M18 143 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,637.7621	77.6119%	400000000	400000000	0.1706	8.0078%	1,637.9327	79.4047%
Target	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.5145%	0.0001	66.4254%
Difference	+23	+1,637.7620	+11.7028%	+399999500	+399990000	+0.1706	+6.4933%	+1,637.9326	+12.9793%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
18143	471719	6	18.848	13 13	-	1	13	1.930e-12	7.054e-10	8.681e-10
18143	6966913	7	22.732	192 2⁶ × 3	2008-08-26	64	64	3.208e-11	2.730e-8	5.556e-8
18143	76672319	8	26.192	2113 2113	2008-08-26	1	2113	7.181e-10	4.951e-8	9.185e-8
18143	6328778711369	13	42.525	174413788 2² × 1811 × 24077	2008-08-26	1811	24077	6.143e-5	1.290e-6	1.572e-6
18143	6217240858186961	16	52.465	171339934360 2³ × 5 × 7 × 611928337	2008-08-29	8	611928337	0.0621	0.0142	0.0266
18143	12315004021678079	17	53.451	339387202273 7 × 48483886039	2008-08-29	7	48483886039	0.0921	1.1267	2.1044

exponent	prime factors	composite factor	digits	bits*
18143	471719 6966913	3286425233447	13	41.580
18143	471719 76672319	36167789646361	14	45.040
18143	6966913 76672319	534169375981247	15	48.924
18143	471719 6328778711369	2985405164948273311	19	61.373
18143	6966913 6328778711369	44092050678359933897	20	65.257
18143	471719 6966913 76672319	251977843868497853593	21	67.772
18143	76672319 6328778711369	485242140238492894711	21	68.717
18143	471719 6217240858186961	2932790640383095055959	22	71.313
18143	471719 12315004021678079	5809221382101961747801	22	72.299
18143	6966913 6217240858186961	43314976159033895021393	23	75.197
18143	6966913 12315004021678079	85797561613681290400127	23	76.183
18143	76672319 6217240858186961	476690274378744435432559	24	78.657
18143	76672319 12315004021678079	944219916836384588395201	24	79.643
18143	471719 6966913 6328778711369	20799058053945269657958943	26	84.105
18143	471719 76672319 6328778711369	228897937151161629800178209	27	87.565
18143	6966913 76672319 6328778711369	3380639774975379248569697143	28	91.449
18143	471719 6966913 6217240858186961	20432497238763309925596484567	29	94.045
18143	6328778711369 6217240858186961	39347541586747170711258259609	29	94.990
18143	471719 6966913 12315004021678079	40472339966844124626257508313	29	95.031
18143	6328778711369 12315004021678079	77938935282819845354575380151	29	95.976
18143	471719 76672319 6217240858186961	224863859539666946337811298921	30	97.505
18143	471719 76672319 12315004021678079	445406474950142501653195820519	30	98.491
18143	6966913 76672319 6217240858186961	3321059669542841530892755920367	31	101.389
18143	6966913 76672319 12315004021678079	6578298013466326661890174984513	31	102.376
18143	6217240858186961 12315004021678079	76565346172313695948648737327919	32	105.916
18143	471719 6966913 76672319 6328778711369	1594712014011610923756048966598817	34	110.297
18143	471719 6328778711369 6217240858186961	18560982969758788620744034964497871	35	113.838
18143	471719 6328778711369 12315004021678079	36765276612676494630814943749449569	35	114.824
18143	6966913 6328778711369 6217240858186961	274130898998749491341484415227317017	36	117.722
18143	6966913 6328778711369 12315004021678079	542993781428036257258780825453943863	36	118.708
18143	471719 6966913 76672319 6217240858186961	1566606946257079664111199929999600873	37	120.237
18143	76672319 6328778711369 6217240858186961	3016867260404845245121050172126063271	37	121.182
18143	471719 6966913 76672319 12315004021678079	3103108160614322146620171453519487847	37	121.223
18143	76672319 6328778711369 12315004021678079	5975758908524718402556671656483740169	37	122.169
18143	471719 6217240858186961 12315004021678079	36117328531057644339200633723588622761	38	124.764
18143	6966913 6217240858186961 12315004021678079	533424105597392528382688220523464144047	39	128.649
18143	76672319 6217240858186961 12315004021678079	5870442646069064663843803607353413174161	40	132.109
18143	471719 6966913 6328778711369 6217240858186961	129312753544791111306113686866614755942223	42	136.570
18143	471719 6966913 6328778711369 12315004021678079	256140483581451835237854832202308945110497	42	137.556
18143	471719 76672319 6328778711369 6217240858186961	1423113607210913194183256666145134440132849	43	140.030
18143	471719 76672319 6328778711369 12315004021678079	2818879016570371640135630597124853428780511	43	141.016
18143	6966913 76672319 6328778711369 6217240858186961	21018251735788901601222031017837307841552423	44	143.915
18143	6966913 76672319 6328778711369 12315004021678079	41632592424666671460111309000288103672028297	44	144.901
18143	471719 6966913 6217240858186961 12315004021678079	251626285668296406096153304697107982565706793	45	147.496
18143	6328778711369 6217240858186961 12315004021678079	484565132883936869271118831823016177206411111	45	148.442
18143	471719 76672319 6217240858186961 12315004021678079	2769199334561053114163735193857144709102052759	46	150.956
18143	6966913 76672319 6217240858186961 12315004021678079	40898863186652965504374025321517389837433534993	47	154.841
18143	471719 6966913 76672319 6328778711369 6217240858186961	9914708690554604874426855249703197017709267425137	49	162.762
18143	471719 6966913 76672319 6328778711369 12315004021678079	19638884865971337594492246570306903976065516232543	50	163.748
18143	471719 6328778711369 6217240858186961 12315004021678079	22857857991887781603570290422872136809563104286980 9	51	167.289
18143	6966913 6328778711369 6217240858186961 12315004021678079	33759231236358272657042583139725851041896492525703 43	52	171.174
18143	471719 6966913 76672319 6217240858186961 12315004021678079	19292770843544750234757810850640861616724309693362 967	53	173.688
18143	76672319 6328778711369 6217240858186961 12315004021678079	37152732444754597616616520560441647880930481547736 409	53	174.634
18143	471719 6966913 6328778711369 6217240858186961 12315004021678079	15924870799583688019507470276088338727632371557732 29629617	58	190.021
18143	471719 76672319 6328778711369 6217240858186961 12315004021678079	17525649796107194033112728462250973696744645825216 671117071	59	193.481
18143	6966913 76672319 6328778711369 6217240858186961 12315004021678079	25883985465488258794497465310730820236307702399118 4908435417	60	197.366
18143	471719 6966913 76672319 6328778711369 6217240858186961 12315004021678079	12209967739794655950281549838912631791050833068009 7753822246471823	66	216.213

	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: 471719 skipped known factor: 6966913 skipped known factor: 76672319 skipped known factor: 6328778711369	-	-	0.171	-	-	8.008%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	6328778711369	42.525	13	2.91340e-5	7.56951e-5	0.000
2008-08-26	ANONYMOUS	Manual testing	?	?	6966913	22.732	7	1.27989e-12	0.000	3.36413e-11
2008-08-26	ANONYMOUS	Manual testing	?	?	76672319	26.192	8	2.25368e-10	0.000	5.92363e-9
2008-08-29	ANONYMOUS	Manual testing	?	?	12315004021678079	53.451	17	0.026	1.11082e-5	0.054
2008-08-29	ANONYMOUS	Manual testing	?	?	6217240858186961	52.465	16	0.029	1.11082e-5	0.060

ECM factoring results:

Total ECM effort:	45.844 GHz-days
Estimated T-Level:	37.648

Digits	B1	Complete	FacMiss
20	11000	687.635	0.000%
25	50000	159.409	0.000%
30	250000	28.941	0.000%
35	1000000	4.287	1.374%
40	3000000	0.530	58.886%
45	11000000	0.057	94.464%
50	44000000	0.005	99.467%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	148	0.045
250000	25000000	571	0.876
1000000	100000000	1,421	8.722
3000000	300000000	1,966	36.20

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-06	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.015
2009-06-08	unconnected	dual5430	250000	25000000						30	0.046
2009-06-13	Rob_Dee	twopc	50000	5000000						80	0.025
2009-06-28	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-29	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-29	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-30	Rob_Dee	twopc	50000	5000000						6	0.002
2009-07-11	Rob_Dee	twopc	250000	25000000						10	0.015
2011-04-04	James Hintz	17_051310	250000	25000000						11	0.017
2014-09-13	James Hintz	08_04_2014	250000	25000000						520	0.798
2014-09-13	James Hintz	08_04_2014	1000000	100000000						11	0.068
2017-09-29	kkmrkkblmbrbk	r4.16xlarge-64	1000000	100000000						1410	8.654
2019-09-01	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-14	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-21	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-09-25	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-09-28	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-02	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-05	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-08	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-12	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-19	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-10-22	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-25	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-10-29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2019-11-01	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-11-04	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-11-08	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.055
2019-11-11	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.055
2020-07-13	James Hintz	work_lappy_5_16_2019	3000000	300000000						100	1.841
2021-10-31	nordi	sweet16	3000000	300000000						1800	33.14

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

PRP

471719

6966913

76672319

6328778711369

6217240858186961

12315004021678079

D5FF45725BFF026B

2017-09-21

Oliver Kruse

Manual testing

471719

6966913

76672319

6328778711369

6217240858186961

12315004021678079

D5FF45725BFF026B

2017-10-02

kkmrkkblmbrbk

Manual testing

471719

6966913

76672319

6328778711369

6217240858186961

12315004021678079

D5FF45725BFF02__

2017-12-07

ATH

Manual testing

471719

6966913

76672319

6328778711369

6217240858186961

12315004021678079

D5FF45725BFF02__

2020-04-17

Oliver Kruse

Manual testing

471719

6966913

76672319

6328778711369

6217240858186961

12315004021678079

BBFA662EC9F125__

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