M4 769 291 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	12.4976	66.1765%	1000000000	2510359125120	26,292.4338	27.5206%	26,304.9315	75.4849%
Target	2⁶⁵	1.5297	64.6154%	30000	650000	0.0122	2.2842%	1.5419	65.4236%
Difference	+3	+10.9679	+1.5611%	+999970000	+2510358475120	+26,292.4217	+25.2365%	+26,303.3896	+10.0613%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4769291	200310223	9	27.578	21 3 × 7	-	3	7	3.766e-12	6.144e-7	1.166e-6
4769291	3243117881	10	31.595	340 2² × 5 × 17	2008-09-08	5	17	6.440e-11	1.079e-6	1.943e-6
4769291	40405433353	11	35.234	4236 2² × 3 × 353	2008-09-08	4	353	1.840e-9	4.394e-6	6.921e-6
4769291	358994072153	12	38.385	37636 2² × 97²	2008-09-08	9409	9409	8.801e-9	0.0018	0.0037
4769291	23403902949529	14	44.412	2453604 2² × 3 × 41 × 4987	2008-09-30	41	4987	5.322e-7	5.927e-5	9.682e-5
4769291	188472546041959	15	47.421	19758969 3² × 2195441	2014-03-05	9	2195441	7.206e-6	0.0228	0.0427
4769291	41609122696008809	17	55.208	4362191644 2² × 1090547911	2014-08-17	4	1090547911	0.0013	11.344	21.187

exponent	prime factors	composite factor	digits	bits*
4769291	200310223 3243117881	649629665958397463	18	59.172
4769291	200310223 40405433353	8093621365351067719	19	62.811
4769291	200310223 358994072153	71910182648645520119	20	65.963
4769291	3243117881 40405433353	131039583396668084993	21	66.829
4769291	3243117881 358994072153	1164260094572398467793	22	69.980
4769291	200310223 23403902949529	4688041018890511734967	22	71.989
4769291	40405433353 358994072153	14505311056500114719009	23	73.619
4769291	200310223 188472546041959	37752977727042574646857	23	74.999
4769291	3243117881 23403902949529	75901616140806140428049	23	76.007
4769291	3243117881 188472546041959	611238684146273009168879	24	79.016
4769291	40405433353 23403902949529	945644840827274132240737	24	79.646
4769291	40405433353 188472546041959	7615314897968598316058527	25	82.655
4769291	200310223 41609122696008809	8334732646071885740754407	25	82.785
4769291	358994072153 23403902949529	8401862424125023343365937	25	82.797
4769291	358994072153 188472546041959	67660526792646643811467727	26	85.807
4769291	3243117881 41609122696008809	134943289828149095801413729	27	86.802
4769291	40405433353 41609122696008809	1681234633970383611150406577	28	90.442
4769291	23403902949529 188472546041959	4410993176216644494693287311	28	91.833
4769291	358994072153 41609122696008809	14937428395354016263269595777	29	93.593
4769291	200310223 3243117881 40405433353	26248568172013681561930783439	29	94.406
4769291	200310223 3243117881 358994072153	233213199173798226728474147839	30	97.558
4769291	23403902949529 41609122696008809	973815869392434621391266400961	30	99.620
4769291	200310223 40405433353 358994072153	2905562092411903578890275129007	31	101.197
4769291	188472546041959 41609122696008809	7842177293089041449859547616831	31	102.629
4769291	200310223 3243117881 23403902949529	15203869655225277388911810644927	32	103.584
4769291	3243117881 40405433353 358994072153	47042433656802523323769378499929	32	105.214
4769291	200310223 3243117881 188472546041959	122437357127566511085499197150017	33	106.594
4769291	200310223 40405433353 23403902949529	189422328944910785911273518154351	33	107.223
4769291	200310223 40405433353 188472546041959	1525425425427312175687108024421521	34	110.233
4769291	200310223 358994072153 23403902949529	1682978935791804005789836411073951	34	110.375
4769291	3243117881 40405433353 23403902949529	3066837692362331570758692761318297	34	111.240
4769291	200310223 358994072153 188472546041959	13553095210132523982076670352673121	35	113.384
4769291	3243117881 40405433353 188472546041959	24697363915047651775315898356221287	35	114.250
4769291	200310223 3243117881 41609122696008809	27030520477830177057229547771251567	35	114.380
4769291	3243117881 358994072153 23403902949529	27248230261381868984412473011019497	35	114.392
4769291	3243117881 358994072153 188472546041959	219431064279111909859608978288126487	36	117.401
4769291	200310223 40405433353 41609122696008809	336768484445930916545083227979536671	36	118.019
4769291	40405433353 358994072153 23403902949529	339480892219058650039941602143896761	36	118.031
4769291	200310223 23403902949529 188472546041959	883567026779434355043734697869480353	36	119.411
4769291	40405433353 358994072153 188472546041959	2733852905949154817003389140408898631	37	121.040
4769291	200310223 358994072153 41609122696008809	2992119612919895161641159439210728271	37	121.171
4769291	3243117881 40405433353 41609122696008809	5452442103585841113751234550288703337	37	122.036
4769291	3243117881 23403902949529 188472546041959	14305370842757183690560009688974507991	38	123.428
4769291	3243117881 358994072153 41609122696008809	48443841125129747468574429588030788537	38	125.188
4769291	40405433353 23403902949529 188472546041959	178228090802159413819623982621091083783	39	127.067
4769291	200310223 23403902949529 41609122696008809	195065273958937453523805143028905324303	39	127.197
4769291	40405433353 358994072153 41609122696008809	603553267493686438966417754038823750281	39	128.827
4769291	200310223 188472546041959 41609122696008809	1570868282384202251677609301806536163313	40	130.207
4769291	358994072153 23403902949529 188472546041959	1583520402569108717287472210529893350583	40	130.218
4769291	3243117881 23403902949529 41609122696008809	3158199658828165326757481162191134683641	40	131.214
4769291	200310223 3243117881 40405433353 358994072153	9423080376256818913946945407892183474167	40	132.791
4769291	3243117881 188472546041959 41609122696008809	25433105405189248051189663814715552655111	41	134.224
4769291	40405433353 23403902949529 41609122696008809	39347452208829769697034602700297860652233	41	134.853
4769291	40405433353 188472546041959 41609122696008809	316866571958319211796954442442594951564343	42	137.863
4769291	358994072153 23403902949529 41609122696008809	349594124480404098744071527590637862539033	42	138.005
4769291	200310223 3243117881 40405433353 23403902949529	614318942061904033738614026208153846050231	42	138.818
4769291	358994072153 188472546041959 41609122696008809	2815295160991825574504486168872567211207143	43	141.014
4769291	200310223 3243117881 40405433353 188472546041959	4947134473335348182739873495180019436317001	43	141.828
4769291	200310223 3243117881 358994072153 23403902949529	5458099080012750464424445992818796901417831	43	141.969
4769291	200310223 3243117881 358994072153 188472546041959	43954285418876240905934173133696774863176601	44	144.979
4769291	200310223 40405433353 358994072153 23403902949529	68001493224638603039579661232421238284887703	44	145.608
4769291	23403902949529 188472546041959 41609122696008809	183537556280455966295995205032332663623922599	45	147.041
4769291	200310223 40405433353 358994072153 188472546041959	547618685239873228055473070471084795960004713	45	148.618
4769291	200310223 3243117881 40405433353 41609122696008809	1092179893663868933138078159293634879815314151	46	149.614
4769291	3243117881 40405433353 358994072153 23403902949529	1100976551813462876932255974108659520617083441	46	149.626
4769291	200310223 3243117881 23403902949529 188472546041959	2865512023610389399908038535680644336992491993	46	151.006
4769291	3243117881 40405433353 358994072153 188472546041959	8866207243307515263860974158861318801712520911	46	152.635
4769291	200310223 3243117881 358994072153 41609122696008809	9703796618751310619363829482876245382712313751	46	152.765
4769291	200310223 40405433353 23403902949529 188472546041959	35700908613444801063758161734978879495884413609	47	154.645
4769291	200310223 40405433353 358994072153 41609122696008809	120897889604038981681439029822675936076483422663	48	156.404
4769291	200310223 358994072153 23403902949529 188472546041959	317195324963667940071097513597545885221497910009	48	157.796
4769291	3243117881 40405433353 23403902949529 188472546041959	578014708176974828370901046734893741546316423823	48	158.662
4769291	200310223 3243117881 23403902949529 41609122696008809	632619677938393715283658918516805357103163161943	48	158.792
4769291	3243117881 40405433353 358994072153 41609122696008809	1957394393944750544819204576639169272743789874561	49	160.421
4769291	200310223 3243117881 188472546041959 41609122696008809	5094511015295963634336116974020703033913526499753	49	161.801
4769291	3243117881 358994072153 23403902949529 188472546041959	5135543332500194819267974943260093610298729074623	49	161.813
4769291	200310223 40405433353 23403902949529 41609122696008809	7881696926432533737051643705613066633671717677959	49	162.431
4769291	200310223 40405433353 188472546041959 41609122696008809	63471613690216468020232175086516859446527745178489	50	165.441
4769291	40405433353 358994072153 23403902949529 188472546041959	63982828089121852252970277344405190591179270194799	50	165.452
4769291	200310223 358994072153 23403902949529 41609122696008809	70027277034159504149538987619631322957437046434359	50	165.582
4769291	3243117881 40405433353 23403902949529 41609122696008809	12760842583024877218956487269306687590730316487827 3	51	166.448
4769291	200310223 358994072153 188472546041959 41609122696008809	56393240150909348200609673898727959665939091352288 9	51	168.592
4769291	3243117881 40405433353 188472546041959 41609122696008809	10276356454091982224845290936279650034586497053171 83	52	169.458
4769291	3243117881 358994072153 23403902949529 41609122696008809	11337749561949383667425880138721825001959579827490 73	52	169.599
4769291	3243117881 358994072153 188472546041959 41609122696008809	91303340769053632155085968089878083330401890582239 83	52	172.609
4769291	40405433353 358994072153 23403902949529 41609122696008809	14125502097293353566311613111928418821579273242567 649	53	173.239
4769291	200310223 23403902949529 188472546041959 41609122696008809	36764448827413185150431283526957278060691923940429 577	53	174.619
4769291	40405433353 358994072153 188472546041959 41609122696008809	11375322099647861362844195189589081760244329116404 0479	54	176.248
4769291	200310223 3243117881 40405433353 358994072153 23403902949529	22053685861152580328052175006678781480588108167631 7343	54	177.203
4769291	3243117881 23403902949529 188472546041959 41609122696008809	59523393060819059512767538813061924453910164017689 2719	54	178.636
4769291	200310223 3243117881 40405433353 358994072153 188472546041959	17759919500711436400798955747587481952451278455745 73153	55	180.213
4769291	40405433353 23403902949529 188472546041959 41609122696008809	74159144980624501226240485277414876501813720303250 44447	55	182.275
4769291	358994072153 23403902949529 188472546041959 41609122696008809	65888894722131307468203838790319260942905147962293 285647	56	185.426
4769291	200310223 3243117881 40405433353 23403902949529 188472546041959	11578225509220975133636191538239998725044700768454 7642529	57	186.239
4769291	200310223 3243117881 40405433353 358994072153 41609122696008809	39208610755002283131210636342921258755805637163845 5937103	57	187.999
4769291	200310223 3243117881 358994072153 23403902949529 188472546041959	10287018301592771717910127576428416980798135175543 16770929	58	189.391
4769291	200310223 40405433353 358994072153 23403902949529 188472546041959	12816414562702662098965528667229651529676621445697 441130177	59	193.030
4769291	200310223 3243117881 40405433353 23403902949529 41609122696008809	25561272234736091702767937922114836466905224285372 632484879	59	194.026
4769291	200310223 3243117881 40405433353 188472546041959 41609122696008809	20584592529466542219707963679460554887899789375096 9212461809	60	197.035
4769291	3243117881 40405433353 358994072153 23403902949529 188472546041959	20750385385278014062944804181716966891546645204528 2990100919	60	197.047
4769291	200310223 3243117881 358994072153 23403902949529 41609122696008809	22710671430722333571346358865586397011094988722309 6965673279	60	197.177
4769291	200310223 3243117881 358994072153 188472546041959 41609122696008809	18288992550094124555945240852254362914725385382150 06018678209	61	200.187
4769291	200310223 40405433353 358994072153 23403902949529 41609122696008809	28294824750957993492857245099401055341879414353966 58863775727	61	200.816
4769291	200310223 40405433353 358994072153 188472546041959 41609122696008809	22785933064772913310644046526821162457597740997922 877929516817	62	203.826
4769291	3243117881 40405433353 358994072153 23403902949529 41609122696008809	45810668429835076653360311701249109472320689711955 992824031769	62	204.833
4769291	200310223 3243117881 23403902949529 188472546041959 41609122696008809	11923144137729318373652737046805589400171898176349 9139989966337	63	206.213
4769291	3243117881 40405433353 358994072153 188472546041959 41609122696008809	36891510503502442989249038436410536099019338686258 8981652704999	63	207.843
4769291	200310223 40405433353 23403902949529 188472546041959 41609122696008809	14854834868558224519892005057547190775595766218403 72415663481681	64	209.852
4769291	200310223 358994072153 23403902949529 188472546041959 41609122696008809	13198219195013645234237476357544901400668520456174 963639353269281	65	213.004
4769291	3243117881 40405433353 23403902949529 188472546041959 41609122696008809	24050684912633471847352694420930143143843880524660 425888185456807	65	213.869
4769291	3243117881 358994072153 23403902949529 188472546041959 41609122696008809	21368545263267056968004070853372580486264060544346 4068448026354007	66	217.021
4769291	40405433353 358994072153 23403902949529 188472546041959 41609122696008809	26622693443979099980212613748610010396207698941910 45110249249984391	67	220.660
4769291	200310223 3243117881 40405433353 358994072153 23403902949529 188472546041959	41565143238609799139456097623310581609293253158209 441845221877394937	68	224.625
4769291	200310223 3243117881 40405433353 358994072153 23403902949529 41609122696008809	91763452089593240576566977362267184969519696837157 10688768203407474487	70	232.411
4769291	200310223 3243117881 40405433353 358994072153 188472546041959 41609122696008809	73897466957634166362212614917329658055441138135570 469272196246902904777	71	235.420
4769291	200310223 3243117881 40405433353 23403902949529 188472546041959 41609122696008809	48175980581523462630074401791073728405652887850800 86908937401918367037961	73	241.447
4769291	200310223 3243117881 358994072153 23403902949529 188472546041959 41609122696008809	42803380668706178898145992975468618992890024045235 301443311422881019113561	74	244.598
4769291	200310223 40405433353 358994072153 23403902949529 188472546041959 41609122696008809	53327976606240915243756842473969371224966825293709 4650637086849956107729193	75	248.238
4769291	3243117881 40405433353 358994072153 23403902949529 188472546041959 41609122696008809	86340533148550090936114273829863563611537083028374 56427126958991217422995471	76	252.255
4769291	200310223 3243117881 40405433353 358994072153 23403902949529 188472546041959 41609122696008809	17294891448924960842083328944343034486601678474183 22429670584404842617041708124000033	85	279.832

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-08-27	alpertron	Manual testing	30000000	1000000000	12	-	skipped known factor: 200310223 skipped known factor: 3243117881 skipped known factor: 40405433353 skipped known factor: 358994072153 skipped known factor: 23403902949529 skipped known factor: 188472546041959	-	-	15.82	-	-	12.901%
2021-09-28	Seth_Tr	Manual testing	1000000000	241000000000		-	skipped known factor: 200310223 skipped known factor: 3243117881 skipped known factor: 40405433353 skipped known factor: 358994072153 skipped known factor: 23403902949529 skipped known factor: 188472546041959 skipped known factor: 41609122696008809	-	-	2,687	-	-	23.609%
2021-12-27	Seth_Tr	Manual testing	1000000000	2510359125120		-	skipped known factor: 200310223 skipped known factor: 3243117881 skipped known factor: 40405433353 skipped known factor: 358994072153 skipped known factor: 23403902949529 skipped known factor: 188472546041959 skipped known factor: 41609122696008809	-	-	26,292	-	-	27.521%

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	?	?	3243117881	31.595	10	4.41445e-12	2.798	1.96683e-11
2008-09-08	Will Edgington	Manual testing	?	?	358994072153	38.385	12	1.12345e-9	2.798	5.00545e-9
2008-09-08	Will Edgington	Manual testing	?	?	40405433353	35.234	11	8.79982e-10	2.798	3.92069e-9
2008-09-30	markr	Manual testing	?	?	23403902949529	44.412	14	4.08431e-8	2.798	1.81973e-7
2014-03-05	TJAOI	Manual testing	?	?	188472546041959	47.421	15	3.27511e-6	2.798	1.45920e-5
2014-08-17	pdazzl	Manual testing	2¹	2⁵⁶	41609122696008809	55.208	17	0.001	2.796	0.006
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	200310223	27.578	9	3.76608e-12	2.798	1.67795e-11
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	23403902949529	44.412	14	5.32237e-7	2.798	2.37134e-6
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	3243117881	31.595	10	6.43990e-11	2.798	2.86925e-10
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	358994072153	38.385	12	8.80148e-9	2.798	3.92143e-8
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	41609122696008809	55.208	17	0.001	2.796	0.006
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	188472546041959	47.421	15	7.20626e-6	2.798	3.21069e-5
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	40405433353	35.234	11	1.83974e-9	2.798	8.19680e-9
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	200310223 3243117881	59.172	18	0.032	2.766	0.141
2022-06-21	LordJulius	Manual testing	2¹	2⁶³	200310223 40405433353	62.811	19	0.255	2.463	1.000
2022-06-21	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.412	-	-
2022-06-21	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.783	-	-
2022-06-21	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	1.567	-	-
2021-08-06	Seth_Tr	Manual testing	2⁶⁶	2⁶⁷		-	-	3.134	-	-
2019-12-28	Seth_Tr	Manual testing	2⁶⁷	2⁶⁸		-	-	6.267	-	-

Digits	B1	Complete	FacMiss
20	11000	0.045	95.595%
25	50000	0.002	99.807%

B1	B2	factor	curves	GHz-days
20000	3000000		5	0.493

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-30	pdazzl	PrimeCrunch_	20000	3000000						5	0.493

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 = 1000000000, B2 = 2510359125120 (P-1 stage 2)

B1 = 1000000000, B2 = 241000000000 (P-1 stage 2)

B1 = 1000000000 (P-1 stage 1)

B1 = 30000000, B2 = 1000000000 (P-1 stage 2)

B1 = 30000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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

Total ECM effort:	0.493 GHz-days
Estimated T-Level:	0.225