M1 213 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	1000000000000	2232843418649100000	2,876,234.7953	81.0473%	2,876,234.7953	81.0473%
Target	2⁴⁴	0.0019	75.0000%	500	80000	0.0000	0.6456%	0.0019	75.1614%
Difference	-44	-0.0019	-75.0000%	+999999999500	+2232843418649020000	+2,876,234.7953	+80.4017%	+2,876,234.7933	+5.8859%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1213	327511	6	18.321	135 3³ × 5	-	27	27	2.963e-11	6.384e-10	1.299e-9
1213	71507984186448657279855038902524277323322301354506 4445043124471	63	208.798	29475673613540254443468688747949001369877288274734 7256819095 5 × 643 × 827 × 28759620569 × 3854731209396372175074458709791410138299091	2015-06-26	28759620569	3854731209396372175074458709791410138299091	1.530e+14	4.965e+30	9.274e+30

exponent	prime factors	composite factor	digits	bits*
1213	327511 71507984186448657279855038902524277323322301354506 4445043124471	23419651408887986194382603646004628590438610238915 7601460518738621681	69	227.119

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-07	kkmrkkblmbrbk	Manual testing	1000000000	100000000000	12	-	skipped known factor: 327511	-	-	0.151	-	-	43.856%
2016-09-10	kkmrkkblmbrbk	Manual testing	100000000000	5000000000000	12	-	skipped known factor: 327511	-	-	8.676	-	-	52.721%
2019-03-30	ANONYMOUS	Manual testing	1000000	100000000	12	-	skipped known factor: 327511	-	-	0.000	-	-	23.045%
2019-03-31	ANONYMOUS	Manual testing	20000000000	2000000000000	12	-	skipped known factor: 327511	-	-	3.023	-	-	51.290%
2021-03-27	nordi	Manual testing	1000000000000	2232843418649129478		-	skipped known factor: 327511	-	-	2,876,235	-	-	81.047%
2022-01-26	Ethan O'Connor	Manual testing	130000000	82524147746040		-	skipped known factor: 327511	-	-	106.3	-	-	57.448%
unknown			1000000000000	2232843418649100000		-	skipped known factor: 327511	-	-	2,876,235	-	-	81.047%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-07-18	ViliamF	3	1000000000	221000000000	2	7			-	-	0.314
2023-04-11	JacobZ	Desktop-Neon	1000000000	221000000000	6	5			-	-	0.314

ECM factoring results:

Total ECM effort:	149,530.388 GHz-days
Estimated T-Level:	61.634

Digits	B1	Complete	FacMiss
20	11000	49,301.882	0.000%
25	50000	25,582.403	0.000%
30	250000	9,604.605	0.000%
35	1000000	3,139.613	0.000%
40	3000000	866.109	0.000%
45	11000000	214.961	0.000%
50	44000000	48.081	0.000%
55	110000000	9.804	0.006%
60	260000000	1.854	15.659%
65	800000000	0.327	72.123%
70	2400000000	0.054	94.776%
75	7200000000	0.005	99.522%

ECM Summary

B1	B2	factor	curves	GHz-days
120	12000		10,000	0.000
50000	5000000		1,100	0.019
250000	25000000		740	0.063
500000	50000000		100	0.017
750000	75000000		100	0.026
1000000	1000000		1,580	0.364
1000000	100000000		2,590	0.881
3000000	300000000		5,700	5.818
44000000	4400000000		13,679	204.8
110000000	11000000000		1,420	53.14
110000000	11000000000	327511	2	0.075
110000000	776278396540		10,753	9,509
110000000	1100000000000		1,316	1,635
150000000	15000000000		445	22.71
200000000	200000000		1,249	57.62
200000000	2000000000000		616	1,392
260000000	26000000000		11,340	1,003
260000000	3178559884516		32,265	115,420
800000000	800000000		10	1.845
800000000	80000000000		1,107	301.3
850000000	85000000000		18,216	5,268
850000000	93117011237250		10	1,032
2900000000	290000000000		5,057	4,989
2900000000	105101237217912		2	234.0
2900000000	454194347246640		2	1,007
7600000000	760000000000		2,848	7,364
10000000000	1000000000000	327511	1	3.402
various			43	24.6885

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-04	Matthias Wurtinger	WUR_E6600	44000000	4400000000						6	0.090
2009-02-07	Matthias Wurtinger	AMD_Funzel	44000000	4400000000						6	0.090
2009-04-13	Matthias Wurtinger	WUR_E6600	44000000	4400000000						272	4.072
2009-05-09	Rob_Dee	twopc	44000000	4400000000						1	0.015
2009-10-13	Carsten Kossendey	durandal	44000000	4400000000						1	0.015
2010-12-30	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2010-12-30	ANONYMOUS	13_052010	44000000	4400000000						3	0.045
2011-01-01	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-04	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-06	James Hintz	13_052010	44000000	4400000000						3	0.045
2011-01-06	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-10	James Hintz	17_051310	44000000	4400000000						3	0.045
2011-01-11	James Hintz	NEW_OMFG	44000000	4400000000						3	0.045
2011-01-31	James Hintz	OMFG	44000000	4400000000						111	1.662
2011-02-04	James Hintz	OMFG	44000000	4400000000						111	1.662
2011-03-20	Thomas N	Manual testing	44000000	4400000000						200	2.994
2011-07-25	Carsten Kossendey	leela	44000000	4400000000						100	1.497
2011-10-29	Michael Kenn	Edkar-V	44000000	4400000000						273	4.087
2011-12-13	Michael Kenn	Manual testing	44000000	4400000000						12012	179.8
2012-02-04	Michael Kenn	Manual testing	44000000	4400000000						562	8.413
2012-08-31	BloodIce	URM2	110000000	11000000000						10	0.374
2013-03-31	Never Odd Or Even	Sandy_Snr	200000000	2000000000000						1	2.259
2013-03-31	Never Odd Or Even	Manual testing	200000000	2000000000000						1	2.259
2013-03-31	Never Odd Or Even	Manual testing	200000000	2000000000000						1	2.259
2013-03-31	Never Odd Or Even	Manual testing	200000000	2000000000000						1	2.259
2013-03-31	Never Odd Or Even	Manual testing	200000000	2000000000000						1	2.259
2013-05-02	Never Odd Or Even	Note	200000000	2000000000000						1	2.259
2013-05-04	Never Odd Or Even	Notebook	200000000	200000000						100	4.613
2013-05-04	Never Odd Or Even	Notebook	200000000	200000000						100	4.613
2013-05-04	Never Odd Or Even	Notebook	200000000	200000000						100	4.613
2013-05-04	Never Odd Or Even	Notebook	200000000	200000000						100	4.613
2013-05-05	Never Odd Or Even	Manual testing	200000000	2000000000000						400	903.7
2013-05-11	Never Odd Or Even	Notebook	200000000	200000000						212	9.78
2013-05-11	Never Odd Or Even	Notebook	200000000	200000000						215	9.92
2013-05-11	Never Odd Or Even	Notebook	200000000	200000000						212	9.78
2013-05-11	Never Odd Or Even	Notebook	200000000	200000000						210	9.69
2013-05-13	Never Odd Or Even	Manual testing	200000000	2000000000000						210	474.4
2015-01-09	BloodIce	Mjolnir4	150000000	15000000000						445	22.71
2015-02-26	Matthias Wurtinger	i5-4670K	110000000	1100000000000						658	817.6
2015-02-26	Matthias Wurtinger	i5-4670K	110000000	1100000000000						658	817.6
2015-12-09	yatyatling	Manual testing	110000000	11000000000	327511	18.321	1	2		1	0.037
2016-03-05	Robin89	Schrank	1000000	100000000						10	0.003
2016-04-21	alex	Manual testing	110000000	11000000000	327511	18.321	1	2		1	0.037
2016-04-23	Alex	home	110000000	110000000						10	0.254
2016-04-23	Alex	home	110000000	110000000						10	0.254
2016-04-23	Alex	home	110000000	110000000						10	0.254
2016-05-08	Alex	home	110000000	11000000000						1000	37.42
2016-05-27	Alex	home	2900000000	290000000000						1	0.987
2016-05-29	kkmrkkblmbrbk	rp2xl	110000000	11000000000						10	0.374
2016-05-30	kkmrkkblmbrbk	kel1	110000000	11000000000						5	0.187
2016-05-30	kkmrkkblmbrbk	kel1	110000000	11000000000						5	0.187
2016-05-31	kkmrkkblmbrbk	ke2xl1	110000000	11000000000						20	0.748
2016-06-15	Alex	home	2900000000	290000000000						40	39.47
2016-06-29	kkmrkkblmbrbk	kel1	110000000	11000000000						10	0.374
2016-07-17	Bruno Victal	4790K-windows	110000000	11000000000						150	5.614
2016-07-22	kkmrkkblmbrbk	old	110000000	11000000000						10	0.374
2016-08-20	Bruno Victal	Manual testing	110000000	776278396540						10753	9,509
2016-08-24	kkmrkkblmbrbk	kel1	260000000	26000000000						154	13.62
2016-08-28	kkmrkkblmbrbk	kel1	260000000	26000000000						200	17.69
2016-09-04	kkmrkkblmbrbk	kel1	260000000	26000000000						300	26.54
2016-09-05	Bruno Victal	Manual testing	260000000	3178559884516						13824	49,452
2016-10-09	Bruno Victal	Manual testing	260000000	3178559884516						18432	65,936
2018-12-13	Jocelyn Larouche	Manual testing	800000000	80000000000						34	9.254
2019-01-21	kostuek	Manual testing	800000000	80000000000						150	40.83
2019-01-26	kostuek	Manual testing	8000000000	800000000000						5	13.61
2019-02-07	Jocelyn Larouche	Manual testing	800000000	80000000000						20	5.443
2019-02-16	kostuek	Manual testing	800000000	80000000000						150	40.83
2019-03-21	Yuri Sereda		800000000	80000000000						150	40.83
2019-04-17	ANONYMOUS		800000000	80000000000						150	40.83
2019-04-19	ANONYMOUS		800000000	80000000000						150	40.83
2019-04-19	ANONYMOUS		800000000	80000000000						150	40.83
2019-04-20	ANONYMOUS		800000000	80000000000						150	40.83
2019-06-15	Ivan M	GAMERSDREAM	800000000	800000000						10	1.845
2019-08-07	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						100	0.002
2019-08-07	_p95holder_	TFL16_PRPt11-E_b	250000	25000000						100	0.009
2019-08-07	_p95holder_	TFL16_PRPt11-E_b	500000	50000000						100	0.017
2019-08-07	_p95holder_	TFL16_PRPt11-E_b	750000	75000000						100	0.026
2019-08-07	_p95holder_	TFL16_PRPt11-E_b	50000	5000000						1000	0.017
2019-08-07	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1000	0.340
2019-08-08	_p95holder_	TFL16_PRPt11-E_b	3000000	300000000						1000	1.021
2019-09-18	Fan Ming		800000000	80000000000						1	0.272
2019-09-18	Fan Ming		800000000	80000000000						1	0.272
2019-11-16	Ryan Propper	Manual testing	260000000	26000000000						4172	369.0
2019-11-16	Ryan Propper	Manual testing	850000000	85000000000						4108	1,188
2019-11-16	Ryan Propper	Manual testing	2900000000	290000000000						1116	1,101
2019-11-16	Ryan Propper	Manual testing	7600000000	760000000000						724	1,872
2019-11-19	Ryan Propper	Manual testing	260000000	26000000000						5572	492.9
2019-11-19	Ryan Propper	Manual testing	850000000	85000000000						14108	4,080
2019-11-19	Ryan Propper	Manual testing	2900000000	290000000000						3900	3,848
2019-11-19	Ryan Propper	Manual testing	7600000000	760000000000						2124	5,492
2020-07-26	Ahmed Azhad	Google_colab	800000000	80000000000						1	0.272
2020-08-10	Ensigma	T470	36436400	3643640000						1	0.012
2020-08-10	Ensigma	T470	1145141919	114514191900						1	0.390
2020-09-21	Wentao Huang	Manual testing	10000000000	1000000000000	327511	18.321	1	2		1	3.402
2020-09-23	Bruno Victal	Manual testing	2900000000	105101237217912						2	234.0
2021-03-12	_p95holder_	TFL16_PRPt11-E_b	250000	25000000						640	0.054
2021-03-12	_p95holder_	TFL16_PRPt11-E_b	1000000	1000000						1580	0.364
2021-03-12	_p95holder_	TFL16_PRPt11-E_b	1000000	100000000						1580	0.538
2021-03-14	_p95holder_	TFL16_PRPt11-E_b	3000000	300000000						4700	4.797
2021-04-06	MathIsFun_	Manual testing	120	12000						10000	0.000
2021-04-07	MathIsFun_	Computer_L	260000000	26000000000						25	2.211
2021-04-07	MathIsFun_	Computer_L	260000000	26000000000						25	2.211
2021-04-07	MathIsFun_	Computer_L	260000000	26000000000						25	2.211
2021-04-07	MathIsFun_	Computer_L	260000000	26000000000						25	2.211
2021-04-10	MathIsFun_	Manual testing	260000000	3178559884516						9	32.20
2021-08-11	Prism Daymon	Manual testing	110000000	11000000000						100	3.742
2021-08-12	Prism Daymon	Manual testing	110000000	11000000000						100	3.742
2021-09-14	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-20	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-25	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-25	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-25	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-25	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-25	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-09-25	Prism Daymon	Manual testing	260000000	26000000000						100	8.846
2021-11-12	NyanCat	Manual testing	260000000	26000000000						1	0.088
2021-11-12	NyanCat		260000000	26000000000						1	0.088
2021-11-13	NyanCat		260000000	26000000000						10	0.885
2021-11-13	NyanCat		260000000	26000000000						10	0.885
2021-11-13	NyanCat		260000000	26000000000						10	0.885
2021-11-13	NyanCat		260000000	26000000000						10	0.885
2022-07-20	masser	Manual testing	2900000000	454194347246640						2	1,007
2022-10-19	suika_predator	Laptop	850000000	93117011237250						10	1,032
2023-05-28	anonymous2	383838383	7200000000							6	9.92

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