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	3000000000	1.5606	52.2829%	1.5606	52.2829%	52.2829%
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	+2999900000	+1.5605	+42.4227%	+1.5605	-10.8417%	-10.8417%

	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	-		-	-	1.561	-	-	43.883%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.157 GHz-days
Estimated T-Level:	27.203

Digits	B1	Curves	Complete	FacMiss
20	11000	586 / 100	5.860	0.277%
25	50000	556 / 280	1.986	13.680%
30	250000	282 / 640	0.441	64.341%

New Calculation Method

Total ECM effort:	10.157 GHz-days
Estimated T-Level:	27.203

Digits	B1	Complete	FacMiss
20	11000	32.345	0.000%
25	50000	4.203	1.495%
30	250000	0.417	65.921%
35	1000000	0.033	96.772%
40	3000000	0.002	99.787%

ECM Summary

B1	B2	factor	curves	GHz-days
11000	1100000		30	0.039
50000	5000000		274	1.635
250000	25000000		228	6.801
250000	25000000	532300426227820549498020586201	40	1.193
250000	37951073		14	0.489

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

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