M12 433 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	100000000000	120417199046794650	1,876,193.8988	79.2201%	1,876,193.8988	79.2201%
Target	2⁴⁴	0.0002	68.1818%	500	80000	0.0000	1.3509%	0.0002	68.6116%
Difference	-44	-0.0002	-68.1818%	+99999999500	+120417199046714650	+1,876,193.8988	+77.8692%	+1,876,193.8986	+10.6085%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
12433	9546231463	10	33.152	383907 3 × 73 × 1753	-	73	1753	1.009e-7	4.705e-8	5.111e-8
12433	5724021207430054674311	22	72.278	230194691845494035 5 × 11 × 19 × 104971 × 2098503413	2008-08-29	104971	2098503413	81,498	0.0327	0.0611
12433	176150158946560946542363596265472239571781089	45	146.982	7083976471751023346833571795442461174768 2⁴ × 227 × 23131 × 8231221 × 7453497409 × 1374397936934611	2023-05-11	7453497409	1374397936934611	1.335e+13	21,416	39,995

exponent	prime factors	composite factor	digits	bits*
12433	9546231463 5724021207430054674311	54642831345248037303717886046993	32	105.430
12433	9546231463 176150158946560946542363596265472239571781089	16815701895481110435297724250552803939532102787602 03207	55	180.134
12433	5724021207430054674311 176150158946560946542363596265472239571781089	10082872455022898369620766996471371591347499120812 08505336083904679	67	219.259
12433	9546231463 5724021207430054674311 176150158946560946542363596265472239571781089	96253434267555644801525169279907017464085874673461 16444702527560054562715377	76	252.411

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-09	kkmrkkblmbrbk	Manual testing	100000000	10000000000	12	-	skipped known factor: 9546231463 skipped known factor: 5724021207430054674311	-	-	0.183	-	-	41.692%
2023-05-10	Anton Repko	Manual testing	100000000000	120417199046794650			176150158946560946542363596265472239571781089	45	146.982	1,876,194	4.90413e-6	3,752,388	79.220%

ECM factoring results:

Total ECM effort:	707.053 GHz-days
Estimated T-Level:	39.006

Digits	B1	Complete	FacMiss
20	11000	791.285	0.000%
25	50000	187.188	0.000%
30	250000	37.419	0.000%
35	1000000	5.977	0.254%
40	3000000	0.801	44.875%
45	11000000	0.093	91.111%
50	44000000	0.010	99.040%

ECM Summary

B1	B2	factor	curves	GHz-days
		5724021207430054674311	1	0.00000e+0
50000	5000000		156	0.032
250000	25000000		130	0.134
1000000	100000000		1,517	6.243
3000000	300000000		253	3.123
3000000	22972874925		1,175	371.1
3000000	237574582126		100	318.8
11000000	1100000000		100	4.527
11000000	2200000000		50	2.999
various			28	0.0543

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29	ANONYMOUS	Manual testing			5724021207430054674311	72.278		1		1	-
2009-04-06	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-07	unconnected	dual5430	250000	25000000						30	0.031
2009-06-07	Rob_Dee	twopc	50000	5000000						80	0.016
2009-07-09	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-10	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-11	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-13	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-14	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-15	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-16	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-17	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-18	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-22	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-23	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-26	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-29	Rob_Dee	twopc	500000	50000000						5	0.010
2009-07-30	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-04	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-12	Rob_Dee	twopc	500000	50000000						5	0.010
2009-09-03	Rob_Dee	twopc	500000	50000000						5	0.010
2009-12-31	Matthias Wurtinger	AMD_Funzel	1000000	100000000						100	0.412
2010-02-10	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	50000	5000000						4	0.001
2010-02-11	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-11	Rob_Dee	twopc	100000	10000000						1	0.000
2010-02-11	Rob_Dee	twopc	200000	20000000						1	0.001
2010-02-12	Rob_Dee	twopc	400000	40000000						1	0.002
2010-02-12	Rob_Dee	twopc	50000	5000000						1	0.000
2010-02-12	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-13	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-14	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-15	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-16	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-02-17	Rob_Dee	twopc	1000000	100000000						1	0.004
2010-03-25	James Hintz	NEW_OMFG	1000000	100000000						30	0.123
2010-04-02	James Hintz	02_122109	1000000	100000000						100	0.412
2011-04-12	James Hintz	17_051310	1000000	100000000						11	0.045
2017-03-29	kkmrkkblmbrbk	kel1	1000000	100000000						1270	5.226
2019-01-23	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-01-25	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-01-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-01-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-01-30	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-03	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-06	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-10	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-12	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-14	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-16	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-21	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-23	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-25	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-27	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-06	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-09	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-10	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-20	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-26	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-28	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-30	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-01	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-03	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-06	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-08	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-10	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-12	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-15	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-18	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-21	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-24	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-26	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-28	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-02	nordi	nordiputer	3000000	300000000						100	1.235
2019-05-02	nordi	nordiputer	11000000	1100000000						100	4.527
2023-04-01	Kevin_9611		11000000	2200000000						50	2.999
2023-05-27	Denial140	i5-8400	3000000	237574582126						100	318.8
2023-05-27	Denial140	i5-8400	3000000	22972874925						200	63.17
2023-05-27	Denial140	i5-8400	3000000	22972874925						200	63.17
2023-05-27	Denial140	i5-8400	3000000	22972874925						200	63.17
2023-05-27	Denial140	i5-8400	3000000	22972874925						200	63.17
2023-05-27	Denial140	i5-8400	3000000	22972874925						200	63.17
2023-05-29	Denial140	i5-8400	3000000	22972874925						175	55.27

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