M3324611 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁰	71.8733	68.5714%	4150000	1038194850	9.2117	9.7923%	81.0849	71.6490%	3.0776%
PrimeNet	2⁶⁰	0.0462	63.3333%	14000	260000	0.0042	2.7821%	0.0504	64.3534%	1.0201%
GPU72	2⁶⁴	1.0706	65.6250%	17000	300000	0.0049	1.7246%	1.0755	66.2178%	0.5928%
Difference	+6	+70.8027	+2.9464%	+4133000	+1037894850	+9.2067	+8.0677%	+80.0094	+5.4312%	+5.4312%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3324611	59842999	8	25.835	9 3²	-	9	9	1.347e-12	1.371e-6	2.789e-6
3324611	1895028271	10	30.820	285 3 × 5 × 19	2008-09-07	5	19	4.568e-11	8.776e-7	1.550e-6
3324611	1717154932279	13	40.643	258249 3 × 86083	2008-09-30	3	86083	8.362e-8	0.0007	0.0013
3324611	641045016438400009	18	59.153	96409025964 2² × 3² × 353 × 7586483	2014-02-18	353	7586483	0.0355	0.0630	0.1176
3324611	125018353502833481897	21	66.761	18801952093468 2² × 19² × 13020742447	2020-09-02	361	13020742447	5.8706	108.04	201.78

exponent	prime factors	composite factor	digits	bits*
3324611	59842999 1895028271	113404174926424729	18	56.654
3324611	59842999 1717154932279	102759700895217264721	21	66.478
3324611	1895028271 1717154932279	3254057142355795459609	22	71.463
3324611	59842999 641045016438400009	38362056277678155300186991	26	84.988
3324611	1895028271 641045016438400009	1214798429134427747061654439	28	89.973
3324611	59842999 125018353502833481897	7481473203651710554328689103	28	92.595
3324611	59842999 1895028271 1717154932279	194732538315940725333585927391	30	97.297
3324611	1895028271 125018353502833481897	236913314281741326800181710087	30	97.580
3324611	1717154932279 641045016438400009	1100773611790071209229507990511	31	99.796
3324611	1717154932279 125018353502833481897	214675882342790110041456807453263	33	107.404
3324611	59842999 1895028271 641045016438400009	72697181179893130532982839531422561	35	115.807
3324611	59842999 1895028271 125018353502833481897	14177603229648931937961947276554630913	38	123.415
3324611	59842999 1717154932279 641045016438400009	65873594149579619583850237446641782489	38	125.631
3324611	641045016438400009 125018353502833481897	80142392476325592748805455341146137073	38	125.914
3324611	1895028271 1717154932279 641045016438400009	2085997114312963858593073769438744736481	40	130.616
3324611	59842999 1717154932279 125018353502833481897	12846848612363706212420789686968810255737	41	133.239
3324611	1895028271 1717154932279 125018353502833481897	406816866141456971547761632149336896198273	42	138.223
3324611	59842999 641045016438400009 125018353502833481897	4795961112818359970541172115174752939713401927	46	151.749
3324611	59842999 1895028271 1717154932279 641045016438400009	124832323225833581876821454991449031826487746519	48	156.451
3324611	1895028271 641045016438400009 125018353502833481897	151872099448214696459818939350499879295776190783	48	156.733
3324611	59842999 1895028271 1717154932279 125018353502833481897	24345141313686343406875727804951135729856354940727	50	164.058
3324611	1717154932279 641045016438400009 125018353502833481897	13761690452536191232732956512447155384782976627936 7	51	166.557
3324611	59842999 1895028271 641045016438400009 125018353502833481897	90884818954074126320302483277330249261972552892508 78217	55	182.568
3324611	59842999 1717154932279 641045016438400009 125018353502833481897	82354082798943283940424708384141860724441228556263 93101633	58	192.392
3324611	1895028271 1717154932279 641045016438400009 125018353502833481897	26078792464306866036691293184500922847693623909472 2948984457	60	197.377
3324611	59842999 1895028271 1717154932279 641045016438400009 125018353502833481897	15606331513627233199268510213487955414736066879209 266341353911266543	68	223.211

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-04-30T04:32:09	Jocelyn Larouche	Manual testing	332461	332461		-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279	-	-	0.051	-	-	1.264%
2020-04-30T14:12:43	Jocelyn Larouche	Manual testing	332461	3324611	6	-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279	-	-	0.075	-	-	2.771%
2020-07-05T12:13:27	Jocelyn Larouche	Manual testing	332461	6649222	6	-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279	-	-	0.103	-	-	3.252%
2021-01-20T22:27:04	Jocelyn Larouche	Manual testing	332461	9973833	6	-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279 skipped known factor: 641045016438400009	-	-	0.131	-	-	3.539%
2021-07-31T12:30:43	Jocelyn Larouche	Manual testing	3324611	3324611		-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279	-	-	0.506	-	-	3.183%
2021-08-11T00:14:41	Jocelyn Larouche	Manual testing	3324611	33246110	12	-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279 skipped known factor: 641045016438400009	-	-	0.755	-	-	5.703%
2021-08-19T19:57:15	Jocelyn Larouche	Manual testing	3324611	166230550	12	-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279 skipped known factor: 641045016438400009	-	-	1.858	-	-	7.511%
2021-12-21T11:44:21	Jocelyn Larouche	Manual testing	4150000	116770500		-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279 skipped known factor: 641045016438400009	-	-	1.566	-	-	7.234%
2022-01-10T19:41:43	Jocelyn Larouche	Manual testing	4150000	1038194850		-	skipped known factor: 59842999 skipped known factor: 1895028271 skipped known factor: 1717154932279 skipped known factor: 641045016438400009	-	-	9.212	-	-	9.792%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30T14:47:00	markr	Manual testing	?	?	1717154932279	40.643	13	3.95662e-8	0.756	8.56414e-8
2008-09-07T19:48:00	Will Edgington	Manual testing	?	?	1895028271	30.820	10	2.65415e-12	0.756	5.74494e-12
2014-02-18T13:00:00	Never Odd Or Even	Manual testing	2¹⁰	2⁶²	641045016438400009	59.153	18	0.036	0.710	0.072
2022-04-20T22:36:06	LordJulius	Manual testing	2¹	2⁶²	59842999 1895028271	56.654	18	0.005	0.750	0.010
2022-04-20T22:36:06	LordJulius	Manual testing	2¹	2⁶²	1717154932279	40.643	13	8.36240e-8	0.756	1.81005e-7
2022-04-20T22:36:06	LordJulius	Manual testing	2¹	2⁶²	1895028271	30.820	10	4.56793e-11	0.756	9.88734e-11
2022-04-20T22:36:06	LordJulius	Manual testing	2¹	2⁶²	59842999	25.835	8	1.34716e-12	0.756	2.91593e-12
2022-04-20T22:36:06	LordJulius	Manual testing	2¹	2⁶²	641045016438400009	59.153	18	0.036	0.710	0.072
2022-04-20T22:36:06	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.295	-	-
2022-04-20T22:36:06	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.591	-	-
2022-04-20T22:36:06	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	1.124	-	-
2021-01-20T02:26:32	Jocelyn Larouche	Manual testing	2⁶⁵	2⁶⁶		-	-	2.248	-	-
2021-01-20T15:08:38	Jocelyn Larouche	Manual testing	2⁶⁶	2⁶⁷	skipped known factors(?)	-	-	4.495	-	-
2020-09-02T11:37:14	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	125018353502833481897	66.761	21	1.428	0.710	2.903
2021-01-25T11:54:45	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	8.991	-	-
2021-01-26T20:23:14	Jocelyn Larouche	Manual testing	2⁶⁸	2⁶⁹		-	-	17.98	-	-
2021-08-18T16:07:22	Jocelyn Larouche	Manual testing	2⁶⁹	2⁷⁰		-	-	35.96	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.438 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.438 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.097	90.776%
25	50000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.438

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-10-01T04:43:55	ATH	ec2-ECMCF	50000	5000000						3	0.438

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 4150000, B2 = 1038194850 (P-1 stage 2)

B1 = 3324611, B2 = 166230550 (P-1 stage 2)

B1 = 4150000, B2 = 116770500 (P-1 stage 2)

B1 = 3324611, B2 = 33246110 (P-1 stage 2)

B1 = 4150000 (P-1 stage 1)

B1 = 3324611 (P-1 stage 1)

B1 = 332461, B2 = 9973833 (P-1 stage 2)

B1 = 332461, B2 = 6649222 (P-1 stage 2)

B1 = 332461, B2 = 3324611 (P-1 stage 2)

B1 = 332461 (P-1 stage 1)

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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