M1 389 623 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	21.3827	68.6567%	2500000	2508840180	7.6982	11.9192%	29.0809	72.3926%
Target	2⁶⁰	0.1105	65.0000%	6000	275000	0.0011	1.1431%	0.1117	65.4001%
Difference	+7	+21.2722	+3.6567%	+2494000	+2508565180	+7.6970	+10.7760%	+28.9692	+6.9925%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1389623	2779247	7	21.406	1 1	-	1	1	2.011e-13	5.536e-8	1.127e-7
1389623	158417023	9	27.239	57 3 × 19	2008-07-15	3	19	1.303e-11	2.143e-7	3.380e-7
1389623	12784531601	11	33.574	4600 2³ × 5² × 23	2008-07-15	25	25	1.643e-9	1.384e-6	2.817e-6
1389623	2758907889100409	16	51.293	992682148 2² × 89 × 2788433	2014-06-21	89	2788433	0.0003	0.0084	0.0157
1389623	396587507499037961	18	58.460	142696079260 2² × 5 × 7 × 197 × 5173897	2015-01-19	197	5173897	0.0343	0.0156	0.0291
1389623	6964448365491818881	19	62.595	2505876905280 2⁶ × 3 × 5 × 7 × 17 × 31 × 59 × 67 × 179	2015-01-19	67	179	0.8274	4.047e-6	7.549e-6

exponent	prime factors	composite factor	digits	bits*
1389623	2779247 158417023	440280035921681	15	48.645
1389623	2779247 12784531601	35531371098484447	17	54.980
1389623	158417023 12784531601	2025287436679843823	19	60.813
1389623	2779247 2758907889100409	7667686474058644412023	22	72.699
1389623	158417023 2758907889100409	437057974522500941862407	24	78.532
1389623	2779247 396587507499037961	1102214640454178755995367	25	79.867
1389623	2779247 158417023 12784531601	5628774032530145905541281	25	82.219
1389623	2779247 6964448365491818881	19355922226448041149562607	26	84.0010
1389623	12784531601 2758907889100409	35271345092452382322524809	26	84.867
1389623	158417023 396587507499037961	62826212296987769145610103	26	85.700
1389623	158417023 6964448365491818881	1103287176898429877983211263	28	89.834
1389623	12784531601 396587507499037961	5070185522183275289503105561	28	92.034
1389623	12784531601 6964448365491818881	89037210212162956391112958481	29	96.168
1389623	2779247 158417023 2758907889100409	1214692064517737175168269067529	31	99.938
1389623	2779247 12784531601 2758907889100409	98027780034163006212730107838823	32	106.273
1389623	2779247 158417023 396587507499037961	174609562047766366434629441932441	33	107.106
1389623	2758907889100409 396587507499037961	1094148403157763445553845231626049	34	109.753
1389623	2779247 158417023 6964448365491818881	3066307576533430543095205953058961	34	111.240
1389623	158417023 12784531601 2758907889100409	5587581486751966176792206085423607	34	112.106
1389623	2779247 12784531601 396587507499037961	14091297901971301298525637621092567	35	113.440
1389623	2758907889100409 6964448365491818881	19214271538787827771680720251022329	35	113.888
1389623	2779247 12784531601 6964448365491818881	247456399370523260061131516519443807	36	117.575
1389623	158417023 12784531601 396587507499037961	803203696481974931752545132228364903	36	119.273
1389623	396587507499037961 6964448365491818881	2762013218376149390716139723555541641	37	121.055
1389623	158417023 12784531601 6964448365491818881	14105009778036053942358938539282622063	38	123.408
1389623	2779247 2758907889100409 396587507499037961	3040908667031004582765187698461001805103	40	131.160
1389623	2779247 158417023 12784531601 2758907889100409	15529269084310941740951208386295303483929	41	133.512
1389623	2779247 2758907889100409 6964448365491818881	53401206531361453970960326715493054806263	41	135.294
1389623	158417023 2758907889100409 396587507499037961	173331732748456684382862747796944131832127	42	136.993
1389623	2779247 158417023 12784531601 396587507499037961	2232301463836439383148465801110286471568041	43	140.680
1389623	158417023 2758907889100409 6964448365491818881	3043867696288396704226383408662770066706567	43	141.127
1389623	2779247 396587507499037961 6964448365491818881	7676316951132258065699659178272568439124327	43	142.461
1389623	12784531601 2758907889100409 396587507499037961	13988174836354114958165777310786388055274449	44	143.327
1389623	2779247 158417023 12784531601 6964448365491818881	39201306110577368811139252858485609520726561	44	144.814
1389623	12784531601 2758907889100409 6964448365491818881	245645461677827881381197580931635617657118729	45	147.461
1389623	158417023 396587507499037961 6964448365491818881	437549911541798480680514693057711881919754743	45	148.294
1389623	12784531601 396587507499037961 6964448365491818881	35311045272709595790307384316527226188035897241	47	154.629
1389623	2779247 158417023 2758907889100409 396587507499037961	481731698245949994701018143226413587562043468369	48	158.399
1389623	2779247 158417023 2758907889100409 6964448365491818881	8459660163306437675031063409375777719584026215049	49	162.533
1389623	2779247 12784531601 2758907889100409 396587507499037961	38876592949412664935137362093671136643457346559903	50	164.733
1389623	2779247 12784531601 2758907889100409 6964448365491818881	68270941243171810584504923321150549546669425621706 3	51	168.868
1389623	2779247 158417023 396587507499037961 6964448365491818881	12160592790028088020358784191365665746898326102185 21	52	169.701
1389623	158417023 12784531601 2758907889100409 396587507499037961	22159650147787310654723919820557253846393376585453 27	52	170.566
1389623	2758907889100409 396587507499037961 6964448365491818881	76201400579775693087332320271160798365253942296311 69	52	172.348
1389623	158417023 12784531601 2758907889100409 6964448365491818881	38914422752462078074806448945991281070006983805723 767	53	174.701
1389623	2779247 12784531601 396587507499037961 6964448365491818881	98138116641042325971424426939555343801420203299357 527	53	176.035
1389623	158417023 12784531601 396587507499037961 6964448365491818881	55938706711208773086338280783411328711562850580531 33543	55	181.868
1389623	2779247 158417023 12784531601 2758907889100409 396587507499037961	61587141194287439775209489989524286080827252694991 24428769	58	191.973
1389623	2779247 2758907889100409 396587507499037961 6964448365491818881	21178251395713985568588908911666283537423692336519 737549743	59	193.754
1389623	2779247 158417023 12784531601 2758907889100409 6964448365491818881	10815279269151197310317159881379942993997369972110 6362263449	60	196.107
1389623	158417023 2758907889100409 396587507499037961 6964448365491818881	12071599028278539306656865189039846431326796177595 48180989887	61	199.587
1389623	2779247 158417023 12784531601 396587507499037961 6964448365491818881	15546748281100684897388640785245358508762491778738 997239982121	62	203.274
1389623	12784531601 2758907889100409 396587507499037961 6964448365491818881	97419921375260206976667730129530811565297816567702 730655071569	62	205.922
1389623	2779247 158417023 2758907889100409 396587507499037961 6964448365491818881	33549955384546045532408172606043426074725704296193 71003371600475089	67	220.994
1389623	2779247 12784531601 2758907889100409 396587507499037961 6964448365491818881	27075402422242780445928285895930811945041926080233 8111064915692928543	69	227.328
1389623	158417023 12784531601 2758907889100409 396587507499037961 6964448365491818881	15432973925162787839607532267287675554948450209055 544539347277812919087	71	233.161
1389623	2779247 158417023 12784531601 2758907889100409 396587507499037961 6964448365491818881	42892046482586902614865715231262470423063815398166 994994347303819721933787489	77	254.567

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-01-19	alpertron	Manual testing	500000	15000000	12		396587507499037961 6964448365491818881	37	121.055	0.071	0.106	0.143	4.903%
2023-02-11	Kevin_9611		2500000	2508840180		-	skipped known factor: 2779247 skipped known factor: 158417023 skipped known factor: 12784531601 skipped known factor: 2758907889100409 skipped known factor: 396587507499037961 skipped known factor: 6964448365491818881	-	-	7.698	-	-	11.919%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-15	J Feitsma	Manual testing	?	?	12784531601	33.574	11	8.19922e-10	0.217	3.35531e-9
2008-07-15	J Feitsma	Manual testing	?	?	158417023	27.239	9	1.58748e-13	0.217	6.49635e-13
2014-06-21	TJAOI	Manual testing	?	?	2758907889100409	51.293	16	5.73790e-5	0.217	0.000

ECM factoring results:

Total ECM effort:	25.332 GHz-days
Estimated T-Level:	25.704

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.651	19.189%
30	250000	0.141	86.866%
35	1000000	0.010	99.021%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		251	11.79
250000	35000000		50	13.54

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-11-15	Chang Chia-Tche	exbpc13	50000	5000000						3	0.141
2018-08-10	Chang Chia-Tche	exbpc13	50000	5000000						3	0.141
2018-11-23	TJAOI	Manual testing	50000	5000000						245	11.51
2021-09-03	TJAOI	Manual testing	250000	35000000						50	13.54

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-30

Oliver Kruse

GTX-3

2779247

158417023

12784531601

2758907889100409

396587507499037961

6964448365491818881

0875CD710A642D3D

2017-10-05

Oliver Kruse

Manual testing

2779247

158417023

12784531601

2758907889100409

396587507499037961

6964448365491818881

0875CD710A642D__

2017-10-25

nokno

pcr2-srv

2017-11-05

kkmrkkblmbrbk

c4.xlarge

2779247

158417023

12784531601

2758907889100409

396587507499037961

6964448365491818881

0875CD710A642D__

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 = 2500000, B2 = 2508840180 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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