M615019 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	194.1189	71.0145%	53000000	826050675450	992.6632	19.8298%	1,186.7821	76.7623%
Target	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4737%	0.0006	61.5790%
Difference	+25	+194.1189	+16.4690%	+52990000	+826050315450	+992.6625	+4.3561%	+1,186.7814	+15.1833%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
615019	9608766942902829128495833	25	82.991	7811764305576599364 2² × 3 × 2689 × 6283213 × 38529671	2022-09-15	6283213	38529671	2,759,093	0.1771	0.2817

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-01-02	ANONYMOUS	v4_computers	2000	200000		-		-	-	0.000	-	-	0.121%
2002-01-22	ANONYMOUS	v4_computers	4096	409600		-		-	-	0.001	-	-	0.276%
2002-03-10	ANONYMOUS	v4_computers	8192	819200		-		-	-	0.001	-	-	0.525%
2002-05-05	ANONYMOUS	v4_computers	16384	1638400		-		-	-	0.002	-	-	0.890%
2002-06-29	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.005	-	-	1.384%
2002-09-29	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.009	-	-	2.009%
2003-05-11	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.018	-	-	2.760%
2011-07-10	Jocelyn Larouche	Manual testing	374376	374376		-		-	-	0.008	-	-	1.155%
2011-08-31	Jocelyn Larouche	Manual testing	623960	623960		-		-	-	0.014	-	-	1.473%
2012-03-10	Jocelyn Larouche	Manual testing	779950	779950		-		-	-	0.017	-	-	1.627%
2012-08-01	Jocelyn Larouche	Manual testing	1230038	1230038		-		-	-	0.027	-	-	1.969%
2013-10-19	David Campeau	i5-2500k	1270000	40640000		-		-	-	0.075	-	-	4.941%
2015-10-22	Bruno Victal	5820K-linux	1600000	66000000	12	-		-	-	0.113	-	-	5.515%
2015-11-06	Sid & Andy	Woody	6150190	184505700	12	-		-	-	0.350	-	-	7.354%
2022-09-15	masser	Manual testing	53000000	826050675450			9608766942902829128495833	25	82.991	1.168	0.019	2.335	19.830%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2022-08-25	masser	Manual testing	5300000	233200000	2	7			-	-	0.437

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-04-15	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.016	-	-
2001-10-20	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.031	-	-
2003-11-08	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.062	-	-
2008-10-13	Sturle Sunde	antonov.ifi	2⁵⁸	2⁵⁹		-	-	0.062	-	-
2008-10-13	Sturle Sunde	antonov.ifi	2⁵⁹	2⁶⁰		-	-	0.125	-	-
2010-08-14	Architects Cubed	m1_fw	2⁶⁰	2⁶¹		-	-	0.250	-	-
2015-07-19	NR	Manual testing	2⁶¹	2⁶²		-	-	0.499	-	-
2015-10-01	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	1.596	-	-
2015-10-02	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	3.192	-	-
2017-06-19	Smok_bmv	Manual testing	2⁶⁴	2⁶⁵		-	-	6.075	-	-
2017-07-10	Smok_bmv	Manual testing	2⁶⁵	2⁶⁶		-	-	12.15	-	-
2018-10-08	Smok_bmv	Manual testing	2⁶⁶	2⁶⁷		-	-	24.30	-	-
2018-10-08	Smok_bmv	Manual testing	2⁶⁷	2⁶⁸		-	-	48.60	-	-
2018-10-08	Smok_bmv	Manual testing	2⁶⁸	2⁶⁹		-	-	97.20	-	-

ECM factoring results:

Total ECM effort:	21.755 GHz-days
Estimated T-Level:	26.843

Digits	B1	Complete	FacMiss
20	11000	27.644	0.000%
25	50000	3.701	2.469%
30	250000	0.369	69.175%
35	1000000	0.029	97.123%
40	3000000	0.002	99.809%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	243	4.125
250000	25000000	179	15.19
250000	36750000	7	0.691
250000	38750000	7	0.708
250000	128992510	5	1.040

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-23	Chad Davis	Bayes	50000	5000000						1	0.017
2007-10-14	James Heinrich	WHS	50000	5000000						1	0.017
2008-01-20	Steve Scott	Asus-2	50000	5000000						3	0.051
2008-09-12	Sturle Sunde	v21	50000	5000000						3	0.051
2008-11-23	Sturle Sunde	v23	50000	5000000						3	0.051
2009-02-05	Sturle Sunde	v23	50000	5000000						3	0.051
2009-03-25	Ryan Schulz	T7400	50000	5000000						3	0.051
2009-06-17	JPH	diablo	50000	5000000						3	0.051
2009-07-09	Architects Cubed	m1_62	50000	5000000						3	0.051
2009-08-11	linded	KCPB8P0-NET214	50000	5000000						3	0.051
2009-09-21	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-10-21	Sturle Sunde	PRE6S33KN9ZE3B5	50000	5000000						3	0.051
2009-11-06	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-11-26	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2009-12-24	David J. Stucki	ds-cbt	50000	5000000						3	0.051
2010-01-10	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-01-28	James Hintz	09_122109	50000	5000000						3	0.051
2010-02-11	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.051
2010-03-06	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2010-03-25	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-04-12	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-04-30	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-05-20	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-06-10	Sturle Sunde	000461A92481	50000	5000000						3	0.051
2010-07-05	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-08-04	josibo	Ziben	50000	5000000						3	0.051
2010-08-29	Sturle Sunde	0020ED7639D0	50000	5000000						3	0.051
2010-09-16	Sturle Sunde	00301BB4FC73	50000	5000000						3	0.051
2010-10-04	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.051
2010-10-19	Sturle Sunde	PRE6S33KN9ZE3B5	50000	5000000						3	0.051
2010-11-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2010-11-24	josibo	Ziben	50000	5000000						3	0.051
2010-12-07	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2010-12-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-11	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-01-23	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-02-09	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-02-24	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-03-10	James Hintz	06_122109	50000	5000000						3	0.051
2011-03-23	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-04-12	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.051
2011-05-05	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-05-22	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-06-06	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2011-07-04	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-07-31	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2011-09-03	Lukasz Wrobel	w-l	50000	5000000						3	0.051
2011-11-10	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.051
2012-01-07	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-02-22	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.051
2012-04-19	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2012-07-03	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.051
2012-09-14	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.051
2013-04-19	Lackó	Iroda_Laci_uj	50000	5000000						3	0.051
2013-11-28	Bruce	bfc-ws	50000	5000000						3	0.051
2014-03-29	Bruce	snowflake	50000	5000000						3	0.051
2014-03-31	Bruce	snowflake	50000	5000000						3	0.051
2014-10-08	LordJulius	Kitty	50000	5000000						3	0.051
2015-07-31	Nacnud	Calculator	50000	5000000						3	0.051
2015-12-04	Nacnud	Calculator	50000	5000000						3	0.051
2016-01-29	tsandstr		50000	5000000						3	0.051
2016-03-26	ANONYMOUS	C272CE75B	50000	5000000						3	0.051
2016-04-01	TJAOI	Manual testing	50000	5000000						11	0.187
2016-06-10	ANONYMOUS	Blaze123	50000	5000000						3	0.051
2016-06-18	bayanne	iMac	50000	5000000						3	0.051
2016-06-24	raman22feb1988	Manual testing	250000	128992510						5	1.040
2016-08-19	TJAOI	Manual testing	50000	5000000						44	0.747
2017-01-03	codest	web	250000	25000000						3	0.255
2017-01-14	Bruce	Desk9	250000	25000000						3	0.255
2017-04-02	Bruce	Desk9	250000	25000000						3	0.255
2017-04-29	James Gardiner		250000	25000000						3	0.255
2017-12-08	Bruce	Desk9	250000	25000000						3	0.255
2018-09-03	ramgeis	kivalzs	250000	25000000						3	0.255
2018-11-09	TJAOI	Manual testing	250000	25000000						29	2.461
2020-07-19	monsted	rootweiler	250000	25000000						3	0.255
2020-08-03	monsted	rootweiler	250000	25000000						3	0.255
2020-08-28	monsted	rootweiler	250000	25000000						7	0.594
2020-09-23	monsted	rootweiler	250000	25000000						7	0.594
2020-11-06	monsted	rootweiler	250000	25000000						7	0.594
2020-11-21	monsted	rootweiler	250000	25000000						7	0.594
2020-12-14	monsted	rootweiler	250000	25000000						7	0.594
2020-12-17	ZacHFX	Ryzen	250000	25000000						7	0.594
2021-01-03	Oliver Kruse	Krusen-NAS	250000	38750000						7	0.708
2021-01-23	GAN	N-34	250000	25000000						7	0.594
2021-02-06	GAN	N-21	250000	25000000						7	0.594
2021-03-11	monsted	rootweiler	250000	25000000						7	0.594
2021-04-09	monsted	rootweiler	250000	25000000						7	0.594
2021-05-04	monsted	rootweiler	250000	25000000						7	0.594
2021-06-02	monsted	rootweiler	250000	25000000						7	0.594
2021-06-19	TSRPrime	TSRLoftus	250000	25000000						7	0.594
2021-07-10	monsted	rootweiler	250000	25000000						7	0.594
2021-07-25	monsted	rootweiler	250000	25000000						7	0.594
2021-10-14	mnd9	75203	250000	25000000						7	0.594
2021-12-08	arnaud	ATTAX04	250000	25000000						7	0.594
2022-05-21	arnaud	ATTAX04	250000	25000000						7	0.594
2022-07-03	Oliver Kruse	Krusen-NAS	250000	36750000						7	0.691

date	userid	compid	res64	spent (GHz-days)
2015-04-11	MadPoo	Manual testing	7B401D572876F716	0.009

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 = 53000000, B2 = 826050675450 (P-1 stage 2)

B1 = 53000000 (P-1 stage 1)

B1 = 6150190, B2 = 184505700 (P-1 stage 2)

B1 = 6150190 (P-1 stage 1)

B1 = 1600000, B2 = 66000000 (P-1 stage 2)

B1 = 1270000, B2 = 40640000 (P-1 stage 2)

B1 = 1600000 (P-1 stage 1)

B1 = 1270000 (P-1 stage 1)

B1 = 1230038 (P-1 stage 1)

B1 = 131072, B2 = 13107200 (P-1 stage 2)

B1 = 779950 (P-1 stage 1)

B1 = 623960 (P-1 stage 1)

B1 = 65536, B2 = 6553600 (P-1 stage 2)

B1 = 374376 (P-1 stage 1)

B1 = 32768, B2 = 3276800 (P-1 stage 2)

B1 = 131072 (P-1 stage 1)

B1 = 16384, B2 = 1638400 (P-1 stage 2)

B1 = 65536 (P-1 stage 1)

B1 = 8192, B2 = 819200 (P-1 stage 2)

B1 = 32768 (P-1 stage 1)

B1 = 4096, B2 = 409600 (P-1 stage 2)

B1 = 16384 (P-1 stage 1)

B1 = 2000, B2 = 200000 (P-1 stage 2)

B1 = 8192 (P-1 stage 1)

B1 = 4096 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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