0.000	3.50266e-7

ECM factoring results:

Total ECM effort:	22.128 GHz-days
Estimated T-Level:	36.240

Digits	B1	Complete	FacMiss
20	11000	422.503	0.000%
25	50000	90.870	0.000%
30	250000	15.358	0.000%
35	1000000	2.131	11.870%
40	3000000	0.248	78.038%
45	11000000	0.025	97.517%
50	44000000	0.002	99.776%

ECM Summary

B1	B2	factor	curves	GHz-days
		739588162786265201	1	0.00000e+0
		108511337238951157153	1	0.00000e+0
50000	5000000		68	0.021
250000	25000000		467	0.717
1000000	100000000		1,451	8.906
3000000	300000000		678	12.48

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-26	ANONYMOUS	Manual testing			108511337238951157153	66.556		1		1	-
2008-08-29	ANONYMOUS	Manual testing			739588162786265201	59.359		1		1	-
2009-04-06	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.015
2009-05-31	Matthias Wurtinger	WUR_E6600	1000000	100000000						30	0.184
2009-06-30	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-30	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-30	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-01	Rob_Dee	twopc	50000	5000000						6	0.002
2009-07-03	Rob_Dee	twopc	250000	25000000						6	0.009
2011-04-05	James Hintz	17_051310	250000	25000000						11	0.017
2014-09-03	James Hintz	08_04_2014	1000000	100000000						11	0.068
2014-09-04	James Hintz	08_04_2014	250000	25000000						450	0.691
2017-10-03	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-03	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-04	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-05	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-06	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-06	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-07	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-08	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-09	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-09	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-10	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-11-14	James Hintz	10_12_2017	1000000	100000000						1332	8.176
2019-08-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-27	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-04	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-07	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-10	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-14	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-20	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-27	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-09	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-11-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2022-03-03	nordi	sweet16_ccx3	3000000	300000000						600	11.05

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