M198097 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	149.9968	73.1343%	100000000	10000000000	4.2750	14.8173%	154.2718	77.1151%	3.9808%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	50000	0.0000	12.6260%	0.0000	60.6817%	5.6817%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8513%	0.0001	62.7119%	3.6210%
Difference	+23	+149.9968	+14.0434%	+99996400	+9999920000	+4.2749	+5.9660%	+154.2717	+14.4032%	+14.4032%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
198097	2180651777	10	31.022	5504 2⁷ × 43	-	128	128	1.720e-9	8.558e-7	1.742e-6
198097	13682559791	11	33.672	34535 5 × 6907	2008-07-27	5	6907	8.521e-9	2.548e-6	4.697e-6
198097	42395531359	11	35.303	107007 3 × 53 × 673	2008-07-27	53	673	2.684e-8	5.802e-7	7.212e-7
198097	6485513848219158769	19	62.492	16369540801272 2³ × 3⁴ × 37 × 682746947	2014-07-06	81	682746947	6.2033	0.2487	0.4645
198097	268147273649564275518657239538113	33	107.725	676808012361530652959553248 2⁵ × 4016660741 × 5265630271037579	2020-10-24	4016660741	5265630271037579	6.570e+11	1,918,177	3,582,574

exponent	prime factors	composite factor	digits	bits*
198097	2180651777 13682559791	29836898322152898607	20	64.694
198097	2180651777 42395531359	92449890794862574943	20	66.325
198097	13682559791 42395531359	580079392690732985969	21	68.975
198097	2180651777 6485513848219158769	14142647297877216855064982513	29	93.514
198097	13682559791 6485513848219158769	88738431003617138728564457279	29	96.164
198097	42395531359 6485513848219158769	274956805731404111895739337071	30	97.795
198097	2180651777 13682559791 42395531359	1264951158472127697285815916913	31	99.997
198097	2180651777 13682559791 6485513848219158769	193507617256229606996099604424491934783	39	127.186
198097	2180651777 42395531359 6485513848219158769	599585047016430161310550824112678125167	39	128.817
198097	13682559791 42395531359 6485513848219158769	3762112934362308247396707837624660312161	40	131.467
198097	2180651777 268147273649564275518657239538113	584735828781627612685477506052700772676801	42	138.747
198097	13682559791 268147273649564275518657239538113	3668941104503801980881625216015240345814383	43	141.396
198097	42395531359 268147273649564275518657239538113	11368246148840456619437348988410444367185567	44	143.028
198097	2180651777 13682559791 42395531359 6485513848219158769	8203858255591851841507386570066042968735259360097	49	162.489
198097	6485513848219158769 268147273649564275518657239538113	17390728566164614344460835533989307424389349736628 97	52	170.217
198097	2180651777 13682559791 268147273649564275518657239538113	80006829392445584928656360539516427191822288011085 91	52	172.418
198097	2180651777 42395531359 268147273649564275518657239538113	24790186165842348216667467811746387914662847167302 559	53	174.050
198097	13682559791 42395531359 268147273649564275518657239538113	15554670765031503301519326031245927110289567886973 6497	54	176.700
198097	2180651777 6485513848219158769 268147273649564275518657239538113	37923123151131528344768211114098527133993928643054 44542017969	61	201.239
198097	13682559791 6485513848219158769 268147273649564275518657239538113	23794968341559903531654165185162611158888748943503 598480774527	62	203.888
198097	42395531359 6485513848219158769 268147273649564275518657239538113	73728917828268901379673058082858519328139019818487 188858287023	62	205.520
198097	2180651777 13682559791 42395531359 268147273649564275518657239538113	33919320444415897135439485109878788477065421197291 2243704805169	63	207.722
198097	2180651777 13682559791 6485513848219158769 268147273649564275518657239538113	51888539997681346588250231060476382057590779728957 994632995472638884479	71	234.910
198097	2180651777 42395531359 6485513848219158769 268147273649564275518657239538113	16077709567850156062742180578740964341249519967022 2305835558197880989871	72	236.542
198097	13682559791 42395531359 6485513848219158769 268147273649564275518657239538113	10088003265110151131532590092505275229009912874265 84928721021218036892193	73	239.191
198097	2180651777 13682559791 42395531359 6485513848219158769 268147273649564275518657239538113	21998422246444253165715103318634222810014548459883 00181856913256366853412222876961	82	270.214

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-09-30T02:16:20	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 2180651777 skipped known factor: 13682559791 skipped known factor: 42395531359 skipped known factor: 6485513848219158769	-	-	1.361	-	-	12.322%
unknown			100000000	10000000000		-	skipped known factor: 2180651777 MISSED FACTOR! MISSED FACTOR! MISSED FACTOR!	-	-	4.275	-	-	14.817%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-27T10:50:00	J Feitsma	Manual testing	?	?	13682559791	33.672	11	2.74453e-9	0.002	5.69857e-9
2008-07-27T10:50:00	J Feitsma	Manual testing	?	?	42395531359	35.303	11	3.73606e-9	0.002	7.75718e-9

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.899 GHz-days
Estimated T-Level:	28.352

Digits	B1	Curves	Complete	FacMiss
20	11000	710 / 100	7.100	0.080%
25	50000	710 / 280	2.536	7.885%
30	250000	429 / 640	0.670	51.128%

New Calculation Method

Total ECM effort:	11.899 GHz-days
Estimated T-Level:	28.352

Digits	B1	Complete	FacMiss
20	11000	44.815	0.000%
25	50000	6.001	0.248%
30	250000	0.610	54.343%
35	1000000	0.049	95.233%
40	3000000	0.003	99.680%

ECM Summary

B1	B2	factor	curves	GHz-days
		6485513848219158769	1	0.00000e+0
50000	5000000		281	1.371
250000	25000000		398	9.71
250000	25000000	268147273649564275518657239538113	6	0.146
250000	29000000		7	0.180
250000	31250000		11	0.291
250000	38500000		7	0.201

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-06T10:38:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-07-06T10:38:00	TJAOI	Manual testing			6485513848219158769	62.492		1		1	-
2014-12-19T13:16:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-05T09:22:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-03-04T13:10:54	TJAOI	Manual testing	50000	5000000						91	0.444
2017-06-23T12:29:27	TJAOI	Manual testing	250000	25000000						44	1.074
2019-02-15T12:23:01	TJAOI	Manual testing	250000	25000000						100	2.440
2019-12-03T10:20:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T15:42:24	Ducho_YYZ	oracleSP2	250000	25000000						3	0.073
2019-12-05T14:54:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T18:40:05	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-07T20:47:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T19:27:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T19:49:03	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-12-11T00:31:15	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-11T19:33:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T20:30:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T02:32:25	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-14T23:13:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T06:27:06	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-17T08:57:07	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-18T08:27:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T18:40:04	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-20T19:16:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T08:22:17	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-23T11:56:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T20:42:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26T20:05:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T18:16:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30T16:11:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-01T20:19:09	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-01-03T18:53:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05T20:38:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T02:13:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T05:39:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T10:46:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T15:26:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T19:53:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T03:27:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-21T12:45:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T19:36:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-26T05:17:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T18:48:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-03T08:03:22	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-02-03T12:23:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-06T15:32:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-09T22:43:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-13T15:12:18	kracker	O0	250000	25000000						3	0.073
2020-02-17T09:33:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-20T10:49:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-24T05:31:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-27T11:36:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-02T09:51:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-07T01:25:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-12T23:52:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-19T10:09:00	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.073
2020-03-28T18:25:38	Hans Loeblich	tomservo	250000	25000000						3	0.073
2020-04-15T03:26:08	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-04-30T06:52:42	Greg	azure3	250000	25000000						3	0.073
2020-05-04T10:59:05	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-15T01:43:52	kracker	O0	250000	25000000						3	0.073
2020-06-02T09:18:44	nordi	sweet16	250000	25000000						3	0.073
2020-06-18T05:33:49	nordi	sweet16	250000	25000000						3	0.073
2020-06-27T14:24:10	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-07-10T04:14:41	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-07-22T21:49:08	-Anonymous-	aws	250000	25000000						3	0.073
2020-08-04T23:27:54	Ahmed Azhad	c5.xlarge.az	250000	25000000						3	0.073
2020-09-16T22:47:37	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						7	0.171
2020-10-24T01:38:48	nordi	sweet16	250000	25000000	268147273649564275518657239538113	107.725	6	2	4252707194435502	6	0.146
2021-04-05T16:42:40	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-04-05T17:56:49	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-04-06T10:16:13	MarkS	laptop64	250000	25000000						7	0.171
2021-04-17T13:06:58	kyanpu	PCPC	250000	25000000						7	0.171
2021-04-21T21:57:21	Deufo	Ryzen2600	250000	38500000						7	0.201
2021-12-10T07:26:03	mnd9	f4	250000	25000000						7	0.171
2021-12-11T16:23:40	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-12-12T00:28:27	MarkS	desktop-i7	250000	25000000						11	0.268
2021-12-15T05:36:05	MarkS	laptop64	250000	25000000						7	0.171
2021-12-28T03:23:02	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2022-03-01T19:24:17	storm5510	3570_Ivy_Bridge	250000	29000000						7	0.180
2022-05-01T10:38:18	MarkS	desktop-i7	250000	31250000						11	0.291

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