M20173 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	1,472.9548	77.6119%	500000000	10000000000	0.4722	13.3470%	1,473.4270	90.9589%	28.4589%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	3.7047%	0.0000	66.2047%	3.7047%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.5634%	0.0001	67.4725%	1.5634%
Difference	+23	+1,472.9547	+11.7028%	+499999500	+9999990000	+0.4722	+11.7836%	+1,473.4269	+23.4864%	+23.4864%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
20173	121039	6	16.885	3 3	1	3	-	4.331e-13	5.146e-10	9.443e-10
20173	525947712473	12	38.936	13035932 2² × 7 × 13 × 59 × 607	59	607	2008-08-26	2.959e-6	4.123e-8	5.571e-8
20173	3733330406447	13	41.764	92532851 107 × 864793	107	864793	2008-08-26	2.550e-5	2.191e-5	4.083e-5
20173	41363606209490205247055987452553	32	105.028	1025221985066430507288355412 2² × 11 × 19 × 357853729 × 3426936728665573	357853729	3426936728665573	2017-10-10	9.485e+12	86,633	161,806
20173	242259284775981115080842803960207	33	107.578	6004542823972168618471293411 3 × 449773 × 628373 × 49835969 × 142103537	49835969	142103537	2016-09-06	7.308e+12	0.0255	0.0471
20173	564294434675572061306080966980839	33	108.798	13986378691210332159472586303 13986378691210332159472586303	1	13986378691210332159472586303	2017-10-10	7.620e+12	3.536e+17	6.604e+17

exponent	prime factors	composite factor	digits	bits*
20173	121039 525947712473	63660185170019447	17	55.821
20173	121039 3733330406447	451878579065938433	18	58.649
20173	525947712473 3733330406447	1963536587176694981513431	25	80.700
20173	121039 525947712473 3733330406447	237664504975279983867404174809	30	97.585
20173	121039 41363606209490205247055987452553	5006609531990484952898409665269562567	37	121.913
20173	121039 242259284775981115080842803960207	29322821569999978188270132148539495073	38	124.463
20173	121039 564294434675572061306080966980839	68301634078696566728426734162393771721	38	125.683
20173	525947712473 41363606209490205247055987452553	21755094065515351873188358418428440973793569	44	143.964
20173	525947712473 242259284775981115080842803960207	127415716653272341731017035207774056969561911	45	146.514
20173	3733330406447 41363606209490205247055987452553	154424008782189720983656981686404623617809191	45	146.792
20173	525947712473 564294434675572061306080966980839	296789367078861855536602601268096117272304847	45	147.734
20173	3733330406447 242259284775981115080842803960207	904433954098273095707959146572074740524254529	45	149.342
20173	3733330406447 564294434675572061306080966980839	2106697571163133534218068858131266450331069033	46	150.562
20173	121039 525947712473 41363606209490205247055987452553	2633214830595912675378845714608160067026999798191	49	160.849
20173	121039 525947712473 242259284775981115080842803960207	15422270927995430970780570924513764081538804145529	50	163.399
20173	121039 3733330406447 41363606209490205247055987452553	18691327598987461638140857406340729238076006669449	50	163.677
20173	121039 525947712473 564294434675572061306080966980839	35923088201858360132294842254889085938522506376033	50	164.619
20173	121039 3733330406447 242259284775981115080842803960207	10947178137010087723139566714193735451831524393563 1	51	166.227
20173	121039 3733330406447 564294434675572061306080966980839	25499256731601451984822083651935035988162226468528 7	51	167.447
20173	525947712473 3733330406447 41363606209490205247055987452553	81218954169903146255248516936060165635677293430244 739343	56	185.728
20173	525947712473 3733330406447 242259284775981115080842803960207	47568496924089701812724130759892002920031670230116 0040217	57	188.278
20173	525947712473 3733330406447 564294434675572061306080966980839	11080127684256752122326291866777387551100764314269 98148609	58	189.498
20173	121039 525947712473 3733330406447 41363606209490205247055987452553	98306609937709069195890252414237863883767439195033 93005337377	61	202.613
20173	121039 525947712473 3733330406447 242259284775981115080842803960207	57576432991948934177103160630465681414377133329830 110107825463	62	205.163
20173	121039 525947712473 3733330406447 564294434675572061306080966980839	13411275747747530201342520412628682117976854118349 2428909484751	63	206.383
20173	41363606209490205247055987452553 242259284775981115080842803960207	10020717656066428398369909585238846983723361569852 102569912558471	65	212.606
20173	41363606209490205247055987452553 564294434675572061306080966980839	23341252782127257508429596910331523156180698641611 449083172631967	65	213.826
20173	242259284775981115080842803960207 564294434675572061306080966980839	13670556614757068451587949566025987019834407944169 4559113487473673	66	216.376
20173	121039 41363606209490205247055987452553 242259284775981115080842803960207	12128976443726244269102954862877248000628919610533 28642959646164771369	70	229.491
20173	121039 41363606209490205247055987452553 564294434675572061306080966980839	28252018954959011215628099804296172313009555828820 08185578132200653713	70	230.711
20173	121039 242259284775981115080842803960207 564294434675572061306080966980839	16546705020935808083117538275222194428937369031543 267740537410325906247	71	233.262
20173	525947712473 41363606209490205247055987452553 242259284775981115080842803960207	52703735285459403874538991084322077784253778819135 91547574874683457308508783	76	251.543
20173	525947712473 41363606209490205247055987452553 564294434675572061306080966980839	12276278507013878145339560009558333104055067561990 520095781358900402364424391	77	252.762
20173	3733330406447 41363606209490205247055987452553 242259284775981115080842803960207	37410649919813108287717957784114385801317577442985 090069009185149788082862537	77	254.370
20173	525947712473 242259284775981115080842803960207 564294434675572061306080966980839	71899979797641188667201582186238609503538973374922 240344509011579654161223329	77	255.313
20173	3733330406447 41363606209490205247055987452553 564294434675572061306080966980839	87140608736081323811222899561932360758180679919863 691992729527609626855091249	77	255.590
20173	3733330406447 242259284775981115080842803960207 564294434675572061306080966980839	51036704682927730760533040695899135383322736460841 7605213584658087264301969831	78	258.140
20173	121039 525947712473 41363606209490205247055987452553 242259284775981115080842803960207	63792074152167207855703249418552599729282931344893 9207326915256810989164594585537	81	268.428
20173	121039 525947712473 41363606209490205247055987452553 564294434675572061306080966980839	14859084742104527968337550039969310805817213226357 70561873279899945801787563862249	82	269.648
20173	121039 3733330406447 41363606209490205247055987452553 242259284775981115080842803960207	45281476556442588140370938922314211430056782561214 72316862802761345199761598615943	82	271.255
20173	121039 525947712473 242259284775981115080842803960207 564294434675572061306080966980839	87027016547266918350894123062401350556988537983272 13049059026252589760020310518831	82	272.198
20173	121039 3733330406447 41363606209490205247055987452553 564294434675572061306080966980839	10547412140806547352786608540076731013809431316820 381415107989292341624913389687711	83	272.475
20173	121039 3733330406447 242259284775981115080842803960207 564294434675572061306080966980839	61774316981168896035241587127909354476620006984838 258517447073430224383846126374409	83	275.025
20173	525947712473 3733330406447 41363606209490205247055987452553 242259284775981115080842803960207	19676045747453925183605097817958145190374370925544 032702441250639156764042267508859324001	89	293.306
20173	525947712473 3733330406447 41363606209490205247055987452553 564294434675572061306080966980839	45831403828246692036610270109312558932317720525076 113757544341993685140168351465230448777	89	294.526
20173	525947712473 3733330406447 242259284775981115080842803960207 564294434675572061306080966980839	26842638080145886769879189304143166286797127235470 3558862385649505324499235585722308402063	90	297.076
20173	121039 525947712473 3733330406447 41363606209490205247055987452553 242259284775981115080842803960207	23815689012260756502983774347878359356977234824569 24174270786536112895562912017004823717757039	94	310.191
20173	121039 525947712473 3733330406447 41363606209490205247055987452553 564294434675572061306080966980839	55473872879671513574192704837610828206088045746346 87733099409610573655680837093000028289519303	94	311.411
20173	121039 525947712473 3733330406447 242259284775981115080842803960207 564294434675572061306080966980839	32490060705827779887394071941841847041876374834540 964061144296630474972062976060242486677303457	95	313.961
20173	41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	56546352047735287621347117880399976217776788787059 77886172251232959920400578563595905626924137169	97	321.405
20173	121039 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	68443139055058314784002338011257327214234847379969 28573644031169862358053656287590848211772706387985 91	102	338.290
20173	525947712473 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	29740424508199313824688230051887843894023304540269 76699582819514023923955576461348986717629538903144 824208937	109	360.341
20173	3733330406447 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	21110621547346673208126828343010566434804175266911 63563519204459659925651195273588345779202974336357 7549928543	110	363.168
20173	121039 525947712473 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	35997512420479367460264386772504527370886867582497 12327408048911579417316590193052200033151617592977 46377425525543	114	377.226
20173	121039 3733330406447 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	25552085214692939784384631758096559507022625701317 17465648009885927777408950247198597847689488106984 063065800916177	115	380.053
20173	525947712473 3733330406447 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	11103083111710206436520981600267148414453251073341 53896975612619162917903755409042019856843949089365 0865130455135459816839	122	402.104
20173	121039 525947712473 3733330406447 41363606209490205247055987452553 242259284775981115080842803960207 564294434675572061306080966980839	13439060767582916768700630919147353769370070566661 86535360311758108604201526509550370414525347538276 607064525159140920770375721	127	418.989

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	<	123M	PrimeNet wavefront

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-09-06T18:27:58	kkmrkkblmbrbk	Manual testing	50000000	5000000000	12		242259284775981115080842803960207	33	107.578	0.148	1.29107e-5	0.297	11.307%
2016-11-13T00:50:20	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-		-	-	0.472	-	-	13.347%

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-08-26T19:58:00	ANONYMOUS	Manual testing	?	?	525947712473	38.936	12	1.14415e-6	1.70134e-5	3.01545e-6

Total ECM effort:	20.305 GHz-days
Estimated T-Level:	35.532

Digits	B1	Curves	Complete	FacMiss
20	11000	2527 / 100	25.270	0.000%
25	50000	2527 / 280	9.025	0.012%
30	250000	2370 / 640	3.703	2.458%
35	1000000	1921 / 1580	1.216	29.635%
40	3000000	500 / 4700	0.106	89.907%

B1	B2	factor	curves	GHz-days
50000	5000000		157	0.052
250000	25000000		449	0.749
1000000	100000000		1,026	6.850
1000000	100000000	41363606209490205247055987452553	296	1.976
1000000	100000000	564294434675572061306080966980839	99	0.661
3000000	300000000		500	10.02

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-01T16:22:00	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.010
2009-06-13T06:06:00	unconnected	dual5430	250000	25000000						30	0.050
2009-06-17T17:44:00	Rob_Dee	twopc	50000	5000000						99	0.033
2009-06-22T18:11:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-22T20:02:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-22T22:08:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-23T20:02:00	Rob_Dee	twopc	50000	5000000						6	0.002
2009-06-25T18:23:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-06-25T21:01:00	Rob_Dee	twopc	50000	5000000						6	0.002
2009-06-27T03:40:00	Rob_Dee	twopc	250000	25000000						8	0.013
2011-04-02T08:05:00	James Hintz	17_051310	250000	25000000						11	0.018
2014-10-07T13:43:00	James Hintz	08_04_2014	250000	25000000						400	0.668
2014-10-07T14:02:00	James Hintz	08_04_2014	1000000	100000000						11	0.073
2017-10-10T09:21:55	kkmrkkblmbrbk	r4.2xlarge-4	1000000	100000000	564294434675572061306080966980839	108.798	99	2		99	0.661
2017-10-10T15:26:00	kkmrkkblmbrbk	r4.2xlarge-4	1000000	100000000	41363606209490205247055987452553	105.028	296	2		296	1.976
2017-10-11T12:13:54	kkmrkkblmbrbk	r4.2xlarge-4	1000000	100000000						1015	6.777
2019-03-06T16:14:20	Alex	home	3000000	300000000						500	10.02