M238081 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	unknown	30000000	10120247026890	4,486.3114	72.8891%	4,486.3114	72.8891%	72.8891%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	65000	0.0000	13.9171%	0.0000	61.2627%	6.2627%
GPU72	2⁴⁴	0.0000	59.0909%	4500	100000	0.0001	9.8885%	0.0001	63.1362%	4.0453%
Difference	-44	0.0000	-59.0909%	+29995500	+10120246926890	+4,486.3113	+63.0007%	+4,486.3113	+9.7529%	+9.7529%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
238081	18570319	8	24.146	39 3 × 13	-	3	13	9.467e-12	2.884e-8	4.968e-8
238081	9255323603529598128966079	25	82.937	19437341920458999519 3 × 23 × 281700607542884051	2020-05-26	23	281700607542884051	5,537,880	124,871,619	233,225,410

exponent	prime factors	composite factor	digits	bits*
238081	18570319 9255323603529598128966079	171874311765774163196703227209201	33	107.083

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-14T07:57:06	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 18570319	-	-	1.561	-	-	43.920%
2022-04-03T11:58:42	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 18570319	-	-	4,486	-	-	63.021%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.690 GHz-days
Estimated T-Level:	27.313

Digits	B1	Curves	Complete	FacMiss
20	11000	600 / 100	6.000	0.241%
25	50000	570 / 280	2.036	13.011%
30	250000	296 / 640	0.463	62.948%

New Calculation Method

Total ECM effort:	10.690 GHz-days
Estimated T-Level:	27.313

Digits	B1	Complete	FacMiss
20	11000	33.512	0.000%
25	50000	4.399	1.228%
30	250000	0.438	64.526%
35	1000000	0.035	96.597%
40	3000000	0.002	99.775%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		30	0.039
50000	5000000		274	1.636
250000	25000000		260	7.760
250000	25000000	9255323603529598128966079	1	0.030
250000	36250000		7	0.240
250000	38500000		28	0.985

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-05T20:55:00	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-15T10:40:00	TJAOI	Manual testing	50000	5000000						43	0.257
2015-01-02T14:32:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-08-21T09:46:00	TJAOI	Manual testing	50000	5000000						90	0.537
2016-05-06T13:22:54	TJAOI	Manual testing	50000	5000000						91	0.543
2017-08-04T10:33:16	TJAOI	Manual testing	250000	25000000						44	1.313
2019-12-12T10:22:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-13T11:38:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-14T12:54:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-15T14:57:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-16T17:04:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-17T20:35:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-19T07:12:20	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-20T07:11:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-21T19:23:47	Ducho_YYZ	oracleDE	250000	25000000						3	0.090
2019-12-22T22:52:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-24T07:36:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-26T01:46:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-28T00:49:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-29T22:37:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31T21:14:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-02T21:51:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-05T01:07:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-07T04:36:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-09T14:00:30	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-01-11T14:01:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-13T19:39:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-15T23:50:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-18T05:43:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-22T10:37:40	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-01-22T22:18:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-25T06:04:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-27T17:56:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-30T11:08:54	kracker	O0	250000	25000000						3	0.090
2020-02-02T08:05:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-05T09:42:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-08T18:13:40	kracker	O0	250000	25000000						3	0.090
2020-02-12T02:44:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-15T20:37:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-19T01:27:08	kracker	O0	250000	25000000						3	0.090
2020-02-22T12:13:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-26T05:33:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-29T11:54:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-05T08:15:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-10T17:37:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-16T13:52:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-22T07:25:32	Hans Loeblich	tomservo	250000	25000000						3	0.090
2020-04-11T11:11:26	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-28T17:10:38	kracker	O0	250000	25000000						3	0.090
2020-05-02T17:39:00	Greg Hogan	azure3	250000	25000000						3	0.090
2020-05-08T14:55:53	kracker	O0	250000	25000000						3	0.090
2020-05-26T20:44:29	nordi	sweet16	250000	25000000	9255323603529598128966079	82.937	1	2	5018754817652486	1	0.030
2020-06-01T06:41:44	nordi	sweet16	250000	25000000						3	0.090
2020-06-17T13:51:03	nordi	sweet16	250000	25000000						3	0.090
2020-06-27T08:49:02	nordi	sweet16	250000	25000000						3	0.090
2020-07-08T16:42:53	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-07-22T06:32:36	kracker	O0	250000	25000000						3	0.090
2020-08-03T14:22:55	Chang Chia-Tche	exbpc13	250000	25000000						3	0.090
2020-09-13T19:35:51	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2020-10-23T03:02:17	nordi	sweet16	250000	25000000						7	0.209
2020-11-06T16:51:13	Albrecht Heeffer	Ryzen5-factoring	250000	25000000						7	0.209
2020-12-28T17:43:24	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-01-27T20:42:52	kyanpu	homePC	250000	25000000						7	0.209
2021-03-05T14:55:22	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.209
2021-04-25T23:34:14	nordi	sweet16	250000	38500000						7	0.246
2021-06-19T08:59:45	Jonathan Webb	Desktop2021	250000	25000000						7	0.209
2021-07-29T23:49:03	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.246
2021-09-09T15:29:58	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-10-10T13:05:43	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.246
2021-12-04T04:36:25	Luminescence	W-2295	250000	36250000						7	0.240
2022-02-25T11:18:51	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-04-17T19:17:32	Dylan Delgado	colab	250000	38500000						7	0.246

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