M235699 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	126.0672	73.1343%	30000000	10120247026890	4,486.3114	23.3416%	4,612.3786	79.4052%	6.2709%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	65000	0.0000	13.7674%	0.0000	61.1953%	6.1953%
GPU72	2⁴⁴	0.0000	59.0909%	4500	100000	0.0001	9.8730%	0.0001	63.1299%	4.0390%
Difference	+23	+126.0672	+14.0434%	+29995500	+10120246926890	+4,486.3113	+13.4686%	+4,612.3785	+16.2753%	+16.2753%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
235699	15084737	8	23.847	32 2⁵	-	32	32	4.774e-12	2.604e-7	5.299e-7
235699	30640871	8	24.869	65 5 × 13	2008-07-21	5	13	9.616e-12	4.423e-8	8.279e-8
235699	377866045241767	15	48.425	801586017 3³ × 311 × 95461	2009-02-01	311	95461	0.0002	4.471e-5	7.903e-5
235699	149267701264936738841989138951	30	96.914	316648991435977112423025 3 × 5² × 541 × 883 × 1193 × 12821 × 577825273	2021-07-08	12821	577825273	1.324e+11	0.2562	0.4784
235699	19147160999551770880152116423617	32	103.917	40617824003393673456722592 2⁵ × 3³ × 19 × 13711 × 252431 × 714887151157	2021-02-05	252431	714887151157	6.798e+11	316.90	591.87

exponent	prime factors	composite factor	digits	bits*
235699	15084737 30640871	462209480485927	15	48.716
235699	15084737 377866045241767	5700009913702156610279	22	72.271
235699	30640871 377866045241767	11578144747533146459057	23	73.294
235699	15084737 30640871 377866045241767	174653268464468913117356113009	30	97.140
235699	15084737 149267701264936738841989138951	2251664016176138027069090717932290887	37	120.760
235699	30640871 149267701264936738841989138951	4573692378925463438018078589998666321	37	121.783
235699	15084737 19147160999551770880152116423617	288829887974895581611353196243643033729	39	127.763
235699	30640871 19147160999551770880152116423617	586685690203496869360297459713029850407	39	128.786
235699	377866045241767 149267701264936738841989138951	56403195959311147013140276407981006951766417	44	145.339
235699	15084737 30640871 149267701264936738841989138951	68992946654994958565618516775460711803042577	44	145.629
235699	377866045241767 19147160999551770880152116423617	7235062004508026108607882221753437116153611239	46	152.342
235699	15084737 30640871 19147160999551770880152116423617	8849999338383226754623445421539150766538937959	46	152.632
235699	15084737 377866045241767 149267701264936738841989138951	85082737700567135386155661372169819086256808587732 9	51	169.185
235699	30640871 377866045241767 149267701264936738841989138951	17282430513769741044916665143212894044591780054292 07	52	170.208
235699	15084737 377866045241767 19147160999551770880152116423617	10913900751669638823748333944212627774321567714055 9143	54	176.188
235699	30640871 377866045241767 19147160999551770880152116423617	22168860155713184645848610873994046048267481815834 9169	54	177.211
235699	15084737 30640871 377866045241767 149267701264936738841989138951	26070091902099142222067308060243384167153327448084 159713559	59	194.054
235699	149267701264936738841989138951 19147160999551770880152116423617	28580527081527412630628201913173064239128300647675 83391005767	61	200.831
235699	15084737 30640871 377866045241767 19147160999551770880152116423617	33441142503871243781506443684954032420400426884415 21568533553	61	201.057
235699	15084737 149267701264936738841989138951 19147160999551770880152116423617	43112973434621857782350457064311250953135552452711 961578890160678279	68	224.677
235699	30640871 149267701264936738841989138951 19147160999551770880152116423617	87573224341708793337884938378348906202584341259465 167665550266903057	68	225.700
235699	377866045241767 149267701264936738841989138951 19147160999551770880152116423617	10799610739221984260738162491861227676512457435209 53766435702082174806270289	76	249.256
235699	15084737 30640871 149267701264936738841989138951 19147160999551770880152116423617	13210190574366752780893464316985997443036535082172 80814895729736512419341009	76	249.546
235699	15084737 377866045241767 149267701264936738841989138951 19147160999551770880152116423617	16290928770353921719137460705299125999731149763383 041555841993319959340613260478993	83	273.102
235699	30640871 377866045241767 149267701264936738841989138951 19147160999551770880152116423617	33090947951071546009730840169015842713764793816524 630154320477294349638377916381719	83	274.125
235699	15084737 30640871 377866045241767 149267701264936738841989138951 19147160999551770880152116423617	49916824692260313974018916473863953617050819458150 0299900193813699735880975975226222722903	90	297.971

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-08T12:20:46	Oliver Kruse	Ollaptop	30000000	3000000000	24		149267701264936738841989138951	30	96.914	1.561	0.003	3.121	12.512%
2022-03-31T13:17:12	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 15084737 skipped known factor: 30640871 skipped known factor: 377866045241767 skipped known factor: 149267701264936738841989138951 skipped known factor: 19147160999551770880152116423617	-	-	4,486	-	-	23.342%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:14:00	J Feitsma	Manual testing	?	?	30640871	24.869	8	1.33413e-13	0.003	2.77088e-13

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.824 GHz-days
Estimated T-Level:	27.516

Digits	B1	Curves	Complete	FacMiss
20	11000	611 / 100	6.110	0.215%
25	50000	599 / 280	2.139	11.729%
30	250000	322 / 640	0.503	60.440%

New Calculation Method

Total ECM effort:	12.824 GHz-days
Estimated T-Level:	27.516

Digits	B1	Complete	FacMiss
20	11000	40.437	0.000%
25	50000	5.603	0.369%
30	250000	0.573	56.394%
35	1000000	0.046	95.483%
40	3000000	0.003	99.695%

ECM Summary

B1	B2	factor	curves	GHz-days
		377866045241767	1	0.00000e+0
11000	1100000		12	0.016
50000	5000000		277	1.653
250000	25000000		297	8.861
250000	36250000		7	0.240
250000	38500000		7	0.246
250000	38500000	19147160999551770880152116423617	4	0.141
250000	551335785		7	1.667

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-01T15:57:00	Matthias Wurtinger	WUR_E6600	11000	1100000						12	0.016
2009-02-01T15:57:00	Matthias Wurtinger	WUR_E6600			377866045241767	48.425		1		1	-
2014-08-04T11:21:00	TJAOI	Manual testing	50000	5000000						46	0.274
2014-12-19T13:17:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-08-07T10:55:00	TJAOI	Manual testing	50000	5000000						90	0.537
2016-04-08T13:16:10	TJAOI	Manual testing	50000	5000000						91	0.543
2017-05-12T15:29:32	TJAOI	Manual testing	250000	25000000						44	1.313
2019-12-10T05:22:10	kracker	O0	250000	25000000						3	0.090
2019-12-11T04:19:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-12T04:30:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-13T05:28:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-14T11:47:17	Ducho_YYZ	oracleDE	250000	25000000						3	0.090
2019-12-15T13:34:27	Ducho_YYZ	oracleKO2	250000	25000000						3	0.090
2019-12-16T10:37:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-17T19:35:18	Ducho_YYZ	oracleAU2	250000	25000000						3	0.090
2019-12-18T18:34:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-19T23:59:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-21T06:28:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22T19:54:39	Ducho_YYZ	oracleSW2	250000	25000000						3	0.090
2019-12-24T11:13:51	astraeus	x7	250000	25000000						3	0.090
2019-12-25T13:48:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-27T13:36:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-29T11:09:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-01T12:56:27	Ducho_YYZ	Dutch	250000	25000000						3	0.090
2020-01-02T09:50:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-04T12:46:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06T15:37:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08T21:14:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-11T00:29:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-13T06:37:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-15T10:48:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-17T15:36:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-20T00:30:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-22T08:55:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24T15:18:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-27T03:27:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-29T18:23:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-01T18:32:43	MarkS	laptop64	250000	25000000						3	0.090
2020-02-04T14:52:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-07T19:39:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-11T06:01:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-14T20:45:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-04-22T05:49:20	Oliver Kruse	IOS-1	250000	25000000						3	0.090
2020-04-23T06:09:36	Oliver Kruse	IOS-1	250000	25000000						3	0.090
2020-04-24T02:59:17	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-24T16:06:28	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-25T04:11:17	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-25T18:37:10	kracker	O0	250000	25000000						3	0.090
2020-04-26T06:34:26	kracker	O0	250000	25000000						3	0.090
2020-04-27T02:21:34	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-04-27T14:11:37	Bommer	3770K	250000	25000000						3	0.090
2020-04-27T16:15:15	Oliver Kruse	IOS-1	250000	25000000						3	0.090
2020-05-02T02:39:12	Oliver Kruse	IOS-2	250000	25000000						3	0.090
2020-05-06T20:16:39	Greg Hogan	azure3	250000	25000000						3	0.090
2020-05-23T02:08:12	nordi	sweet16	250000	25000000						3	0.090
2020-06-08T04:16:07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.090
2020-06-21T22:57:51	MarkS	desktop-i7	250000	25000000						3	0.090
2020-06-30T10:02:24	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.090
2020-07-15T22:25:53	-Anonymous-	aws-nano	250000	25000000						3	0.090
2020-07-25T07:12:56	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.090
2020-08-14T13:20:46	Ahmed Azhad	c5.large.az	250000	25000000						3	0.090
2020-09-26T18:15:40	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2020-10-28T16:52:47	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.209
2020-11-14T18:05:08	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.209
2021-01-12T23:09:59	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-02-05T07:56:44	seatsea	dt	250000	38500000	19147160999551770880152116423617	103.917	4	2	355860205482679	4	0.141
2021-02-15T14:42:33	mnd9	consult	250000	25000000						7	0.209
2021-05-31T13:16:50	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-06-24T15:59:08	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-07-20T17:10:37	Eric	miniPCWindows	250000	38500000						7	0.246
2021-08-29T07:20:43	TBB_Nozomi	Small	250000	25000000						7	0.209
2021-09-30T03:02:30	MarkS	laptop64	250000	25000000						7	0.209
2022-01-07T18:50:04	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-01-21T10:21:05	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-03-19T16:43:52	Corey	tab	250000	25000000						7	0.209
2022-05-15T02:57:43	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2022-06-05T07:57:10	debrouxl	o9020	250000	36250000						7	0.240
2022-07-03T15:57:05	Luminescence	TyrantECM309b1	250000	551335785						7	1.667

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