M233747 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	10070832992220	4,464.4073	72.8409%	4,464.4073	72.8409%	72.8409%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	60000	0.0000	13.5479%	0.0000	61.0965%	6.0965%
GPU72	2⁴⁴	0.0000	59.0909%	4500	100000	0.0001	9.8602%	0.0001	63.1246%	4.0337%
Difference	-44	0.0000	-59.0909%	+29995500	+10070832892220	+4,464.4072	+62.9807%	+4,464.4072	+9.7163%	+68.8072%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
233747	43476943	8	25.374	93 3 × 31	-	3	31	1.951e-11	3.682e-8	4.968e-8
233747	532300426227820549498020586201	30	98.748	1138625150756631207027300 2² × 3³ × 5² × 653 × 60082829 × 10748638427	2017-09-08	60082829	10748638427	3.352e+11	5.2268	8.8990
233747	24713315483628402615795891408183812023	38	124.217	52863385377413191646942830085913 3³ × 11 × 43 × 113 × 167 × 1753 × 1011029 × 8027827 × 15416707	2021-07-02	8027827	15416707	6.689e+11	0.0686	0.1329

exponent	prime factors	composite factor	digits	bits*
233747	43476943 532300426227820549498020586201	23142795289982659044754119639087463543	38	124.122
233747	43476943 24713315483628402615795891408183812023	1074459408622729493708008870387797328846685689	46	149.590
233747	532300426227820549498020586201 24713315483628402615795891408183812023	13154908365437995851485830385676505967875552567263 702059453251694623	68	222.965
233747	43476943 532300426227820549498020586201 24713315483628402615795891408183812023	57193520117437091566928591298572546640448523006042 7640407831635091777577489	75	248.339

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-02T07:54:06	Oliver Kruse	Ollaptop	30000000	30000000			24713315483628402615795891408183812023	38	124.217	0.244	0.003	0.488	28.309%
2021-07-05T14:00:23	Oliver Kruse	Manual testing	30000000	3000000000	24	-	skipped known factor: 43476943 skipped known factor: 24713315483628402615795891408183812023	-	-	1.561	-	-	43.883%
2022-03-28T16:24:06	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 43476943 skipped known factor: 24713315483628402615795891408183812023	-	-	4,464	-	-	62.970%

ECM factoring results:

Total ECM effort:	12.236 GHz-days
Estimated T-Level:	28.036

Digits	B1	Complete	FacMiss
20	11000	42.681	0.000%
25	50000	5.919	0.269%
30	250000	0.607	54.484%
35	1000000	0.049	95.210%
40	3000000	0.003	99.675%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		30	0.039
50000	5000000		274	1.635
250000	25000000		249	7.427
250000	25000000	532300426227820549498020586201	40	1.193
250000	36250000		28	0.960
250000	37951073		14	0.489
250000	38500000		14	0.492

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-26T21:43:00	Matthias Wurtinger	WUR_E6600	11000	1100000						30	0.039
2014-08-04T11:21:00	TJAOI	Manual testing	50000	5000000						43	0.257
2015-01-02T14:32:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-07-24T08:18:00	TJAOI	Manual testing	50000	5000000						90	0.537
2016-05-20T14:51:21	TJAOI	Manual testing	50000	5000000						91	0.543
2017-09-08T12:44:57	TJAOI	Manual testing	250000	25000000						4	0.119
2017-09-08T12:44:57	TJAOI	Manual testing	250000	25000000	532300426227820549498020586201	98.748	40	2		40	1.193
2019-12-08T11:23:50	Ducho_YYZ	oracleDE2	250000	25000000						3	0.089
2019-12-09T12:10:38	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-10T10:03:08	Ducho_YYZ	oracle	250000	25000000						3	0.089
2019-12-11T05:35:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12T05:41:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13T13:06:41	Ducho_YYZ	oracleAU2	250000	25000000						3	0.089
2019-12-14T14:31:00	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-15T09:41:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-16T11:51:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17T15:02:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-19T01:06:34	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-20T01:16:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-21T13:33:17	Ducho_YYZ	oracleSW	250000	25000000						3	0.089
2019-12-22T22:02:01	Ducho_YYZ	oracleSW	250000	25000000						3	0.089
2019-12-24T01:09:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-25T15:53:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-27T15:50:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-29T13:12:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01T15:52:41	Ducho_YYZ	Dutch	250000	25000000						3	0.089
2020-01-02T12:05:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-04T15:06:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-06T17:59:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-08T23:42:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-11T03:06:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-13T09:13:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-15T13:19:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-17T18:19:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-20T03:21:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-22T11:23:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-24T17:57:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-27T06:21:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-29T21:13:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-01T16:29:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-05T06:43:21	astraeus	x7	250000	25000000						3	0.089
2020-02-07T23:49:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-11T10:02:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-15T00:45:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-22T14:29:34	Oliver Kruse	IOS-1	250000	25000000						3	0.089
2020-04-23T13:03:04	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-04-24T10:37:46	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-04-24T22:25:51	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.089
2020-04-25T07:40:10	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-04-25T21:46:07	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-04-26T09:38:05	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-04-26T19:31:46	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-04-27T02:38:08	Greg	azure	250000	25000000						3	0.089
2020-05-01T21:15:10	Greg	azure4	250000	25000000						3	0.089
2020-05-02T02:58:55	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-07T18:40:27	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-24T04:24:24	Oliver Kruse	IOS-3	250000	25000000						3	0.089
2020-06-09T01:25:54	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2020-06-22T08:39:59	nordi	sweet16	250000	25000000						3	0.089
2020-07-01T16:14:43	debrouxl	p4	250000	25000000						3	0.089
2020-07-25T18:59:28	Ahmed Azhad	c5.large.az	250000	25000000						3	0.089
2020-08-05T01:49:17	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.089
2020-08-14T14:59:24	ViliamF	3	250000	25000000						3	0.089
2020-09-28T06:22:30	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2020-10-29T09:25:47	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.209
2020-11-18T10:36:05	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-01-11T17:34:23	Lisander Viaene		250000	25000000						7	0.209
2021-02-05T16:45:27	seatsea	dt	250000	37951073						7	0.245
2021-03-30T03:58:41	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-05-12T13:14:47	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-07-04T18:25:24	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-07-14T09:05:12	seatsea	Manual testing	250000	37951073						7	0.245
2021-09-18T15:10:02	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-10-21T01:51:35	Dylan Delgado	colab	250000	38500000						7	0.246
2021-12-27T23:21:59	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-03-01T17:22:37	Dylan Delgado	colab	250000	38500000						7	0.246
2022-05-07T01:58:22	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-06-01T00:37:23	Corey	tab	250000	25000000						7	0.209
2022-06-25T09:44:04	debrouxl	o9020	250000	36250000						7	0.240
2022-07-20T04:31:11	debrouxl	o9020	250000	36250000						7	0.240
2022-08-25T07:22:14	debrouxl	z400	250000	36250000						7	0.240
2022-09-22T16:09:26	debrouxl	dl380g9-1	250000	36250000						7	0.240

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