M192 347 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	154.4808	73.1343%	100000000	2000000000	1.3607	12.2961%	155.8415	76.4377%
Target	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8081%	0.0001	62.6942%
Difference	+23	+154.4808	+14.0434%	+99996400	+1999920000	+1.3607	+3.4880%	+155.8415	+13.7435%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
192347	1538777	7	20.553	4 2²	-	4	4	7.269e-13	2.674e-8	5.443e-8
192347	3462247	7	21.723	9 3²	2008-07-27	9	9	1.455e-12	6.017e-8	1.225e-7
192347	5001023	7	22.254	13 13	2008-07-27	1	13	2.913e-12	1.106e-8	1.361e-8
192347	1003281953	10	29.902	2608 2⁴ × 163	2008-07-27	16	163	5.817e-10	1.605e-7	2.177e-7
192347	64930192097	11	35.918	168784 2⁴ × 7 × 11 × 137	2008-07-27	16	137	3.649e-8	1.511e-7	2.177e-7
192347	4364253141983900090128999	25	81.852	11344739304444311817 3⁴ × 193 × 725691761302649	2016-02-26	193	725691761302649	3,338,027	264,353	493,739

exponent	prime factors	composite factor	digits	bits*
192347	1538777 3462247	5327626051919	13	42.277
192347	1538777 5001023	7695459168871	13	42.807
192347	3462247 5001023	17314776878681	14	43.977
192347	1538777 1003281953	1543827193791481	16	50.455
192347	3462247 1003281953	3473609931928391	16	51.625
192347	5001023 1003281953	5017436122437919	16	52.156
192347	1538777 64930192097	99913086204445369	17	56.472
192347	3462247 64930192097	224804362797261959	18	57.641
192347	5001023 64930192097	324717384071515231	18	58.172
192347	1538777 3462247 5001023	26643580421046113137	20	64.530
192347	1003281953 64930192097	65143289935743325441	20	65.820
192347	1538777 3462247 1003281953	5345111070222973717807	22	72.179
192347	1538777 5001023 1003281953	7720715304176653685063	22	72.709
192347	3462247 5001023 1003281953	17371603162602317743993	23	73.879
192347	1538777 3462247 64930192097	345923782972082365484143	24	78.195
192347	1538777 5001023 64930192097	499667642109413992612487	24	78.725
192347	3462247 5001023 64930192097	1124251788849451393984057	25	79.895
192347	1538777 1003281953 64930192097	100240996257453307092125657	27	86.374
192347	3462247 1003281953 64930192097	225542160150157521278125927	27	87.544
192347	5001023 1003281953 64930192097	325783091264320892626926143	27	88.074
192347	1538777 3462247 5001023 1003281953	26731023399739706691148316561	29	94.433
192347	1538777 3462247 5001023 64930192097	1729972794890392267680605278289	31	100.449
192347	1538777 4364253141983900090128999	6715612357062559828988430694223	31	102.405
192347	3462247 4364253141983900090128999	15110122348074332135348856400753	32	103.575
192347	5001023 4364253141983900090128999	21825730340883749980437196965977	32	104.106
192347	1538777 3462247 1003281953 64930192097	347059088569378940119790779571279	33	108.097
192347	1538777 5001023 1003281953 64930192097	501307527826437910193783529547111	33	108.627
192347	3462247 5001023 1003281953 64930192097	1127941530380621217534897157823321	34	109.797
192347	1003281953 4364253141983900090128999	4378576415675993576981498138655047	34	111.754
192347	64930192097 4364253141983900090128999	283371794868950448533331518580320903	36	117.770
192347	1538777 3462247 4364253141983900090128999	23251108736402776580235707205781499081	38	124.129
192347	1538777 5001023 4364253141983900090128999	33584931856754074143647208635715190129	38	124.659
192347	3462247 5001023 4364253141983900090128999	75566069395533740718518743883862970319	38	125.829
192347	1538777 3462247 5001023 1003281953 64930192097	1735650484294501175254696443823896418417	40	130.351
192347	1538777 1003281953 4364253141983900090128999	6737652681184658368406858761305197257519	40	132.307
192347	3462247 1003281953 4364253141983900090128999	15159713059444961733923460986064020510609	41	133.477
192347	5001023 1003281953 4364253141983900090128999	21897361362053204426336742765871079113081	41	134.008
192347	1538777 64930192097 4364253141983900090128999	436046000393058964342774274166470458155631	42	138.324
192347	3462247 64930192097 4364253141983900090128999	981103146669639083583181450210160305449041	42	139.493
192347	5001023 64930192097 4364253141983900090128999	1417148863690903178975507191045112183283769	43	140.024
192347	1538777 3462247 5001023 4364253141983900090128999	116279329566251222941620117157379009878559863	45	146.382
192347	1003281953 64930192097 4364253141983900090128999	284301807781235985064746831557720142928563559	45	147.672
192347	1538777 3462247 1003281953 4364253141983900090128999	23327417782473539882041541525752635289253385193	47	154.031
192347	1538777 5001023 1003281953 4364253141983900090128999	33695156024616143747545174023038801504389441937	47	154.561
192347	3462247 5001023 1003281953 4364253141983900090128999	75814073683684620865471108630908846046027353007	47	155.731
192347	1538777 3462247 64930192097 4364253141983900090128999	1509698956722867220118877202410039844337958962857	49	160.047
192347	1538777 5001023 64930192097 4364253141983900090128999	2180676077023696921034394028914824590056848210513	49	160.577
192347	3462247 5001023 64930192097 4364253141983900090128999	4906519401867238458698412845674366521237679368943	49	161.747
192347	1538777 1003281953 64930192097 4364253141983900090128999	43747708287218696538997593522389392837518624762734 3	51	168.226
192347	3462247 1003281953 64930192097 4364253141983900090128999	98432308108516094558246452332022189169399039645707 3	51	169.396
192347	5001023 1003281953 64930192097 4364253141983900090128999	14217998796555401297364553937972842623490337155208 57	52	169.926
192347	1538777 3462247 5001023 1003281953 4364253141983900090128999	11666095286075916984150703612574402139216783217805 2439	54	176.285
192347	1538777 3462247 5001023 64930192097 4364253141983900090128999	75500392056470635937605676234282646924505525463040 02711	55	182.301
192347	1538777 3462247 1003281953 64930192097 4364253141983900090128999	15146537177429807043605480118011210818352034602890 25419721	58	189.949
192347	1538777 5001023 1003281953 64930192097 4364253141983900090128999	21878329534167130742154736215012036853646590536680 37771889	58	190.479
192347	3462247 5001023 1003281953 64930192097 4364253141983900090128999	49226223679377548475596534778084660454651549344609 40585679	58	191.649
192347	1538777 3462247 5001023 1003281953 64930192097 4364253141983900090128999	75748180794681545910633008996216779560427347145850 02771609374583	64	212.203

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-08-12	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1538777 skipped known factor: 3462247 skipped known factor: 5001023 skipped known factor: 1003281953 skipped known factor: 64930192097	-	-	1.361	-	-	12.296%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-27	J Feitsma	Manual testing	?	?	1003281953	29.902	10	2.09901e-10	0.002	4.34967e-10
2008-07-27	J Feitsma	Manual testing	?	?	3462247	21.723	7	2.82949e-15	0.002	5.86343e-15
2008-07-27	J Feitsma	Manual testing	?	?	5001023	22.254	7	8.17409e-15	0.002	1.69388e-14
2008-07-27	J Feitsma	Manual testing	?	?	64930192097	35.918	11	1.26919e-8	0.002	2.63002e-8

ECM factoring results:

Total ECM effort:	20.779 GHz-days
Estimated T-Level:	29.517

Digits	B1	Complete	FacMiss
20	11000	59.071	0.000%
25	50000	8.559	0.019%
30	250000	0.903	40.517%
35	1000000	0.075	92.817%
40	3000000	0.005	99.501%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		219	1.068
50000	5000000	4364253141983900090128999	62	0.302
250000	25000000		422	10.29
250000	33750000		7	0.190
250000	36000000		21	0.586
250000	38000000		7	0.200
250000	38500000		14	0.402
250000	551335785		40	7.742

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-06	TJAOI	Manual testing	50000	5000000						50	0.244
2014-12-12	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-12	TJAOI	Manual testing	50000	5000000						90	0.439
2016-02-26	TJAOI	Manual testing	50000	5000000						29	0.141
2016-02-26	TJAOI	Manual testing	50000	5000000	4364253141983900090128999	81.852	62	2		62	0.302
2017-05-19	TJAOI	Manual testing	250000	25000000						44	1.073
2019-04-10	happy5214	Cosmic	250000	25000000						3	0.073
2019-05-20	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-06-14	TJAOI	Manual testing	250000	25000000						100	2.438
2019-11-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02	kracker	O0	250000	25000000						3	0.073
2019-12-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11	Ducho_YYZ	oracle	250000	25000000						3	0.073
2019-12-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-16	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2019-12-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10	kracker	O0	250000	25000000						3	0.073
2020-01-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24	kracker	O0	250000	25000000						3	0.073
2020-01-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-17	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-22	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-23	TBB_IL	Small	250000	25000000						3	0.073
2020-04-23	kracker	O0	250000	25000000						3	0.073
2020-04-24	kracker	O0	250000	25000000						3	0.073
2020-04-25	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-25	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-27	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-05-01	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-05-06	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-05-20	kracker	O0	250000	25000000						3	0.073
2020-06-06	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-06-21	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-06-29	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-07-14	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-07-25	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.073
2020-08-11	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-09-24	nordi	sweet16	250000	25000000						7	0.171
2020-10-27	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2020-11-11	Albrecht Heeffer	Ryzen5-factoring	250000	25000000						7	0.171
2021-01-10	EricBock	alux	250000	25000000						7	0.171
2021-02-15	mnd9	consult	250000	25000000						7	0.171
2021-04-14	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-05-25	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-07-17	Eric	miniPCWindows	250000	38000000						7	0.200
2021-08-22	Dylan Delgado	colab	250000	38500000						7	0.201
2021-09-30	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.201
2021-11-21	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2022-01-29	MarkS	desktop-i7	250000	25000000						7	0.171
2022-03-23	happy5214	Focus	250000	33750000						7	0.190
2022-05-21	debrouxl	z400	250000	36000000						7	0.195
2022-06-13	debrouxl	dl380g9-1	250000	36000000						7	0.195
2022-07-11	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2022-08-04	debrouxl	dl380g9-1	250000	36000000						7	0.195
2022-09-09	JackBlock	school10	250000	25000000						7	0.171
2022-10-03	Luminescence	Monstrum	250000	551335785						40	7.742

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