M1 014 197 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	471.3860	71.8310%	63408112	324771277740	763.0195	17.3956%	1,234.4055	76.7312%
Target	2⁶⁰	0.1514	66.6667%	4500	17000	0.0002	0.5962%	0.1517	66.8654%
Difference	+11	+471.2346	+5.1643%	+63403612	+324771260740	+763.0193	+16.7994%	+1,234.2539	+9.8658%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1014197	1342534953780992319217	22	70.185	661870895783064 2³ × 3 × 11 × 73 × 34343653787	2017-03-10	73	34343653787	316.44	80.415	150.19
1014197	534184234407330417124043593	27	88.787	263353290537898661268 2² × 3 × 7 × 31 × 20565073 × 4917762079	2022-08-03	20565073	4917762079	64,055,969	12.350	21.506

exponent	prime factors	composite factor	digits	bits*
1014197	1342534953780992319217 534184234407330417124043593	717161006450580108528036812233540945870079626681	48	158.973

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-09-30	ANONYMOUS	v4_computers	10000	127500		-		-	-	0.001	-	-	0.266%
2002-09-14	Jocelyn Larouche	v4_computers	11000	11000		-		-	-	0.000	-	-	0.067%
2002-09-14	Jocelyn Larouche	v4_computers	15000	15000		-		-	-	0.001	-	-	0.093%
2002-09-22	Jocelyn Larouche	v4_computers	26000	26000		-		-	-	0.001	-	-	0.158%
2002-09-22	Jocelyn Larouche	v4_computers	27000	27000		-		-	-	0.001	-	-	0.163%
2002-10-07	Jocelyn Larouche	v4_computers	32768	32768		-		-	-	0.001	-	-	0.193%
2003-11-08	ANONYMOUS	v4_computers	15000	198750		-		-	-	0.001	-	-	0.381%
2003-11-16	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.092%
2003-11-16	eteo	v4_computers	200000	2000000		-		-	-	0.013	-	-	1.685%
2003-12-13	ANONYMOUS	v4_computers	15000	198750		-		-	-	0.001	-	-	0.381%
2011-01-07	Rob_Dee	twopc	400000	600000		-		-	-	0.018	-	-	1.220%
2011-01-08	Rob_Dee	twopc	600000	800000		-		-	-	0.026	-	-	1.400%
2011-01-09	Rob_Dee	twopc	800000	1000000		-		-	-	0.035	-	-	1.548%
2011-01-10	Rob_Dee	twopc	1200000	1400000		-		-	-	0.052	-	-	1.786%
2011-01-11	Rob_Dee	twopc	1400000	1600000		-		-	-	0.061	-	-	1.885%
2011-01-12	Rob_Dee	twopc	1600000	1800000		-		-	-	0.069	-	-	1.975%
2011-01-13	Rob_Dee	twopc	1800000	2000000		-		-	-	0.078	-	-	2.058%
2011-01-14	Rob_Dee	twopc	2000000	2200000		-		-	-	0.086	-	-	2.134%
2011-01-15	Rob_Dee	twopc	2200000	2400000		-		-	-	0.095	-	-	2.205%
2011-01-16	Rob_Dee	twopc	2400000	2600000		-		-	-	0.104	-	-	2.272%
2011-01-17	Rob_Dee	twopc	2600000	2800000		-		-	-	0.112	-	-	2.334%
2011-01-18	Rob_Dee	twopc	2800000	3000000		-		-	-	0.121	-	-	2.393%
2011-01-19	Rob_Dee	twopc	3000000	3200000		-		-	-	0.129	-	-	2.449%
2011-01-20	Rob_Dee	twopc	3200000	3400000		-		-	-	0.138	-	-	2.502%
2011-01-21	Rob_Dee	twopc	3400000	3600000		-		-	-	0.147	-	-	2.553%
2011-01-22	Rob_Dee	twopc	3600000	3800000		-		-	-	0.155	-	-	2.602%
2011-01-23	Rob_Dee	twopc	3800000	4000000		-		-	-	0.164	-	-	2.648%
2011-01-24	Rob_Dee	twopc	4000000	4200000		-		-	-	0.172	-	-	2.693%
2011-01-25	Rob_Dee	twopc	4200000	4400000		-		-	-	0.181	-	-	2.736%
2011-01-26	Rob_Dee	twopc	4400000	4600000		-		-	-	0.190	-	-	2.777%
2011-01-27	Rob_Dee	twopc	4600000	4800000		-		-	-	0.198	-	-	2.817%
2011-01-28	Rob_Dee	twopc	4800000	5000000		-		-	-	0.207	-	-	2.855%
2011-01-29	Rob_Dee	twopc	5000000	5100000		-		-	-	0.215	-	-	2.874%
2016-07-13	Jocelyn Larouche	Manual testing	5000000	10200000	6	-		-	-	0.227	-	-	3.554%
2016-08-12	Jocelyn Larouche	Manual testing	5000000	20400000	12	-		-	-	0.251	-	-	4.240%
2016-08-17	Jocelyn Larouche	Manual testing	5000000	40800000	12	-		-	-	0.299	-	-	4.933%
2016-10-13	Jocelyn Larouche	low 4M	5000000	44880000	6	-		-	-	0.308	-	-	5.029%
2021-07-01	ViliamF	3	10000000	960000000		-		-	-	2.654	-	-	8.691%
2022-08-02	Wentao Huang	Manual testing	63408112	324771277740			534184234407330417124043593	27	88.787	763.0	0.060	1,526	17.396%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-10-13	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.019	-	-
2003-01-09	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.038	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.114	-	-
2009-02-15	Sturle Sunde	gofy.ifi	2⁶⁰	2⁶¹		-	-	0.151	-	-
2010-11-10	Michael C	Manual testing	2⁶¹	2⁶²		-	-	0.303	-	-
2010-11-10	Michael C	Manual testing	2⁶²	2⁶³		-	-	0.968	-	-
2010-11-10	Michael C	Manual testing	2⁶³	2⁶⁴		-	-	1.936	-	-
2013-06-03	Never Odd Or Even	Manual testing	2⁶⁴	2⁶⁵		-	-	3.684	-	-
2013-06-03	Never Odd Or Even	Manual testing	2⁶⁵	2⁶⁶		-	-	7.368	-	-
2013-06-03	Never Odd Or Even	Manual testing	2⁶⁶	2⁶⁷		-	-	14.74	-	-
2013-06-03	Never Odd Or Even	Manual testing	2⁶⁷	2⁶⁸		-	-	29.47	-	-
2013-06-03	Never Odd Or Even	Manual testing	2⁶⁸	2⁶⁹		-	-	58.95	-	-
2013-06-03	Never Odd Or Even	Manual testing	2⁶⁹	2⁷⁰		-	-	117.9	-	-
2014-04-01	Never Odd Or Even	Manual testing	2⁷⁰	2⁷¹	MISSED FACTOR!	-	-	235.8	-	-

ECM factoring results:

Total ECM effort:	17.447 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		272	9.472
50000	5000000	1342534953780992319217	9	0.313
250000	25000000		44	7.662

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-09-19	Chad Davis	Bayes	50000	5000000						1	0.035
2008-02-10	Steve Scott	Abit-2	50000	5000000						3	0.104
2008-11-26	Sturle Sunde	v21	50000	5000000						3	0.104
2009-03-16	Sturle Sunde	v21	50000	5000000						3	0.104
2009-07-24	JimBa	Denvserv	50000	5000000						3	0.104
2009-10-13	SubPrime	c2d0	50000	5000000						3	0.104
2010-02-10	maxybo	CB418E216	50000	5000000						3	0.104
2010-08-09	maxybo	CB418E216	50000	5000000						3	0.104
2011-01-23	arnaud	Arnaud-PC	50000	5000000						3	0.104
2011-10-28	Pool Party	sts	50000	5000000						3	0.104
2012-04-27	Pool Party	sts	50000	5000000						3	0.104
2012-09-14	Pool Party	sts	50000	5000000						3	0.104
2013-03-10	Pool Party	sts	50000	5000000						3	0.104
2013-07-18	Pool Party	sts	50000	5000000						3	0.104
2013-09-23	561	561	50000	5000000						3	0.104
2014-03-09	Bruce	snowflake	50000	5000000						3	0.104
2014-07-20	Xyzzy	jv	50000	5000000						3	0.104
2015-02-11	arnaud	sgp-11-100	50000	5000000						3	0.104
2015-04-08	Jason U	Dell-Win7	50000	5000000						3	0.104
2015-07-01	OS1	Tina	50000	5000000						3	0.104
2015-10-06	Jason U	Dell-Win7	50000	5000000						3	0.104
2016-01-05	arnaud	CHAMOT06	50000	5000000						3	0.104
2016-03-04	raman22feb1988	Vinoth_Kumar	50000	5000000						3	0.104
2016-03-31	Christian Keßler		50000	5000000						3	0.104
2016-04-26	raman22feb1988	Anushri_Ayyappan	50000	5000000						3	0.104
2016-05-25	Samuel Schmidt	School-Lab12	50000	5000000						3	0.104
2016-06-26	raman22feb1988	Nithya	50000	5000000						3	0.104
2016-08-25	raman22feb1988	Alex_Pandian	50000	5000000						3	0.104
2016-12-08	raman22feb1988	Alex_Pandian	50000	5000000						3	0.104
2017-01-20	TJAOI	Manual testing	50000	5000000						18	0.627
2017-03-10	TJAOI	Manual testing	50000	5000000						78	2.716
2017-03-10	TJAOI	Manual testing	50000	5000000	1342534953780992319217	70.185	9	2		9	0.313
2018-02-16	TJAOI	Manual testing	50000	5000000						91	3.169
2020-08-21	TJAOI	Manual testing	250000	25000000						44	7.662

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Simon Burge		1CCF72B1F4F1C4FA	0.030
1997-01-01	Ken Kriesel		54EA686ABB50B05C	0.030
2003-06-17	ANONYMOUS	v4_computers	1CCF72B1F4F1C4FA	0.030
2016-06-01	MadPoo	Manual testing	1CCF72B1F4F1C4FA	0.030

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 = 63408112, B2 = 324771277740 (P-1 stage 2)

B1 = 63408112 (P-1 stage 1)

B1 = 10000000, B2 = 960000000 (P-1 stage 2)

B1 = 10000000 (P-1 stage 1)

B1 = 5000000, B2 = 44880000 (P-1 stage 2)

B1 = 5000000, B2 = 40800000 (P-1 stage 2)

B1 = 5000000, B2 = 20400000 (P-1 stage 2)

B1 = 5000000, B2 = 10200000 (P-1 stage 2)

B1 = 5000000, B2 = 5100000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 4800000, B2 = 5000000 (P-1 stage 2)

B1 = 4800000 (P-1 stage 1)

B1 = 4600000, B2 = 4800000 (P-1 stage 2)

B1 = 4600000 (P-1 stage 1)

B1 = 4400000, B2 = 4600000 (P-1 stage 2)

B1 = 4400000 (P-1 stage 1)

B1 = 4200000, B2 = 4400000 (P-1 stage 2)

B1 = 4200000 (P-1 stage 1)

B1 = 4000000, B2 = 4200000 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 3800000, B2 = 4000000 (P-1 stage 2)

B1 = 3800000 (P-1 stage 1)

B1 = 3600000, B2 = 3800000 (P-1 stage 2)

B1 = 3600000 (P-1 stage 1)

B1 = 3400000, B2 = 3600000 (P-1 stage 2)

B1 = 3400000 (P-1 stage 1)

B1 = 3200000, B2 = 3400000 (P-1 stage 2)

B1 = 3200000 (P-1 stage 1)

B1 = 3000000, B2 = 3200000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 2800000, B2 = 3000000 (P-1 stage 2)

B1 = 2800000 (P-1 stage 1)

B1 = 2600000, B2 = 2800000 (P-1 stage 2)

B1 = 2600000 (P-1 stage 1)

B1 = 2400000, B2 = 2600000 (P-1 stage 2)

B1 = 2400000 (P-1 stage 1)

B1 = 2200000, B2 = 2400000 (P-1 stage 2)

B1 = 2200000 (P-1 stage 1)

B1 = 2000000, B2 = 2200000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 1800000, B2 = 2000000 (P-1 stage 2)

B1 = 1800000 (P-1 stage 1)

B1 = 1600000, B2 = 1800000 (P-1 stage 2)

B1 = 1600000 (P-1 stage 1)

B1 = 1400000, B2 = 1600000 (P-1 stage 2)

B1 = 1400000 (P-1 stage 1)

B1 = 1200000, B2 = 1400000 (P-1 stage 2)

B1 = 1200000 (P-1 stage 1)

B1 = 800000, B2 = 1000000 (P-1 stage 2)

B1 = 800000 (P-1 stage 1)

B1 = 600000, B2 = 800000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 400000, B2 = 600000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

B1 = 200000, B2 = 2000000 (P-1 stage 2)

B1 = 200000 (P-1 stage 1)

B1 = 32768 (P-1 stage 1)

B1 = 27000 (P-1 stage 1)

B1 = 26000 (P-1 stage 1)

B1 = 15000, B2 = 198750 (P-1 stage 2)

B1 = 10000, B2 = 127500 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 11000 (P-1 stage 1)

B1 = 10000 (P-1 stage 1)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

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