M9 221 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	30.0874%	0.0707	30.0874%
Target	2⁴⁴	0.0003	68.1818%	500	10000	0.0000	1.2327%	0.0003	68.5740%
Difference	-44	-0.0003	-68.1818%	+399999500	+399990000	+0.0707	+28.8547%	+0.0705	-38.4866%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
9221	719239	6	19.456	39 3 × 13	-	3	13	7.638e-12	6.268e-10	1.080e-9
9221	91841161	8	26.453	4980 2² × 3 × 5 × 83	-	5	83	1.045e-9	1.636e-9	1.799e-9
9221	168025063	9	27.324	9111 3 × 3037	-	3	3037	3.824e-9	2.976e-8	5.467e-8
9221	5660569039	10	32.398	306939 3 × 101 × 1013	-	101	1013	8.917e-8	2.664e-8	3.635e-8
9221	135084015432199	15	46.941	7324802919 3³ × 7 × 29 × 1336399	-	29	1336399	0.0012	1.288e-5	2.405e-5

exponent	prime factors	composite factor	digits	bits*
9221	719239 91841161	66055744796479	14	45.909
9221	719239 168025063	120850178287057	15	46.780
9221	719239 5660569039	4071302015041321	16	51.854
9221	91841161 168025063	15431616863018143	17	53.777
9221	91841161 5660569039	519873232462414279	18	58.851
9221	168025063 5660569039	951117469393824457	18	59.722
9221	719239 135084015432199	97157692175439376561	20	66.397
9221	719239 91841161 168025063	11099020680940306153177	23	73.233
9221	91841161 135084015432199	12406272809835072943039	23	73.393
9221	168025063 135084015432199	22697500203288209203537	23	74.265
9221	719239 91841161 5660569039	373913103843034383613681	24	78.307
9221	719239 168025063 5660569039	684080777569344908628223	24	79.179
9221	5660569039 135084015432199	764652395419303863086761	24	79.339
9221	91841161 168025063 5660569039	87351732636510804361074577	26	86.175
9221	719239 91841161 135084015432199	8923075249472968028478427321	28	92.850
9221	719239 168025063 135084015432199	16324927348712808299342748343	29	93.721
9221	719239 5660569039 135084015432199	549967824228984691182658894879	30	98.795
9221	91841161 168025063 135084015432199	2084564770467725150863723386457	31	100.718
9221	719239 91841161 168025063 5660569039	62826772829751394417854917686903	32	105.631
9221	91841161 5660569039 135084015432199	70226563756739948597673173969521	32	105.792
9221	168025063 5660569039 135084015432199	128480766913429443011296391490943	33	106.663
9221	719239 91841161 168025063 135084015432199	1499300280946436169782073544751946223	37	120.174
9221	719239 91841161 5660569039 135084015432199	50509683489833883889441855972664314519	38	125.248
9221	719239 168025063 5660569039 135084015432199	92408378314048079162001805319554352377	38	126.119
9221	91841161 168025063 5660569039 135084015432199	11799822799499746537740796709638726104823	41	133.116
9221	719239 91841161 168025063 5660569039 135084015432199	8486892750489398200058152884643847724906789697	46	152.572

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: 719239 skipped known factor: 91841161 skipped known factor: 168025063 skipped known factor: 5660569039 skipped known factor: 135084015432199	-	-	0.018	-	-	26.401%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 719239 skipped known factor: 91841161 skipped known factor: 168025063 skipped known factor: 5660569039 skipped known factor: 135084015432199	-	-	0.071	-	-	30.087%

ECM factoring results:

Total ECM effort:	29.913 GHz-days
Estimated T-Level:	39.295

Digits	B1	Complete	FacMiss
20	11000	778.464	0.000%
25	50000	204.998	0.000%
30	250000	41.047	0.000%
35	1000000	6.553	0.143%
40	3000000	0.859	42.360%
45	11000000	0.097	90.723%
50	44000000	0.010	99.051%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	5	0.001
250000	25000000	5	0.003
1000000	100000000	4	0.010
3000000	300000000	3,867	29.52
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
2009-10-01	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-02	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-03	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-10-06	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
2009-10-18	Rob_Dee	twopc	3000000	300000000						1	0.008
2009-12-10	Rob_Dee	twopc	3000000	300000000						50	0.382
2009-12-11	Rob_Dee	twopc	10000000	1000000000						15	0.382
2011-02-05	James Hintz	NEW_OMFG	3000000	300000000						101	0.771
2011-04-26	James Hintz	17_051310	3000000	300000000						11	0.084
2011-04-26	James Hintz	17_051310	3000000	300000000						11	0.084
2018-05-27	Hexaflexagon	sol	3000000	300000000						3678	28.07

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

08E774D7C7211C__

2017-09-21

Oliver Kruse

Manual testing

08E774D7C7211C__

2017-10-02

kkmrkkblmbrbk

Manual testing

719239

91841161

168025063

5660569039

135084015432199

08E774D7C7211C__

2017-12-07

ATH

Manual testing

719239

91841161

168025063

5660569039

135084015432199

08E774D7C7211C__

2020-04-17

Oliver Kruse

Manual testing

719239

91841161

168025063

5660569039

135084015432199

A1C8B9A07349EC__

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