M17 623 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,686.0874	77.6119%	6000000000	17613225783603450	409,319.1093	35.8585%	411,005.1967	85.6400%
Target	2⁴⁴	0.0001	65.9091%	500	50000	0.0000	1.5013%	0.0001	66.4209%
Difference	+23	+1,686.0872	+11.7028%	+5999999500	+17613225783553450	+409,319.1093	+34.3571%	+411,005.1966	+19.2190%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
17623	5674607	7	22.436	161 7 × 23	-	7	23	3.281e-11	3.358e-9	6.077e-9
17623	3736357969	10	31.799	106008 2³ × 3 × 7 × 631	2008-08-26	8	631	3.158e-8	1.789e-8	2.757e-8
17623	5384355191	10	32.326	152765 5 × 30553	2008-08-26	5	30553	3.461e-8	7.120e-7	1.326e-6
17623	22069961365376073298559	23	74.225	626169249429043673 31 × 41 × 857 × 107347 × 5355197	2008-10-16	107347	5355197	233,683	0.0002	0.0002
17623	1242727926579493981260801822173648962229297	43	139.834	35258693939156045544481695005777931176 2³ × 17 × 31² × 37² × 5940133 × 2036807327 × 16287497395639	2023-04-12	2036807327	16287497395639	8.039e+12	379.33	706.95

exponent	prime factors	composite factor	digits	bits*
17623	5674607 3736357969	21202363085393183	17	54.235
17623	5674607 5384355191	30554099657334937	17	54.762
17623	3736357969 5384355191	20117878425819367079	20	64.125
17623	5674607 3736357969 5384355191	114161053740303561162062953	27	86.561
17623	5674607 22069961365376073298559	125238357253692623172515991313	30	96.661
17623	3736357969 22069961365376073298559	82461276023045012150999035866671	32	106.023
17623	5384355191 22069961365376073298559	118832511042832107932292644469769	33	106.551
17623	5674607 3736357969 22069961365376073298559	467935334149303387267144185922262323297	39	128.460
17623	5674607 5384355191 22069961365376073298559	674327798991232379497343366356662455783	39	128.987
17623	3736357969 5384355191 22069961365376073298559	444000799611166246801889734604705182739161	42	138.350
17623	5674607 3736357969 5384355191 22069961365376073298559	2519530045479121262265731101216002262907922184727	49	160.786
17623	5674607 1242727926579493981260801822173648962229297	7051992591263482602520414845719343616609104361279	49	162.271
17623	3736357969 1242727926579493981260801822173648962229297	46432763917741392488713335556082342018340138512177 93	52	171.633
17623	5384355191 1242727926579493981260801822173648962229297	66912885624789652921548550160429456931910782342307 27	52	172.161
17623	5674607 3736357969 1242727926579493981260801822173648962229297	26348768715696273000620011493989375059366707838217 446682351	59	194.070
17623	5674607 5384355191 1242727926579493981260801822173648962229297	37970432915663073799618985358022411931201944885513 323049289	59	194.597
17623	3736357969 5384355191 1242727926579493981260801822173648962229297	25001049343296836364217205721231682986988714200170 425411113463	62	203.960
17623	22069961365376073298559 1242727926579493981260801822173648962229297	27426957327283345558236067275955869992386970973625 323924897683023	65	214.059
17623	5674607 3736357969 5384355191 1242727926579493981260801822173648962229297	14187112961081763071024150510614135689974706652128 6497230882334934041	69	226.396
17623	5674607 22069961365376073298559 1242727926579493981260801822173648962229297	15563720403810336368818529501661011154988905219573 1078521491866366096961	72	236.495
17623	3736357969 22069961365376073298559 1242727926579493981260801822173648962229297	10247693057521806929749608354973783693838302832907 6667866997815472622060287	75	245.858
17623	5384355191 22069961365376073298559 1242727926579493981260801822173648962229297	14767648005849356758433516164071821808042991764260 5836964079333728762622393	75	246.385
17623	5674607 3736357969 22069961365376073298559 1242727926579493981260801822173648962229297	58151630758064648256205635818392717765540690123737 6763014740872665649451659032209	81	268.294
17623	5674607 5384355191 22069961365376073298559 1242727926579493981260801822173648962229297	83800598747528800806904139859255108534673417366415 4580677223335732572478369674551	81	268.821
17623	3736357969 5384355191 22069961365376073298559 1242727926579493981260801822173648962229297	55177219310042202737897076076320062900829420572996 4012866652585325672708687423399817	84	278.184
17623	5674607 3736357969 5384355191 22069961365376073298559 1242727926579493981260801822173648962229297	31310903493730065395188991318221836317748693578946 93897161196827257159632426613636565346919	91	300.620

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06	Lisander Viaene	Manual testing	50000	50000		-	skipped known factor: 5674607 skipped known factor: 3736357969 skipped known factor: 5384355191	-	-	2.13271e-5	-	-	0.218%
2023-04-12	JacobZ	GreatLakes	6000000000	17613225783603450			1242727926579493981260801822173648962229297	43	139.834	409,319	1.03682e-5	818,638	35.858%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	3736357969	31.799	10	1.53481e-8	0.000	4.25603e-7
2008-08-26	ANONYMOUS	Manual testing	?	?	5384355191	32.326	10	2.14339e-9	0.000	5.94228e-8

ECM factoring results:

Total ECM effort:	22.238 GHz-days
Estimated T-Level:	36.246

Digits	B1	Complete	FacMiss
20	11000	423.703	0.000%
25	50000	91.186	0.000%
30	250000	15.421	0.000%
35	1000000	2.141	11.751%
40	3000000	0.249	77.935%
45	11000000	0.025	97.503%
50	44000000	0.002	99.775%

ECM Summary

B1	B2	factor	curves	GHz-days
		22069961365376073298559	1	0.00000e+0
50000	5000000		68	0.021
250000	25000000		467	0.717
1000000	100000000		1,451	8.906
3000000	300000000		684	12.59

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-10-16	ANONYMOUS	Manual testing			22069961365376073298559	74.225		1		1	-
2009-04-07	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
2009-07-02	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
2014-09-05	James Hintz	08_04_2014	250000	25000000						450	0.691
2017-10-02	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
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
2017-10-09	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
2017-10-11	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-11	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-10-12	Oliver Kruse	ECM-HTC	1000000	100000000						3	0.018
2017-11-11	James Hintz	10_12_2017	1000000	100000000						1326	8.139
2019-08-13	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-08-17	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-23	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-26	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-08-30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-12	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-15	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-05	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-24	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-31	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	SuperDry3	3000000	300000000						3	0.055
2019-11-10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2020-07-21	James Hintz	work_lappy_5_16_2019	3000000	300000000						100	1.841
2022-03-01	nordi	sweet16_ccx3	3000000	300000000						500	9.207

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