M195 253 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	152.1816	73.1343%	136885928	8148114134160	2,969.0423	24.6942%	3,121.2239	79.7686%
Target	2⁴⁴	0.0000	59.0909%	3600	400000	0.0002	8.8301%	0.0002	62.7032%
Difference	+23	+152.1816	+14.0434%	+136882328	+8148113734160	+2,969.0421	+15.8642%	+3,121.2237	+17.0654%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
195253	30285551870422101493459865212866235766047	41	134.476	77554639033515750061355946420455091 3² × 7 × 47 × 71 × 401 × 56131 × 122069 × 56477479 × 2377295581	2023-04-15	56477479	2377295581	9.130e+11	1.2230	1.6174

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-06	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.004	-	-	2.612%
2002-06-02	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.485%
2002-07-27	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.146%
2003-02-16	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.935%
2003-10-08	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.840%
2006-02-01	Jocelyn Larouche	v4_computers	1000000	1000000		-		-	-	0.007	-	-	1.922%
2009-02-04	axn	Manual testing	5000000	200000000		-		-	-	0.104	-	-	7.695%
2013-10-07	alpertron	Manual testing	100000000	2000000000		-		-	-	1.361	-	-	12.309%
2023-01-24	Jocelyn Larouche	Manual testing	1000000	74759955270		-		-	-	27.24	-	-	12.421%
2023-04-15	JacobZ	System76-2	136885928	8148114134160			30285551870422101493459865212866235766047	41	134.476	2,969	0.002	5,938	24.694%

date	userid	compid	b1	b2	start	factor	bits*	ghz-days
2023-02-09	masser	Manual testing	30000000	990000000	2	7	-	-	0.648
2023-02-13	masser	Manual testing	30000000	840000000	171	31	-	-	0.594
2023-02-25	masser	Manual testing	30000000	840000000	6	5	-	-	0.594

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-17	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-27	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.012	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.012	-	-
2001-01-28	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.049	-	-
2002-04-28	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.098	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁷	2⁵⁸		-	-	0.098	-	-
2008-12-30	Sturle Sunde	nouchcraft.ifi	2⁵⁸	2⁵⁹		-	-	0.197	-	-
2009-01-25	Sturle Sunde	nouchcraft.ifi	2⁵⁹	2⁶⁰		-	-	0.393	-	-
2013-08-12	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.787	-	-
2015-08-25	NR	Manual testing	2⁶¹	2⁶²		-	-	1.573	-	-
2015-12-02	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	5.028	-	-
2015-12-02	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	10.06	-	-
2018-01-04	BloodERazor	Manual testing	2⁶⁴	2⁶⁵		-	-	19.14	-	-
2019-12-12	Gordon Spence	Manual testing	2⁶⁵	2⁶⁶		-	-	38.27	-	-

ECM factoring results:

Total ECM effort:	69.594 GHz-days
Estimated T-Level:	31.249

Digits	B1	Complete	FacMiss
20	11000	105.201	0.000%
25	50000	17.879	0.000%
30	250000	2.330	9.732%
35	1000000	0.250	77.902%
40	3000000	0.023	97.751%
45	11000000	0.002	99.822%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	277	1.351
250000	25000000	587	14.32
250000	367537170	10	1.346
1000000	100000000	173	16.88
1000000	141609482	7	0.777
1000000	149000000	7	0.793
1000000	164188063	7	0.827
1000000	2366257530	28	23.14
1000000	2662046205	8	7.373
1000000	4135040910	2	2.791

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-16	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-08-25	drew	messier	50000	5000000						1	0.005
2007-09-02	Chad Davis	Bayes	50000	5000000						1	0.005
2007-09-13	Chad Davis	Bayes	50000	5000000						1	0.005
2007-10-05	Chad Davis	Bayes	50000	5000000						1	0.005
2007-11-14	ANONYMOUS	minister	50000	5000000						1	0.005
2008-01-05	ATH	laptop	50000	5000000						1	0.005
2008-01-05	Steve Scott	Abit	50000	5000000						1	0.005
2008-01-06	James Heinrich	WHS	50000	5000000						1	0.005
2008-01-06	Team_Bundu	bundu2	50000	5000000						1	0.005
2008-02-20	Steve Scott	Abit-2	50000	5000000						3	0.015
2008-05-13	Sturle Sunde	v17	50000	5000000						3	0.015
2008-09-03	Sturle Sunde	v17	50000	5000000						3	0.015
2008-09-26	Sturle Sunde	v21	50000	5000000						3	0.015
2008-10-10	Sturle Sunde	v21	50000	5000000						3	0.015
2008-11-04	David Campeau		50000	5000000						3	0.015
2008-11-25	Sturle Sunde	v22	50000	5000000						3	0.015
2008-12-08	Sturle Sunde	v21	50000	5000000						3	0.015
2009-01-09	Sturle Sunde	v23	50000	5000000						3	0.015
2009-01-31	Sturle Sunde	v22	50000	5000000						3	0.015
2009-02-26	Carsten Kossendey	durandal	50000	5000000						1	0.005
2009-02-26	Sturle Sunde	v21	50000	5000000						3	0.015
2009-03-08	Sturle Sunde	v22	50000	5000000						3	0.015
2009-03-20	James Heinrich	WHS	50000	5000000						3	0.015
2009-04-04	Sturle Sunde	x	50000	5000000						3	0.015
2009-04-07	Carsten Kossendey	Manual testing	50000	5000000						1	0.005
2009-04-07	Carsten Kossendey	Manual testing	50000	5000000						1	0.005
2009-04-15	Sturle Sunde	v21	50000	5000000						3	0.015
2009-04-19	Sturle Sunde	v21	50000	5000000						3	0.015
2009-04-21	Sturle Sunde	v21	50000	5000000						3	0.015
2009-04-24	Sturle Sunde	v21	50000	5000000						3	0.015
2009-04-26	Sturle Sunde	v23	50000	5000000						3	0.015
2009-04-29	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-02	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-05	Sturle Sunde	v23	50000	5000000						3	0.015
2009-05-08	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-11	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-13	Sturle Sunde	v23	50000	5000000						3	0.015
2009-05-16	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-23	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-25	Sturle Sunde	v23	50000	5000000						3	0.015
2009-05-26	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-29	Sturle Sunde	v21	50000	5000000						3	0.015
2009-05-31	Sturle Sunde	v21	50000	5000000						3	0.015
2009-06-04	Sturle Sunde	v21	50000	5000000						3	0.015
2009-06-07	Sturle Sunde	v21	50000	5000000						3	0.015
2009-06-09	Sturle Sunde	v23	50000	5000000						3	0.015
2009-06-12	Sturle Sunde	v21	50000	5000000						3	0.015
2009-06-17	Sturle Sunde	v21	50000	5000000						3	0.015
2009-06-22	Sturle Sunde	v23	50000	5000000						3	0.015
2009-06-29	Sturle Sunde	v21	50000	5000000						3	0.015
2009-07-08	Sturle Sunde	v21	50000	5000000						3	0.015
2009-07-17	Sturle Sunde	v21	50000	5000000						3	0.015
2009-07-28	Sturle Sunde	v21	50000	5000000						3	0.015
2009-08-05	Sturle Sunde	v21	50000	5000000						3	0.015
2009-08-16	Sturle Sunde	v21	50000	5000000						3	0.015
2009-08-21	Sturle Sunde	v23	50000	5000000						3	0.015
2009-08-27	ANONYMOUS	v21	50000	5000000						3	0.015
2009-08-29	Sturle Sunde	v21	50000	5000000						3	0.015
2009-08-31	Sturle Sunde	v21	50000	5000000						3	0.015
2009-09-03	Sturle Sunde	v23	50000	5000000						3	0.015
2009-09-05	Sturle Sunde	v21	50000	5000000						3	0.015
2009-09-08	Sturle Sunde	v21	50000	5000000						3	0.015
2009-09-08	Sturle Sunde	v21	50000	5000000						3	0.015
2009-09-13	Sturle Sunde	v23	50000	5000000						3	0.015
2009-09-15	Sturle Sunde	v23	50000	5000000						3	0.015
2009-09-17	Sturle Sunde	v23	50000	5000000						3	0.015
2009-09-20	Sturle Sunde	v21	50000	5000000						3	0.015
2009-09-22	Sturle Sunde	v21	50000	5000000						3	0.015
2009-09-25	Sturle Sunde	v23	50000	5000000						3	0.015
2009-09-29	Sturle Sunde	v21	50000	5000000						3	0.015
2009-10-01	Sturle Sunde	v23	50000	5000000						3	0.015
2009-10-04	Sturle Sunde	v23	50000	5000000						3	0.015
2009-10-09	Sturle Sunde	v23	50000	5000000						3	0.015
2009-10-13	Sturle Sunde	v21	50000	5000000						3	0.015
2009-10-15	Sturle Sunde	v21	50000	5000000						3	0.015
2009-10-18	Sturle Sunde	v21	50000	5000000						3	0.015
2009-10-21	Sturle Sunde	v23	50000	5000000						3	0.015
2009-10-23	Sturle Sunde	v21	50000	5000000						3	0.015
2009-10-25	Sturle Sunde	v23	50000	5000000						3	0.015
2009-10-27	Sturle Sunde	v23	50000	5000000						3	0.015
2009-10-29	Sturle Sunde	v21	50000	5000000						3	0.015
2009-10-31	Sturle Sunde	v21	50000	5000000						3	0.015
2009-11-02	Sturle Sunde	v21	50000	5000000						3	0.015
2009-11-04	Sturle Sunde	v21	50000	5000000						3	0.015
2009-11-06	Sturle Sunde	v23	50000	5000000						3	0.015
2009-11-08	Sturle Sunde	v23	50000	5000000						3	0.015
2009-11-11	Sturle Sunde	v21	50000	5000000						3	0.015
2009-11-13	Sturle Sunde	v23	50000	5000000						3	0.015
2009-11-19	Sturle Sunde	v23	50000	5000000						3	0.015
2009-11-21	Sturle Sunde	v23	50000	5000000						3	0.015
2009-11-24	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.015
2009-11-24	ANONYMOUS	v23	50000	5000000						3	0.015
2009-11-26	Dmitry B. Khachaturov	dix-dubna	50000	5000000						3	0.015
2009-11-29	ANONYMOUS	v21	50000	5000000						3	0.015
2009-12-01	Sturle Sunde	v21	50000	5000000						3	0.015
2009-12-03	Sturle Sunde	v23	50000	5000000						3	0.015
2009-12-05	Sturle Sunde	v23	50000	5000000						3	0.015
2009-12-09	Lackó	Iroda_Andras	50000	5000000						3	0.015
2009-12-10	Sturle Sunde	v23	50000	5000000						3	0.015
2009-12-13	Sturle Sunde	v21	50000	5000000						3	0.015
2009-12-15	Sturle Sunde	v21	250000	25000000						3	0.073
2010-01-06	Sturle Sunde	v23	250000	25000000						3	0.073
2010-01-27	Sturle Sunde	v21	250000	25000000						3	0.073
2010-02-01	Sturle Sunde	v23	250000	25000000						3	0.073
2010-02-13	Sturle Sunde	v21	250000	25000000						3	0.073
2010-03-07	Sturle Sunde	v21	250000	25000000						3	0.073
2010-03-23	Sturle Sunde	v23	250000	25000000						3	0.073
2010-04-03	Sturle Sunde	v23	250000	25000000						3	0.073
2010-04-26	Bud	laptop	250000	25000000						3	0.073
2010-05-05	Sturle Sunde	v21	250000	25000000						3	0.073
2010-05-16	Beat Bucheli	I7	250000	25000000						3	0.073
2010-05-26	Sturle Sunde	v23	250000	25000000						3	0.073
2010-06-03	David Bessell	T413	250000	25000000						3	0.073
2010-06-13	Sturle Sunde	v21	250000	25000000						3	0.073
2010-06-28	Sturle Sunde	v21	250000	25000000						3	0.073
2010-07-25	Sturle Sunde	v21	250000	25000000						3	0.073
2010-08-23	Sturle Sunde	v23	250000	25000000						3	0.073
2010-09-10	David Bessell	T413	250000	25000000						3	0.073
2010-09-25	Sturle Sunde	v23	250000	25000000						3	0.073
2010-10-13	Sturle Sunde	v21	250000	25000000						3	0.073
2010-10-26	Sturle Sunde	v21	250000	25000000						3	0.073
2010-11-12	Sturle Sunde	v21	250000	25000000						3	0.073
2010-11-30	Sturle Sunde	v21	250000	25000000						3	0.073
2011-01-01	David Bessell	T413	250000	25000000						3	0.073
2011-01-04	Sturle Sunde	v23	250000	25000000						3	0.073
2011-01-18	Sturle Sunde	v21	250000	25000000						3	0.073
2011-07-31	Sturle Sunde	v23	250000	25000000						3	0.073
2011-08-02	David Bessell	T413	250000	25000000						3	0.073
2011-08-03	David Bessell	T413	250000	25000000						3	0.073
2011-08-04	David Bessell	T413	250000	25000000						3	0.073
2011-08-04	Sturle Sunde	v23	250000	25000000						3	0.073
2011-08-05	Sturle Sunde	v23	250000	25000000						3	0.073
2011-08-06	Sturle Sunde	v23	250000	25000000						3	0.073
2011-08-08	David Bessell	T413	250000	25000000						3	0.073
2011-08-25	David Bessell	T413	250000	25000000						3	0.073
2011-09-02	Sturle Sunde	001E0B816F24	250000	25000000						3	0.073
2011-09-23	Helmut Kirrmaier	X4270RH5	250000	25000000						3	0.073
2011-10-10	Sturle Sunde	v21	250000	25000000						3	0.073
2011-11-04	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.073
2011-11-30	David Bessell	T413	250000	25000000						3	0.073
2012-01-12	Sturle Sunde	v21	250000	25000000						3	0.073
2012-02-09	David Bessell	T413	250000	25000000						3	0.073
2012-03-07	Sturle Sunde	001CC4F0E695	250000	25000000						3	0.073
2012-04-30	WileECoyote	otto4	250000	25000000						3	0.073
2012-05-04	Sturle Sunde	v21	250000	25000000						3	0.073
2012-10-20	David Bessell	T413	250000	25000000						3	0.073
2012-10-24	Pyro451		250000	25000000						3	0.073
2013-01-21	Sturle Sunde	v23	250000	25000000						3	0.073
2013-06-12	Jacques MOLNE	Poor_lonesome_comput	250000	25000000						3	0.073
2014-01-21	bruce		250000	25000000						3	0.073
2014-01-22	bruce		250000	25000000						3	0.073
2014-01-23	bruce		250000	25000000						3	0.073
2014-01-23	bruce		250000	25000000						3	0.073
2015-11-18	Bruce	Desk8	250000	25000000						3	0.073
2015-11-23	Bruce	Desk7	250000	25000000						3	0.073
2015-11-26	Bruce	Desk8	250000	25000000						3	0.073
2015-11-30	Bruce	Desk7	250000	25000000						3	0.073
2015-12-03	Bruce	Desk7	250000	25000000						3	0.073
2015-12-06	Bruce	Desk7	250000	25000000						3	0.073
2015-12-15	lycorn	asteroid	250000	25000000						410	10.00
2019-07-31	WileECoyote	ScoobyDoo	1000000	100000000						3	0.293
2019-10-15	WileECoyote	ScoobyDoo	1000000	100000000						3	0.293
2019-11-12	Yuji HASEGAWA	x2210g2	1000000	100000000						3	0.293
2020-01-17	nranks	kranks	1000000	100000000						3	0.293
2020-01-19	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-01-21	Stefan G. Hoffmann	PC-HRW-EILab-4	1000000	100000000						3	0.293
2020-01-23	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-01-27	nranks	kranks	1000000	100000000						3	0.293
2020-01-31	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-02-03	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-02-09	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-02-12	nranks	kranks	1000000	100000000						3	0.293
2020-02-17	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-02-22	Stefan G. Hoffmann	PC-SGH-2020-AWOW-1	1000000	100000000						3	0.293
2020-02-26	nranks	kranks	1000000	100000000						3	0.293
2020-03-02	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-03-13	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-03-18	nranks	kranks	1000000	100000000						3	0.293
2020-03-23	nranks	kranks	1000000	100000000						3	0.293
2020-03-26	Stefan G. Hoffmann	PC-SGH-2014-HP	1000000	100000000						3	0.293
2020-03-29	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-04-08	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-04-26	TSRPrime	TSRUUFDREPC	1000000	100000000						3	0.293
2020-05-02	TSRPrime	TSRUUFDREPC	1000000	100000000						3	0.293
2020-05-11	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-05-17	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-05-25	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-05-31	TSRPrime	TSRUUFDREPC	1000000	100000000						3	0.293
2020-06-09	Yuji HASEGAWA	x2210g2	1000000	100000000						3	0.293
2020-06-15	TSRPrime	TSRUUFDREPC	1000000	100000000						3	0.293
2020-06-17	Yuji HASEGAWA	gl235	1000000	100000000						3	0.293
2020-06-24	TSRPrime	TSRUUFDREPC	1000000	100000000						3	0.293
2021-01-08	mtavel	battlestation	1000000	164188063						7	0.827
2021-02-26	-Anonymous-		1000000	100000000						7	0.683
2021-02-28	-Anonymous-		1000000	100000000						7	0.683
2021-03-31	ANONYMOUS	Home	1000000	141609482						7	0.777
2021-04-09	ReadyToRetire	awsOne	1000000	100000000						7	0.683
2021-05-05	-Anonymous-		1000000	100000000						7	0.683
2021-05-16	daveward2005	Davido	1000000	100000000						7	0.683
2021-05-22	daveward2005	Davido	1000000	100000000						7	0.683
2021-06-02	c0r3dump3d	sgaimprime00	1000000	100000000						7	0.683
2021-06-06	c0r3dump3d	sgaimprime00	1000000	100000000						7	0.683
2021-06-07	c0r3dump3d	sgaimprime00	1000000	100000000						7	0.683
2021-06-11	c0r3dump3d	sgaimprime00	1000000	100000000						7	0.683
2021-06-19	c0r3dump3d	sgaimprime00	1000000	100000000						7	0.683
2021-11-04	Luminescence	Main	1000000	149000000						7	0.793
2022-07-10	Luminescence	TyrantECM309b1	1000000	2366257530						7	5.786
2022-07-10	Luminescence	TyrantECM309b1	1000000	2366257530						7	5.786
2022-07-10	Luminescence	TyrantECM309b1	1000000	2366257530						7	5.786
2022-07-10	Luminescence	TyrantECM309b1	1000000	2366257530						7	5.786
2023-01-26	Oliver Kruse	Krusen-NAS	1000000	2662046205						8	7.373
2023-04-16	carlos56	autumnleaves	1000000	4135040910						1	1.395
2023-04-16	carlos56	Manual testing	1000000	4135040910						1	1.395
2023-05-20	USAFSS	6917th_Scty_Sq	250000	367537170						10	1.346

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

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Martin Eibl		18F7C37838CBF02D	0.001
2016-06-01	MadPoo	Manual testing	18F7C37838CBF02D	0.001