M41 609 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	714.1224	76.1194%	870000000	644491197700350	36,348.3648	30.5847%	37,062.4872	83.4232%
Target	2⁴⁴	0.0001	63.6364%	500	50000	0.0000	1.9347%	0.0001	64.3399%
Difference	+23	+714.1223	+12.4830%	+869999500	+644491197650350	+36,348.3648	+28.6500%	+37,062.4871	+19.0833%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
41609	1876649119	10	30.806	22551 3 × 7517	-	3	7517	6.467e-9	4.269e-7	7.919e-7
41609	15873143123473	14	43.852	190741704 2³ × 3 × 197 × 40343	2008-08-26	197	40343	3.050e-5	2.468e-6	4.249e-6
41609	94883104786681	14	46.431	1140175260 2² × 3² × 5 × 7 × 904901	2008-08-26	9	904901	0.0003	5.104e-5	9.532e-5
41609	1793921838388393121	19	60.638	21556896805840 2⁴ × 5 × 11 × 101 × 1493 × 162451	2008-08-26	1493	162451	5.9763	1.062e-5	1.711e-5
41609	1796074464358557830567	22	70.605	21582764117841787 7 × 2039 × 8237 × 183578887	2010-04-29	8237	183578887	10,454	0.0104	0.0193
41609	116560927017787588155361	24	76.625	1400669651010449520 2⁴ × 3³ × 5 × 4363 × 8599 × 17284181	2010-04-29	8599	17284181	711,730	0.0010	0.0018

exponent	prime factors	composite factor	digits	bits*
41609	1876649119 15873143123473	29788320058426513670287	23	74.657
41609	1876649119 94883104786681	178062295005909581584039	24	77.237
41609	15873143123473 94883104786681	1506093102278473605708863113	28	90.283
41609	1876649119 1793921838388393121	3366561837566438330350310399	28	91.443
41609	1876649119 1796074464358557830567	3370601561196884452844111820473	31	101.411
41609	15873143123473 1793921838388393121	28475178093062764701179366829233	32	104.489
41609	94883104786681 1793921838388393121	170212873770921322637947072821401	33	107.069
41609	1876649119 116560927017787588155361	218743960997754374640893055776959	33	107.431
41609	15873143123473 1796074464358557830567	28509347033178494056103973094599191	35	114.457
41609	94883104786681 1796074464358557830567	170417121606414991623757672676278127	36	117.037
41609	15873143123473 116560927017787588155361	1850188277158033272082438241929888753	37	120.477
41609	1876649119 15873143123473 94883104786681	2826408293522874384818291331503047447	37	121.088
41609	94883104786681 116560927017787588155361	11059662652261416204134443558191546841	38	123.057
41609	1793921838388393121 1796074464358557830567	3222017204984552521200668761018906329607	40	131.243
41609	1876649119 15873143123473 1793921838388393121	53437917881714337388172557021057932895727	41	135.295
41609	1793921838388393121 116560927017787588155361	209101192480004831068343978552241291671681	42	137.263
41609	1876649119 94883104786681 1793921838388393121	319429839604657707946818130178911030995719	42	137.875
41609	1876649119 15873143123473 1796074464358557830567	53502040993079684640134257680379275448262729	44	145.263
41609	1796074464358557830567 116560927017787588155361	209352104558609793982369091430509505510719687	45	147.231
41609	1876649119 94883104786681 1796074464358557830567	319813141125194558779117215897427719233520113	45	147.842
41609	15873143123473 94883104786681 1793921838388393121	2701813306823477559098239583400750455819845673	46	150.921
41609	1876649119 15873143123473 116560927017787588155361	3472154200312750963826195022089634588085458607	46	151.283
41609	1876649119 94883104786681 116560927017787588155361	20755106172803590077181227661035391612409883079	47	153.862
41609	15873143123473 94883104786681 1796074464358557830567	2705055361948928135496585996497986536001250175071	49	160.888
41609	1876649119 1793921838388393121 1796074464358557830567	6046595749137102897520463852576952105800500166233	49	162.049
41609	15873143123473 94883104786681 116560927017787588155361	17555160817667445945341705679769539385897612609879 3	51	166.908
41609	1876649119 1793921838388393121 116560927017787588155361	39240956864945049134015155613901851549108218589903 9	51	168.069
41609	15873143123473 1793921838388393121 1796074464358557830567	51143540241012245311086400389496099802744466036565 111	53	175.095
41609	94883104786681 1793921838388393121 1796074464358557830567	30571499608503833209699802085197133682547351040956 4367	54	177.674
41609	1876649119 1796074464358557830567 116560927017787588155361	39288044258071095374178445696589611323781774566450 5753	54	178.036
41609	15873143123473 1793921838388393121 116560927017787588155361	33190931555239928633223032512502950569901905699604 68113	55	181.115
41609	1876649119 15873143123473 94883104786681 1793921838388393121	50703555619527558497979817486399453668531618049514 12087	55	181.726
41609	94883104786681 1793921838388393121 116560927017787588155361	19840170357100251508122793334421989302234173751393 680761	56	183.694
41609	15873143123473 1796074464358557830567 116560927017787588155361	33230759188590975472479111594416107700302417985913 32912951	58	191.082
41609	1876649119 15873143123473 94883104786681 1796074464358557830567	50764397618476821084739807378356835180606079239455 87912449	58	191.694
41609	94883104786681 1796074464358557830567 116560927017787588155361	19863977674146770144119412008430641400006837481146 922088847	59	193.662
41609	1876649119 15873143123473 94883104786681 116560927017787588155361	32944877082378932068305634117896802211580555728533 2790413367	60	197.714
41609	1876649119 15873143123473 1793921838388393121 1796074464358557830567	95978479735836677831262174223829112548756475969645 337344287209	62	205.900
41609	1793921838388393121 1796074464358557830567 116560927017787588155361	37556131228026037762308968539938901179689133107129 9824190073127	63	207.869
41609	1876649119 94883104786681 1793921838388393121 1796074464358557830567	57371977806807563501106075837659563866677712006794 6298504342673	63	208.480
41609	1876649119 15873143123473 1793921838388393121 116560927017787588155361	62287732461930311903160878095097018671906959247584 20349089042447	64	211.920
41609	1876649119 94883104786681 1793921838388393121 116560927017787588155361	37233038221462102387397061454862098598265186902245 876022297899559	65	214.500
41609	15873143123473 94883104786681 1793921838388393121 1796074464358557830567	48526578878498013174650774347129594899873639452946 94515895622086591	67	221.526
41609	1876649119 15873143123473 1796074464358557830567 116560927017787588155361	62362474954970408971778533519563673835181648746834 00352125197840169	67	221.888
41609	1876649119 94883104786681 1796074464358557830567 116560927017787588155361	37277716202023205267657197576419383755927758152970 550447596362275793	68	224.467
41609	15873143123473 94883104786681 1793921838388393121 116560927017787588155361	31492586367233871202663811461917271991991954455747 8479621533767602953	69	227.546
41609	15873143123473 94883104786681 1796074464358557830567 116560927017787588155361	31530376062320400084566218589059293544098531789904 9142635781047197205631	72	237.514
41609	1876649119 1793921838388393121 1796074464358557830567 116560927017787588155361	70479680582123451875697857216275055212691672339369 2141251155622330125113	72	238.674
41609	15873143123473 1793921838388393121 1796074464358557830567 116560927017787588155361	59613384614639109624258922844252666221995025071526 48626610493117549060210071	76	251.720
41609	1876649119 15873143123473 94883104786681 1793921838388393121 1796074464358557830567	91067361500417304467458768811208554447674758690696 52658629650684757941863329	76	252.332
41609	94883104786681 1793921838388393121 1796074464358557830567 116560927017787588155361	35634423346911371263038405549987325942458414232126 841852309641270417125621487	77	254.300
41609	1876649119 15873143123473 94883104786681 1793921838388393121 116560927017787588155361	59100534461100854859438512233189150534655076384467 3233643210798400832489248407	78	258.352
41609	1876649119 15873143123473 94883104786681 1796074464358557830567 116560927017787588155361	59171452459092267914428719612319546268294897332718 5504465143840099533366677989089	81	268.319
41609	1876649119 15873143123473 1793921838388393121 1796074464358557830567 116560927017787588155361	11187340571767063957930992858355574027890802222286 309243645141865204007282507697077449	86	282.526
41609	1876649119 94883104786681 1793921838388393121 1796074464358557830567 116560927017787588155361	66873309180054256251862941038548425691080427762857 899258389216405334339560075906019953	86	285.105
41609	15873143123473 94883104786681 1793921838388393121 1796074464358557830567 116560927017787588155361	56563030190795195829748696974808352134583727675295 2335343493360194261041221040775502864351	90	298.151
41609	1876649119 15873143123473 94883104786681 1793921838388393121 1796074464358557830567 116560927017787588155361	10614896077552620616333036616917205922720832197357 87180771359376790909651863488855610527166280656769	100	328.957

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-13	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1876649119 skipped known factor: 15873143123473 skipped known factor: 94883104786681 skipped known factor: 1793921838388393121 skipped known factor: 1796074464358557830567 skipped known factor: 116560927017787588155361	-	-	0.211	-	-	10.982%
2021-04-13	Seth_Tr	Manual testing	400000000	76400000000		-	skipped known factor: 1876649119 skipped known factor: 15873143123473 skipped known factor: 94883104786681 skipped known factor: 1793921838388393121 skipped known factor: 1796074464358557830567 skipped known factor: 116560927017787588155361	-	-	4.700	-	-	17.118%
2023-05-12	JacobZ	MServer	870000000	644491197700350		-	skipped known factor: 1876649119 skipped known factor: 15873143123473 skipped known factor: 94883104786681 skipped known factor: 1793921838388393121 skipped known factor: 1796074464358557830567 skipped known factor: 116560927017787588155361	-	-	36,348	-	-	30.585%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-28	gLauss	laptop-klaus	10000000	1000000000	2	7			-	-	0.071

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	15873143123473	43.852	14	2.34075e-6	6.04617e-5	4.76451e-6
2008-08-26	ANONYMOUS	Manual testing	?	?	94883104786681	46.431	14	4.09632e-5	6.04617e-5	8.33789e-5

ECM factoring results:

Total ECM effort:	53.261 GHz-days
Estimated T-Level:	35.603

Digits	B1	Complete	FacMiss
20	11000	322.270	0.000%
25	50000	61.613	0.000%
30	250000	9.331	0.009%
35	1000000	1.159	31.376%
40	3000000	0.121	88.630%
45	11000000	0.011	98.930%

ECM Summary

B1	B2	factor	curves	GHz-days
		1793921838388393121	1	0.00000e+0
		1796074464358557830567	1	0.00000e+0
		116560927017787588155361	1	0.00000e+0
50000	5000000		321	0.239
250000	25000000		573	2.134
1000000	100000000		1,447	21.55
3000000	11486324850		50	29.33

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			1793921838388393121	60.638		1		1	-
2009-04-22	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.022
2010-04-27	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-28	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-28	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-29	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-29	James Hintz	09_122109			1796074464358557830567	70.605		1		1	-
2010-04-29	James Hintz	09_122109			116560927017787588155361	76.625		1		1	-
2010-04-30	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-30	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-30	James Hintz	09_122109	50000	5000000						11	0.008
2010-04-30	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-01	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-01	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-01	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-02	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-03	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-03	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-03	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-03	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-04	James Hintz	09_122109	50000	5000000						11	0.008
2010-05-25	James Hintz	newestmember	50000	5000000						52	0.039
2010-09-08	ANONYMOUS	09_122109	50000	5000000						52	0.039
2011-02-19	James Hintz	17_051310	250000	25000000						11	0.041
2011-03-02	James Hintz	13_052010	250000	25000000						11	0.041
2016-08-19	TJAOI	Manual testing	250000	25000000						11	0.041
2016-08-29	kkmrkkblmbrbk	old	250000	25000000						540	2.011
2016-08-29	kkmrkkblmbrbk	old	1000000	100000000						20	0.298
2018-09-27	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-09-28	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-09-29	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-01	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-02	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-04	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-05	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-07	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-08	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-09	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-09	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045