M9 811 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	400000000	400000000	0.0707	30.1838%	0.0707	30.1838%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.2564%	0.0002	68.5816%
Difference	-44	-0.0002	-68.1818%	+399999500	+399990000	+0.0707	+28.9274%	+0.0705	-38.3977%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
9811	7770313	7	22.890	396 2² × 3² × 11	-	9	11	6.183e-11	1.611e-9	3.239e-9
9811	3219866772439	13	41.550	164094729 3 × 73 × 89 × 8419	-	89	8419	4.000e-5	9.598e-8	1.515e-7
9811	33095956708798297	17	54.878	1686676012068 2² × 3 × 17 × 37 × 223459991	-	37	223459991	0.4632	0.0022	0.0040
9811	56359133864830127	17	55.645	2872242068333 11 × 37 × 773 × 2647 × 3449	-	2647	3449	0.6791	4.758e-7	9.525e-7
9811	384438101927996319709178028450440287	36	118.210	19592197631637769835346958946613 3² × 41 × 61 × 45281 × 71025931 × 270641260387387	-	71025931	270641260387387	1.458e+13	2,607.3	4,869.6

exponent	prime factors	composite factor	digits	bits*
9811	7770313 3219866772439	25019372640150803407	20	64.440
9811	7770313 33095956708798297	257165942661812621556961	24	77.767
9811	7770313 56359133864830127	437928110538629778619751	24	78.535
9811	3219866772439 33095956708798297	106564571308739241555649736383	30	96.428
9811	3219866772439 56359133864830127	181468902454808125118500469753	30	97.196
9811	33095956708798297 56359133864830127	1865259454535785934453034211893719	34	110.523
9811	7770313 3219866772439 33095956708798297	828040073779723542270005370063397879	36	119.317
9811	7770313 3219866772439 56359133864830127	1410070171840327487113910740627842689	37	120.085
9811	7770313 33095956708798297 56359133864830127	14493649787952326411697559626122519364047	41	133.413
9811	7770313 384438101927996319709178028450440287	2987204381106434866988382253782826017799831	43	141.100
9811	3219866772439 33095956708798297 56359133864830127	6005886939637470715791504878680675022626410641	46	152.073
9811	3219866772439 384438101927996319709178028450440287	1237839470457472813116261421592372483371186849993	49	159.760
9811	33095956708798297 384438101927996319709178028450440287	12723346778621553313733096857895441754668996325791 239	53	173.088
9811	56359133864830127 384438101927996319709178028450440287	21666598449301153520028087855737185453995057612126 449	53	173.856
9811	7770313 3219866772439 33095956708798297 56359133864830127	46667621363595253990034035648375871977089292747100 633	53	174.963
9811	7770313 3219866772439 384438101927996319709178028450440287	96184001292088169469038566355976926083814170059296 57809	55	182.650
9811	7770313 33095956708798297 384438101927996319709178028450440287	98864386877431177793893361045164103707047312847247 899687807	59	195.977
9811	7770313 56359133864830127 384438101927996319709178028450440287	16835625159638459411167001143057677671658869809925 5104308537	60	196.745
9811	3219866772439 33095956708798297 384438101927996319709178028450440287	40967481526702328713730551754123968276736176058304 986451832861921	65	214.638
9811	3219866772439 56359133864830127 384438101927996319709178028450440287	69763560418683147559652482988677223576789045071815 447689176139111	65	215.406
9811	33095956708798297 56359133864830127 384438101927996319709178028450440287	71707680430498729029559316956907630166215918031327 0704432357599857353	69	228.733
9811	7770313 3219866772439 33095956708798297 384438101927996319709178028450440287	31833015428419495193457378479224227431231070639613 5994191500760811951273	72	237.527
9811	7770313 3219866772439 56359133864830127 384438101927996319709178028450440287	54208470044757910436368596404919748316263041517911 3506780025313024011743	72	238.295
9811	7770313 33095956708798297 56359133864830127 384438101927996319709178028450440287	55719112144894987066186214482137979847973970868575 51427169905878820388161489	76	251.623
9811	3219866772439 33095956708798297 56359133864830127 384438101927996319709178028450440287	23088917754683718469949879251653957438954592108951 44772000307196648167850911893967	82	270.283
9811	7770313 3219866772439 33095956708798297 56359133864830127 384438101927996319709178028450440287	17940811778514970851539165609755701698935557347388 285058756023014108815078122751546401671	89	293.173

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27	Seth_Tr	Manual testing	100000000	100000000		-	skipped known factor: 7770313 skipped known factor: 3219866772439 skipped known factor: 56359133864830127	-	-	0.018	-	-	26.497%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 7770313 skipped known factor: 3219866772439 skipped known factor: 33095956708798297 skipped known factor: 56359133864830127	-	-	0.071	-	-	30.184%

ECM factoring results:

Total ECM effort:	29.570 GHz-days
Estimated T-Level:	39.245

Digits	B1	Complete	FacMiss
20	11000	769.464	0.000%
25	50000	202.629	0.000%
30	250000	40.574	0.000%
35	1000000	6.478	0.154%
40	3000000	0.849	42.780%
45	11000000	0.096	90.824%
50	44000000	0.009	99.062%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	5	0.001
250000	25000000	5	0.003
1000000	100000000	4	0.010
3000000	300000000	3,822	29.17
10000000	1000000000	15	0.382

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-29	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-30	Rob_Dee	twopc	250000	25000000						1	0.001
2009-08-31	Rob_Dee	twopc	250000	25000000						1	0.001
2009-09-01	Rob_Dee	twopc	1000000	100000000						2	0.005
2009-09-02	Rob_Dee	twopc	250000	25000000						3	0.002
2009-09-02	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-04	Rob_Dee	twopc	50000	5000000						1	0.000
2009-09-26	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-27	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-27	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-27	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-09-27	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-01	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-02	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-05	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-07	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-08	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-09	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-10	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-11	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-12	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-13	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-14	Carsten Kossendey	durandal	3000000	300000000						1	0.008
2009-10-14	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-15	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-16	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-17	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-21	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-27	Rob_Dee	twopc	10000000	1000000000						3	0.076
2009-10-31	Rob_Dee	twopc	10000000	1000000000						3	0.076
2009-11-03	Rob_Dee	twopc	10000000	1000000000						3	0.076
2009-11-06	Rob_Dee	twopc	10000000	1000000000						3	0.076
2009-11-09	Rob_Dee	twopc	10000000	1000000000						3	0.076
2011-03-07	James Hintz	NEW_OMFG	3000000	300000000						101	0.771
2011-04-24	James Hintz	17_051310	3000000	300000000						11	0.084
2018-06-22	Hexaflexagon	crou	3000000	300000000						3689	28.16

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

CA4BFD32488EF0__

2017-09-21

Oliver Kruse

Manual testing

CA4BFD32488EF0__

2017-10-02

kkmrkkblmbrbk

Manual testing

7770313

3219866772439

33095956708798297

56359133864830127

384438101927996319709178028450440287

CA4BFD32488EF0__

2017-12-07

ATH

Manual testing

7770313

3219866772439

33095956708798297

56359133864830127

384438101927996319709178028450440287

CA4BFD32488EF0__

2020-04-17

Oliver Kruse

Manual testing

7770313

3219866772439

33095956708798297

56359133864830127

384438101927996319709178028450440287

AE6B2238E12014__

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