M200597 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	148.1274	73.1343%	50000000	8050000000	3.2485	14.0976%	151.3760	76.9217%	3.7874%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	50000	0.0000	12.6501%	0.0000	60.6926%	5.6926%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8698%	0.0001	62.7195%	3.6285%
Difference	+23	+148.1274	+14.0434%	+49996400	+8049920000	+3.2485	+5.2278%	+151.3759	+14.2023%	+14.2023%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
200597	2808359	7	21.421	7 7	-	1	7	1.395e-12	8.872e-9	1.361e-8
200597	488408761273	12	38.829	1217388 2² × 3 × 101449	2008-07-21	4	101449	2.745e-7	3.698e-5	6.902e-5
200597	124739838683974033673192504719	30	96.655	310921496044243018771947 3 × 11 × 2364001 × 3985558177214059	2021-01-26	2364001	3985558177214059	1.366e+11	1,451,850	2,711,652

exponent	prime factors	composite factor	digits	bits*
200597	2808359 488408761273	1371627140399881007	19	60.251
200597	2808359 124739838683974033673192504719	350314248626686633232413229360146121	36	118.076
200597	488408761273 124739838683974033673192504719	60924030093033604303221141337074996947287	41	135.484
200597	2808359 488408761273 124739838683974033673192504719	171096548228041759947389821264246601351885972033	48	156.905

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-02-27T04:42:50	ViliamF	3	50000000	8050000000		-	skipped known factor: 2808359 skipped known factor: 488408761273	-	-	3.249	-	-	14.098%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:13:00	J Feitsma	Manual testing	?	?	488408761273	38.829	12	9.19857e-8	0.002	1.90869e-7

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.099 GHz-days
Estimated T-Level:	28.391

Digits	B1	Curves	Complete	FacMiss
20	11000	715 / 100	7.150	0.076%
25	50000	715 / 280	2.554	7.745%
30	250000	434 / 640	0.678	50.730%

New Calculation Method

Total ECM effort:	12.099 GHz-days
Estimated T-Level:	28.391

Digits	B1	Complete	FacMiss
20	11000	50.580	0.000%
25	50000	7.153	0.078%
30	250000	0.743	47.556%
35	1000000	0.061	94.120%
40	3000000	0.004	99.598%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.372
250000	25000000		392	9.57
250000	25000000	124739838683974033673192504719	7	0.171
250000	36000000		21	0.587
250000	38500000		14	0.403

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T12:54:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-12-05T13:41:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-05T09:22:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-01-29T11:38:11	TJAOI	Manual testing	50000	5000000						91	0.444
2017-10-13T13:34:44	TJAOI	Manual testing	250000	25000000						44	1.074
2019-05-10T12:35:00	TJAOI	Manual testing	250000	25000000						100	2.441
2019-12-06T14:27:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T22:13:53	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-08T21:18:38	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-09T16:03:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T21:31:42	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-11T16:15:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T16:53:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13T18:07:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T19:34:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T21:51:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T00:17:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T04:21:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T09:39:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T15:02:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T22:47:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23T12:36:16	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-24T15:22:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26T13:36:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T13:36:29	kracker	O0	250000	25000000						3	0.073
2019-12-30T10:04:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-01T09:19:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03T13:32:58	kracker	O0	250000	25000000						3	0.073
2020-01-05T13:08:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-07T19:33:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-09T22:40:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T03:24:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T08:46:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T12:51:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-18T19:42:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-21T05:05:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T12:12:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-25T21:52:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T10:33:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-31T02:36:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-03T02:20:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-06T22:30:56	Adam B	dell	250000	25000000						3	0.073
2020-02-09T11:18:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-13T00:09:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-16T21:39:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-19T22:32:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-24T06:59:37	nordi	sweet16	250000	25000000						3	0.073
2020-02-27T04:07:21	Naegi Makoto	1700	250000	25000000						3	0.073
2020-03-01T15:53:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-06T11:13:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-12T04:58:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-18T13:52:52	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-03-24T07:27:05	Hans Loeblich	tomservo	250000	25000000						3	0.073
2020-04-13T10:48:38	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-29T22:49:23	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-05-04T02:02:51	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-05-10T13:51:52	kracker	O0	250000	25000000						3	0.073
2020-05-30T16:57:55	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-06-16T13:28:31	nordi	sweet16	250000	25000000						3	0.073
2020-06-26T17:33:07	nordi	sweet16	250000	25000000						3	0.073
2020-07-06T17:32:58	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-07-21T05:14:41	kracker	O0	250000	25000000						3	0.073
2020-08-02T00:36:54	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-09-10T22:22:42	Jack Rhys-Burgess	Temp	250000	25000000						7	0.171
2020-10-22T01:09:16	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-11-05T21:58:57	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.171
2020-12-23T15:58:34	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-01-26T01:12:22	Poao	justg-ZA	250000	25000000	124739838683974033673192504719	96.655	7	2	5899865862847438	7	0.171
2021-03-03T18:51:34	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-04-25T06:50:02	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-06-11T03:41:29	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-07-25T11:13:59	Daniil Tsarkov	9900KF	250000	25000000						7	0.171
2021-08-27T14:35:01	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.201
2021-10-04T04:48:10	MarkS	laptop64	250000	25000000						7	0.171
2021-11-21T09:13:10	Dylan Delgado	colab	250000	38500000						7	0.201
2022-02-08T19:36:41	MarkS	desktop-i7	250000	25000000						7	0.171
2022-03-31T00:06:10	Corey	tab	250000	25000000						7	0.171
2022-05-20T04:35:08	debrouxl	dl380g9-1	250000	36000000						7	0.196
2022-06-15T22:10:47	debrouxl	z400	250000	36000000						7	0.196
2022-07-11T05:44:01	debrouxl	athlon2	250000	36000000						7	0.196

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