M9448723 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁹	12.6352	65.2174%	2000000	532106190	12.3762	10.0531%	25.0115	68.7141%
Target	2⁶⁸	6.3082	64.7059%	60000	1400000	0.0533	2.4618%	6.3616	65.5748%
Difference	+1	+6.3270	+0.5115%	+1940000	+530706190	+12.3229	+7.5912%	+18.6499	+3.1393%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
9448723	226769353	9	27.757	12 2² × 3	-	4	4	1.897e-12	1.603e-6	3.262e-6
9448723	3118078591	10	31.538	165 3 × 5 × 11	2008-09-08	5	11	3.136e-11	2.135e-6	4.078e-6
9448723	4686566609	10	32.126	248 2³ × 31	2008-09-08	8	31	6.381e-11	3.708e-6	6.525e-6
9448723	7861337537	10	32.872	416 2⁵ × 13	2008-09-08	32	32	6.601e-11	1.282e-5	2.610e-5
9448723	2319340239919	13	41.077	122733 3² × 13 × 1049	2008-09-30	13	1049	4.854e-8	2.783e-5	4.261e-5
9448723	94226263092718007	17	56.387	4986190361 4986190361	2015-02-12	1	4986190361	0.0020	108.87	203.34
9448723	307012450343407460441	21	68.057	16246240383140 2² × 5 × 812312019157	2022-12-31	5	812312019157	9.0472	17,737	33,127

exponent	prime factors	composite factor	digits	bits*
9448723	226769353 3118078591	707084664684221623	18	59.295
9448723	226769353 4686566609	1062769677714333977	19	59.883
9448723	226769353 7861337537	1782710426980103561	19	60.629
9448723	3118078591 4686566609	14613083008818367919	20	63.664
9448723	3118078591 7861337537	24512268270744370367	20	64.410
9448723	4686566609 7861337537	36842682002982502033	20	64.998
9448723	226769353 2319340239919	525955285593296402407	21	68.834
9448723	3118078591 2319340239919	7231885147336237474129	22	72.615
9448723	4686566609 2319340239919	10869742523314434264671	23	73.203
9448723	7861337537 2319340239919	18233116489149820539503	23	73.949
9448723	226769353 94226263092718007	21367628717143441458839471	26	84.144
9448723	3118078591 94226263092718007	293804893659337465626888137	27	87.925
9448723	4686566609 94226263092718007	441597658301181282659228263	27	88.513
9448723	7861337537 94226263092718007	740744459022021779784928759	27	89.259
9448723	226769353 3118078591 4686566609	3313799379245034587507586407	28	91.421
9448723	226769353 3118078591 7861337537	5558631216319129696516962551	28	92.167
9448723	226769353 4686566609 7861337537	8354791160601086056344594649	28	92.755
9448723	226769353 307012450343407460441	69621014727319137619578664673	29	95.814
9448723	3118078591 4686566609 7861337537	114878377988520737736711275503	30	96.536
9448723	2319340239919 94226263092718007	218542763648135397297191521433	30	97.464
9448723	3118078591 307012450343407460441	957288948586229400390761518631	30	99.595
9448723	4686566609 307012450343407460441	1438834298326683987384279014569	31	100.183
9448723	226769353 3118078591 2319340239919	1639969915831748245462587568537	31	100.372
9448723	7861337537 307012450343407460441	2413528500210977609250675873817	31	100.929
9448723	226769353 4686566609 2319340239919	2464924479288601673760473427863	31	100.959
9448723	226769353 7861337537 2319340239919	4134712029418136323809206251559	31	101.706
9448723	3118078591 4686566609 2319340239919	33892711451629055841947472758561	32	104.741
9448723	3118078591 7861337537 2319340239919	56852290172027139215716374080273	32	105.487
9448723	4686566609 7861337537 2319340239919	85450714916056859738777125255327	32	106.075
9448723	2319340239919 307012450343407460441	712066330237598733239203441544279	33	109.134
9448723	226769353 3118078591 94226263092718007	66625945643361759488869162230865361	35	115.682
9448723	226769353 4686566609 94226263092718007	100140815259273958604343312679823839	36	116.270
9448723	226769353 7861337537 94226263092718007	167978141710758891753736773829522927	36	117.016
9448723	3118078591 4686566609 94226263092718007	1376936204184646787469659195442417433	37	120.051
9448723	3118078591 7861337537 94226263092718007	2309699439078442909083102947898098569	37	120.797
9448723	4686566609 7861337537 94226263092718007	3471548247454376068810798323373208231	37	121.385
9448723	226769353 3118078591 4686566609 7861337537	26050895450146289123636700293620059559	38	124.293
9448723	94226263092718007 307012450343407460441	28928635918797934203702967304020861087	38	124.444
9448723	226769353 2319340239919 94226263092718007	49558801115319583701482070032447042849	38	125.220
9448723	226769353 3118078591 307012450343407460441	217083795504949505836190936757249315743	39	127.352
9448723	226769353 4686566609 307012450343407460441	326283522905751110454593114505289703857	39	127.939
9448723	226769353 7861337537 307012450343407460441	547314296439903755947262582718190730401	39	128.686
9448723	3118078591 2319340239919 94226263092718007	681433512549224039381652147406954940903	39	129.002
9448723	4686566609 2319340239919 94226263092718007	1024215218751930378083966633825805630697	40	129.590
9448723	7861337537 2319340239919 94226263092718007	1718038431306805858830820052119382930521	40	130.336
9448723	3118078591 4686566609 307012450343407460441	4486398421608940465085434485298175992279	40	131.721
9448723	3118078591 7861337537 307012450343407460441	7525571545276188266584895994429005151847	40	132.467
9448723	226769353 3118078591 4686566609 2319340239919	7685828247301611789279298657444003181033	40	132.497
9448723	4686566609 7861337537 307012450343407460441	11311162078958617118760867060912649576553	41	133.055
9448723	226769353 3118078591 7861337537 2319340239919	12892357058878853058388929581689478273369	41	133.244
9448723	226769353 4686566609 7861337537 2319340239919	19377603334901663394174237705350463593431	41	133.832
9448723	226769353 2319340239919 307012450343407460441	161474821001064601010273758674369469681487	42	136.890
9448723	3118078591 4686566609 7861337537 2319340239919	266442044765401256490170806779160527404257	42	137.613
9448723	3118078591 2319340239919 307012450343407460441	2220278779685792553361880332972736328430889	43	140.672
9448723	4686566609 2319340239919 307012450343407460441	3337146286684697259539549258899301356379911	43	141.260
9448723	7861337537 2319340239919 307012450343407460441	5597793770730673050356999614991625750300823	43	142.006
9448723	226769353 3118078591 4686566609 94226263092718007	312246932145228244528023122880977550037330849	45	147.808
9448723	226769353 3118078591 7861337537 94226263092718007	523769047424281414740213078727244522422355857	45	148.554
9448723	226769353 4686566609 7861337537 94226263092718007	787240749983512758142908215204827208078144543	45	149.142
9448723	226769353 94226263092718007 307012450343407460441	6560128050478368077110292099712964967201866711	46	152.200
9448723	3118078591 4686566609 7861337537 94226263092718007	10824560268011060269421693081728695488066082521	47	152.923
9448723	3118078591 94226263092718007 307012450343407460441	90201760325237453095592855273840435172759688417	47	155.982
9448723	4686566609 94226263092718007 307012450343407460441	135575979140956433857253330721242919009761643983	48	156.570
9448723	226769353 3118078591 2319340239919 94226263092718007	154528236753304916062623777538535799648726545759	48	156.758
9448723	7861337537 94226263092718007 307012450343407460441	227417771442652684073626341265382886294295722719	48	157.316
9448723	226769353 4686566609 2319340239919 94226263092718007	232260622489128719339146493226265857576915629041	48	157.346
9448723	226769353 7861337537 2319340239919 94226263092718007	389598463496579309103674399678538745913491122913	48	158.093
9448723	226769353 3118078591 4686566609 307012450343407460441	1017377667368480648282943067954955381849241825487	49	159.477
9448723	226769353 3118078591 7861337537 307012450343407460441	1706568990277491419519648384228957102718010944991	49	160.224
9448723	226769353 4686566609 7861337537 307012450343407460441	2565024906323580517796125985122173133990647780209	49	160.812
9448723	3118078591 4686566609 2319340239919 94226263092718007	3193583546166775851826151961290580960403568107927	49	161.128
9448723	3118078591 7861337537 2319340239919 94226263092718007	5356978851172975501013748295486952091788370575911	49	161.874
9448723	4686566609 7861337537 2319340239919 94226263092718007	8051701545141216572442089036350339723864285573289	49	162.462
9448723	3118078591 4686566609 7861337537 307012450343407460441	35269092317731915612974364031228825565735124876823	50	164.593
9448723	226769353 3118078591 4686566609 7861337537 2319340239919	60420890103447079719663084712798246682602129335721	50	165.370
9448723	2319340239919 94226263092718007 307012450343407460441	67095349372434201718098016405119956566903551131953	50	165.521
9448723	226769353 3118078591 2319340239919 307012450343407460441	50349118234897672061809157797165198383786820374481 7	51	168.428
9448723	226769353 4686566609 2319340239919 307012450343407460441	75676250429784131254665666335222406073829483966758 3	51	169.016
9448723	226769353 7861337537 2319340239919 307012450343407460441	12694080716160250648839932217129000718138571870775 19	52	169.762
9448723	3118078591 4686566609 2319340239919 307012450343407460441	10405484391546702892286639061963827784185461751585 401	53	172.798
9448723	3118078591 7861337537 2319340239919 307012450343407460441	17454360913348474065338825406500630896297308005980 393	53	173.544
9448723	4686566609 7861337537 2319340239919 307012450343407460441	26234433369974573849899289925045609055984408777019 207	53	174.132
9448723	226769353 3118078591 4686566609 7861337537 94226263092718007	24546785284863747341407630243081923973627647545317 78913	55	180.680
9448723	226769353 3118078591 94226263092718007 307012450343407460441	20454994828415166809855438941871433309365157766804 684201	56	183.738
9448723	226769353 4686566609 94226263092718007 307012450343407460441	30744477072136186306996632164751280099675048690241 252999	56	184.326
9448723	226769353 7861337537 94226263092718007 307012450343407460441	51571380890752225771089649772508078422230008631655 030807	56	185.073
9448723	3118078591 4686566609 94226263092718007 307012450343407460441	42273655801327882767400916058535013467468470211635 6267953	57	188.108
9448723	3118078591 7861337537 94226263092718007 307012450343407460441	70910648434826651845866096243325022717203081843298 6208929	57	188.854
9448723	226769353 3118078591 4686566609 2319340239919 94226263092718007	72420687451568539001464034874154608938483575872603 9961231	57	188.884
9448723	4686566609 7861337537 94226263092718007 307012450343407460441	10658085339363298275636833085171822425068900812663 88089871	58	189.442
9448723	226769353 3118078591 7861337537 2319340239919 94226263092718007	12147986281151789454497385450724289457968454084235 74855583	58	189.631
9448723	226769353 4686566609 7861337537 2319340239919 94226263092718007	18258791499407739757655701607415600205109026992619 80612017	58	190.218
9448723	226769353 3118078591 4686566609 7861337537 307012450343407460441	79979492457893369310047949369482325684916132376913 56405519	58	192.350
9448723	226769353 2319340239919 94226263092718007 307012450343407460441	15215168966495859958684575570772438438064819503595 399436409	59	193.277
9448723	3118078591 4686566609 7861337537 2319340239919 94226263092718007	25105838209026447466226078411559815068558080635582 592355799	59	194.000
9448723	3118078591 2319340239919 94226263092718007 307012450343407460441	20920857243385236993337684219237131935811182194641 6465318223	60	197.059
9448723	4686566609 2319340239919 94226263092718007 307012450343407460441	31444682398803923482160859467336940508598045725853 5082757377	60	197.647
9448723	7861337537 2319340239919 94226263092718007 307012450343407460441	52745918857964638302911382861081131354720853837222 0959019761	60	198.393
9448723	226769353 3118078591 4686566609 2319340239919 307012450343407460441	23596449631226444841670698306260641360231607934132 68109015553	61	200.554
9448723	226769353 3118078591 7861337537 2319340239919 307012450343407460441	39581141313485225273341651632121100624451506321578 93851295729	61	201.300
9448723	226769353 4686566609 7861337537 2319340239919 307012450343407460441	59491654816307437383923810914620112611165251564521 66839963071	61	201.888
9448723	3118078591 4686566609 7861337537 2319340239919 307012450343407460441	81801025037933700935719423421386708296020705437416 082142497337	62	205.670
9448723	226769353 3118078591 4686566609 94226263092718007 307012450343407460441	95863695750118205160233552262012951318641115377923 841601196444409	65	215.864
9448723	226769353 3118078591 7861337537 94226263092718007 307012450343407460441	16080361866376102506243310369734545970290444839210 8756456752152937	66	216.611
9448723	226769353 4686566609 7861337537 94226263092718007 307012450343407460441	24169271166262005819121803016934080651637656177089 6247786952523463	66	217.199
9448723	3118078591 4686566609 7861337537 94226263092718007 307012450343407460441	33232747717719669924410426133914739060061041323869 74870924149051761	67	220.980
9448723	226769353 3118078591 4686566609 7861337537 2319340239919 94226263092718007	56932346871836062518045771531166869838965665886528 93246587285028047	67	221.757
9448723	226769353 3118078591 2319340239919 94226263092718007 307012450343407460441	47442092612878337227308519609147145626595393164440 062508760368819719	68	224.815
9448723	226769353 4686566609 2319340239919 94226263092718007 307012450343407460441	71306902828672537019111251433319226321342697663162 154444691838267081	68	225.403
9448723	226769353 7861337537 2319340239919 94226263092718007 307012450343407460441	11961157892811139924830232307742657037818061520274 4220049950716184633	69	226.149
9448723	3118078591 4686566609 2319340239919 94226263092718007 307012450343407460441	98046990988505037816527946323262977983300217802222 8793568190471015807	69	229.185
9448723	3118078591 7861337537 2319340239919 94226263092718007 307012450343407460441	16446592035364270852736655586934140279121392113108 24161441005120036751	70	229.931
9448723	4686566609 7861337537 2319340239919 94226263092718007 307012450343407460441	24719726208076048757318691440275771584697768810949 45959711969273760449	70	230.519
9448723	226769353 3118078591 4686566609 7861337537 2319340239919 307012450343407460441	18549965522589025818088588238800910203088347846646 426939248974915712961	71	233.426
9448723	226769353 3118078591 4686566609 7861337537 94226263092718007 307012450343407460441	75361686983595161841321112408421367338138704815202 0637106727792543405480633	75	248.737
9448723	226769353 3118078591 4686566609 2319340239919 94226263092718007 307012450343407460441	22234052710060117862894575094145074366126235195769 1643135429114493019806162871	78	256.941
9448723	226769353 3118078591 7861337537 2319340239919 94226263092718007 307012450343407460441	37295830349145088205918496668328902447075974979488 5876986744278740421360492103	78	257.687
9448723	226769353 4686566609 7861337537 2319340239919 94226263092718007 307012450343407460441	56056763185425489514936136727179748638376977338025 8826853847338566536896719497	78	258.275
9448723	3118078591 4686566609 7861337537 2319340239919 94226263092718007 307012450343407460441	77078049064783538930067566344058838514252256134889 03635279839918962274089447359	79	262.057
9448723	226769353 3118078591 4686566609 7861337537 2319340239919 94226263092718007 307012450343407460441	17478939316923218208221734266126798203808465402499 06750051757272366647326672641727988727	88	289.813

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-11-23	Tha	Z-170	2000000	532106190			226769353 3118078591 4686566609 7861337537 2319340239919	50	165.370	12.38	5.223	24.75	10.053%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	3118078591	31.538	10	1.08134e-12	5.682	2.35291e-12
2008-09-08	Will Edgington	Manual testing	?	?	4686566609	32.126	10	3.25057e-12	5.682	7.07299e-12
2008-09-08	Will Edgington	Manual testing	?	?	7861337537	32.872	10	5.45258e-12	5.682	1.18644e-11
2008-09-30	markr	Manual testing	?	?	2319340239919	41.077	13	1.75355e-8	5.682	3.81558e-8
2015-03-31	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	94226263092718007	56.387	17	0.001	5.680	0.002
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	226769353 4686566609	59.883	19	0.011	5.666	0.024
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	226769353	27.757	9	1.89726e-12	5.682	4.12829e-12
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	3118078591	31.538	10	3.13589e-11	5.682	6.82344e-11
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	4686566609	32.126	10	6.38056e-11	5.682	1.38836e-10
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	226769353 3118078591	59.295	18	0.012	5.666	0.026
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	7861337537	32.872	10	6.60076e-11	5.682	1.43627e-10
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	3118078591 4686566609	63.664	20	0.366	5.306	0.743
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	226769353 7861337537	60.629	19	0.026	5.650	0.057
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	2319340239919	41.077	13	4.85397e-8	5.682	1.05618e-7
2022-04-09	LordJulius	Manual testing	2¹	2⁶⁴	94226263092718007	56.387	17	0.002	5.680	0.004
2022-04-09	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.395	-	-
2022-04-09	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.791	-	-
2019-06-18	Seth_Tr	Manual testing	2⁶⁶	2⁶⁷		-	-	1.582	-	-
2019-06-20	Seth_Tr	Manual testing	2⁶⁷	2⁶⁸		-	-	3.163	-	-
2022-12-31	LordJulius	Manual testing	2⁶⁸	2⁶⁹	307012450343407460441	68.057	21	2.739	5.306	5.565
2022-12-31	LordJulius	Manual testing	2⁶⁸	2⁶⁹	skipped known factors(?)	-	-	6.327	-	-

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 2000000, B2 = 532106190 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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10⁸

10⁹

10¹⁰

10¹¹

10¹²

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