M1341071 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	22.1569	68.6567%	1000000000	25012089312210	75,495.4073	30.6830%	75,517.5642	78.2738%	9.6171%
PrimeNet	2⁵⁶	0.0072	62.5000%	6000	100000	0.0006	2.6096%	0.0078	63.4786%	0.9786%
GPU72	2⁶⁰	0.1145	65.0000%	5500	40000	0.0004	0.9801%	0.1149	65.3431%	0.3431%
Difference	+7	+22.0423	+3.6567%	+999994500	+25012089272210	+75,495.4069	+29.7028%	+75,517.4492	+12.9307%	+12.9307%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1341071	2682143	7	21.355	1 1	-	1	1	2.084e-13	5.536e-8	1.127e-7
1341071	24139279	8	24.525	9 3²	2008-07-15	9	9	1.670e-12	4.983e-7	1.014e-6
1341071	2159124311	10	31.008	805 5 × 7 × 23	2008-07-15	7	23	2.505e-10	4.358e-7	7.887e-7
1341071	4355798609	10	32.020	1624 2³ × 7 × 29	2008-07-15	8	29	5.766e-10	5.062e-7	9.014e-7
1341071	95819522951	11	36.480	35725 5² × 1429	2008-07-15	25	1429	1.183e-8	5.619e-6	8.027e-6
1341071	38396215490928822231217	23	75.023	14315504358430248 2³ × 3 × 439 × 1301 × 1044368093	2018-06-09	1301	1044368093	7,099.0	3.1502	5.8835
1341071	8955330855423295505118727	25	82.889	3338872757454040653 3 × 7 × 11 × 14453994621013163	2021-08-20	11	14453994621013163	839,916	43,597,062	81,427,171

exponent	prime factors	composite factor	digits	bits*
1341071	2682143 24139279	64744998194897	14	45.880
1341071	2682143 2159124311	5791080156878473	16	52.363
1341071	2682143 4355798609	11682874748539087	17	53.375
1341071	24139279 2159124311	52119704138911769	17	55.533
1341071	24139279 4355798609	105145837890462911	18	56.545
1341071	2682143 95819522951	257001662746363993	18	57.835
1341071	24139279 95819522951	2313014198161092329	19	61.004
1341071	2159124311 4355798609	9404710670511883399	19	63.028
1341071	2159124311 95819522951	206886261471926561761	21	67.487
1341071	4355798609 95819522951	417370544785009375159	21	68.500
1341071	2682143 24139279 2159124311	139792499618253228840967	24	76.888
1341071	2682143 24139279 4355798609	282016173077039863498273	24	77.900
1341071	2682143 24139279 95819522951	6203834840498386662581047	25	82.359
1341071	2682143 2159124311 4355798609	25224778891938754475444057	26	84.383
1341071	24139279 2159124311 4355798609	227022934789763426183929321	27	87.553
1341071	2682143 2159124311 95819522951	554898538003097524141333823	27	88.842
1341071	2682143 4355798609 95819522951	1119447485101299400517085737	28	89.855
1341071	24139279 2159124311 95819522951	4994085186937785941859510319	28	92.012
1341071	24139279 4355798609 95819522951	10075024026947336324578770361	29	93.025
1341071	2682143 38396215490928822231217	102984140605486304045703058031	30	96.378
1341071	2159124311 4355798609 95819522951	901154889940628010268716390449	30	99.508
1341071	24139279 38396215490928822231217	926856958279652808980749672543	30	99.548
1341071	2682143 8955330855423295505118727	24019477966557604075985657791961	32	104.244
1341071	2159124311 38396215490928822231217	82902202316859220050017887816487	32	106.031
1341071	4355798609 38396215490928822231217	167246182026252015992743284977153	33	107.044
1341071	24139279 8955330855423295505118727	216175230056371593297506879177833	33	107.414
1341071	2682143 24139279 2159124311 4355798609	608907975385820445195242740814903	33	108.908
1341071	95819522951 38396215490928822231217	3679107051464596014091496360161367	34	111.503
1341071	2682143 24139279 2159124311 95819522951	13394850625548873999456892585533617	35	113.367
1341071	2159124311 8955330855423295505118727	19335672562992863520838868407072097	35	113.897
1341071	2682143 24139279 4355798609 95819522951	27022655168708609491614676872363623	35	114.380
1341071	4355798609 8955330855423295505118727	39007617683187570667392103446450743	35	114.909
1341071	95819522951 8955330855423295505118727	858095530435030926472778999756403377	36	119.369
1341071	2682143 2159124311 4355798609 95819522951	2417026279970025833346165785628052207	37	120.863
1341071	2682143 24139279 38396215490928822231217	2485962902651062824038054868963499649	37	120.903
1341071	24139279 2159124311 4355798609 95819522951	21753229310491112975091409920921346271	38	124.033
1341071	2682143 2159124311 38396215490928822231217	222355561628747739042615127681775891641	39	127.386
1341071	2682143 4355798609 38396215490928822231217	448578176398437660930824452598476078879	39	128.399
1341071	2682143 24139279 8955330855423295505118727	579812880069086674361754993438670536119	39	128.769
1341071	24139279 2159124311 38396215490928822231217	2001199391441111116509775748992880492873	40	130.556
1341071	24139279 4355798609 38396215490928822231217	4037202249616482738361292131440004892687	40	131.569
1341071	2682143 95819522951 38396215490928822231217	9867891224336405947023408321932289369481	40	132.858
1341071	2682143 2159124311 8955330855423295505118727	51861038815123367942373325025949575463871	41	135.252
1341071	24139279 95819522951 38396215490928822231217	88810991586171241806442562165419723034393	41	136.028
1341071	2682143 4355798609 8955330855423295505118727	104624008715637760352551058514173735182249	42	136.264
1341071	2159124311 4355798609 38396215490928822231217	361105297534811967942692826176172121866583	42	138.051
1341071	24139279 2159124311 8955330855423295505118727	466749194650729807538451758522598922598063	42	138.422
1341071	24139279 4355798609 8955330855423295505118727	941615766379798377672394187490736045034297	42	139.434
1341071	2682143 95819522951 8955330855423295505118727	2301534920287605154222478884743639022796911	43	140.724
1341071	2159124311 95819522951 38396215490928822231217	7943649477588737409818648369592419372693137	43	142.511
1341071	4355798609 95819522951 38396215490928822231217	16025449377131578730926684244319445394138503	44	143.523
1341071	24139279 95819522951 8955330855423295505118727	20713807417824202907754898180460753153945183	44	143.894
1341071	2682143 24139279 2159124311 4355798609 95819522951	58345271722528565228350599479529742451338753	44	145.388
1341071	2159124311 4355798609 8955330855423295505118727	84222295653963779800996785520658685875313073	44	145.917
1341071	2159124311 95819522951 8955330855423295505118727	1852734920922715679384230618104313609203198247	46	150.376
1341071	4355798609 95819522951 8955330855423295505118727	3737691317858024874402112043503353168379502593	46	151.389
1341071	2682143 24139279 2159124311 38396215490928822231217	5367502939358036093368879456731011463795866839	46	151.911
1341071	2682143 24139279 4355798609 38396215490928822231217	10828353753393101861316571161296889042886188241	47	152.924
1341071	2682143 24139279 95819522951 38396215490928822231217	238203779405908093012457273014045352198635944199	48	157.383
1341071	38396215490928822231217 8955330855423295505118727	343850813317396799766907750502544733056630700759	48	157.912
1341071	2682143 2159124311 4355798609 38396215490928822231217	968536046045913176133717964878636823459602527369	48	159.406
1341071	2682143 24139279 2159124311 8955330855423295505118727	1251888085188092398180605614959079042053936489009	49	159.777
1341071	2682143 24139279 4355798609 8955330855423295505118727	2525548136485211560085368363218965248036424458471	49	160.789
1341071	24139279 2159124311 4355798609 38396215490928822231217	8716821525570838306707718142365122001759447813657	49	162.576
1341071	2682143 2159124311 95819522951 38396215490928822231217	21306003840768288922583218993963720473533288552591	50	163.866
1341071	2682143 4355798609 95819522951 38396215490928822231217	42982546868727823972103889659111690227770826851929	50	164.878
1341071	2682143 24139279 95819522951 8955330855423295505118727	55557393569065261059614445870435545846581994967169	50	165.248
1341071	24139279 2159124311 95819522951 38396215490928822231217	19175397101771877959334969239648652752244461542822 3	51	167.036
1341071	2682143 2159124311 4355798609 8955330855423295505118727	22589624073220937424678492130673604970966983155543 9	51	167.272
1341071	24139279 4355798609 95819522951 38396215490928822231217	38684279361495539869630515951853125749437428855933 7	51	168.048
1341071	24139279 2159124311 4355798609 8955330855423295505118727	20330654928115191365108258837863402821175414814943 67	52	170.442
1341071	2682143 2159124311 95819522951 8955330855423295505118727	49692999990084154004506584627341580167290937558033 21	52	171.731
1341071	2682143 4355798609 95819522951 8955330855423295505118727	10025022604353676410703504002698214177096904223296 799	53	172.744
1341071	2159124311 4355798609 95819522951 38396215490928822231217	34600937344864599083754331510530778200521418728446 433	53	174.531
1341071	24139279 2159124311 95819522951 8955330855423295505118727	44723685169196371222330491090762477316052970176643 913	53	174.901
1341071	24139279 4355798609 95819522951 8955330855423295505118727	90225173537652544832132540807387579567046790973650 447	53	175.914
1341071	2682143 38396215490928822231217 8955330855423295505118727	92225705198356260471721325465614683795471063762584 6537	54	179.267
1341071	2159124311 4355798609 95819522951 8955330855423295505118727	80701401914008899527643217028739794358670605226338 38423	55	182.397
1341071	24139279 38396215490928822231217 8955330855423295505118727	83003107170455569032805211566433175212345312855870 12761	55	182.437
1341071	2682143 24139279 2159124311 4355798609 38396215490928822231217	23379761837059144968467959261517615421165090637265 426951	56	183.931
1341071	2682143 24139279 2159124311 95819522951 38396215490928822231217	51431157108737730065484572401338956438863216815850 0321889	57	188.391
1341071	2159124311 38396215490928822231217 8955330855423295505118727	74241665039071398961032965740436680050757668575772 3052049	57	188.920
1341071	2682143 24139279 4355798609 95819522951 38396215490928822231217	10375676909947973179255040094665119825697335374394 05819191	58	189.403
1341071	4355798609 38396215490928822231217 8955330855423295505118727	14977448943514356559257483038703033992083483245927 47444231	58	189.933
1341071	2682143 24139279 2159124311 4355798609 8955330855423295505118727	54529723800859663713585560684163460832995890617997 45988481	58	191.797
1341071	95819522951 38396215490928822231217 8955330855423295505118727	32947620898386319102839168649578366833023993814108 213619809	59	194.392
1341071	2682143 2159124311 4355798609 95819522951 38396215490928822231217	92804661892967170380298093980649553035081119592571 501145919	59	195.886
1341071	2682143 24139279 2159124311 95819522951 8955330855423295505118727	11995531911076386269937517036565094319591026158849 4234745559	60	196.256
1341071	2682143 24139279 4355798609 95819522951 8955330855423295505118727	24199681762780000955369046939874894482269758108243 9730867921	60	197.269
1341071	24139279 2159124311 4355798609 95819522951 38396215490928822231217	83524168022920577450589017579119389306950447216179 3682741807	60	199.056
1341071	2682143 2159124311 4355798609 95819522951 8955330855423295505118727	21645270023384557180577156105111523826054785311358 691289380489	62	203.752
1341071	2682143 24139279 38396215490928822231217 8955330855423295505118727	22262620287548721129235526856642777586356549445918 207167826823	62	203.792
1341071	24139279 2159124311 4355798609 95819522951 8955330855423295505118727	19480736564933948341807478283143009144265758086574 4040533717017	63	206.922
1341071	2682143 2159124311 38396215490928822231217 8955330855423295505118727	19912676219289007922354184182995205834137932546682 76579991861007	64	210.275
1341071	2682143 4355798609 38396215490928822231217 8955330855423295505118727	40171659841704426844916543329876071700628770003681 65408312067033	64	211.288
1341071	24139279 2159124311 38396215490928822231217 8955330855423295505118727	17921402658026904004406848882058426015789735231401 003158142332671	65	213.445
1341071	24139279 4355798609 38396215490928822231217 8955330855423295505118727	36154481875574829348939641590902033568138699336526 891932829049449	65	214.458
1341071	2682143 95819522951 38396215490928822231217 8955330855423295505118727	88370230759260577077446356319286069552627473840553 646402875370687	65	215.747
1341071	24139279 95819522951 38396215490928822231217 8955330855423295505118727	79533181325237800660646438416022542934671260037303 2304760169377711	66	218.917
1341071	2682143 24139279 2159124311 4355798609 95819522951 38396215490928822231217	22402376259350026636505517937671201619391199334774 49793610158452401	67	220.411
1341071	2159124311 4355798609 38396215490928822231217 8955330855423295505118727	32338174130703113024615143737533874601766830217843 20181122268799841	67	220.940
1341071	2159124311 95819522951 38396215490928822231217 8955330855423295505118727	71138009271317562244743758154333691728858182690354 658811310923076599	68	225.400
1341071	4355798609 95819522951 38396215490928822231217 8955330855423295505118727	14351320127905045909277697875454985868777764751911 7161460638897045681	69	226.412
1341071	2682143 24139279 2159124311 4355798609 95819522951 8955330855423295505118727	52250121212481635007340535224784039975228393191598 9318109225361127431	69	228.277
1341071	2682143 24139279 2159124311 38396215490928822231217 8955330855423295505118727	48067764689408254387091798881070832929268327822755 580813589350577193953	71	234.800
1341071	2682143 24139279 4355798609 38396215490928822231217 8955330855423295505118727	96971490481199899514453017115546753020548235454570 247509393905176289207	71	235.813
1341071	2682143 24139279 95819522951 38396215490928822231217 8955330855423295505118727	21331936555921729037734822027246595137442797741023 25984986354975241914673	73	240.272
1341071	2682143 2159124311 4355798609 38396215490928822231217 8955330855423295505118727	86735607377446439677180335469620319026006691300976 61883555825405611939263	73	242.295
1341071	24139279 2159124311 4355798609 38396215490928822231217 8955330855423295505118727	78062020769162491146971882230543297096306340757414 782677440979672357054639	74	245.465
1341071	2682143 2159124311 95819522951 38396215490928822231217 8955330855423295505118727	19080231360099950035180375772733903093471487269565 5915648145913153438471657	75	246.755
1341071	2682143 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	38492292821819623550247812412766462163041200284986 7460791522393238793974383	75	247.767
1341071	24139279 2159124311 95819522951 38396215490928822231217 8955330855423295505118727	17172202533049213326257358615959860437429000233954 41717996042727893561632121	76	249.925
1341071	24139279 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	34643052058581558871186303749331515582748385234276 26994186409854037969403999	76	250.937
1341071	2159124311 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	30986284183103414122292577933007910175439527732091 4700566977712203555924650791	78	257.420
1341071	2682143 24139279 2159124311 4355798609 38396215490928822231217 8955330855423295505118727	20937350257186379149241260512147609050377837771811 4757454819581541354767600611377	81	266.820
1341071	2682143 24139279 2159124311 95819522951 38396215490928822231217 8955330855423295505118727	46058302818600216178527890610286427953227130974499 20235831060030320621076661915303	82	271.280
1341071	2682143 24139279 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	92917619577560118055440246297143279199659502217417 45749068119885138961371150089857	82	272.292
1341071	2682143 2159124311 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	83109645217721540464208181854971635221683901229935 0117722815301942782098410646525113	84	278.775
1341071	24139279 2159124311 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	74798655906922039935056065835412125293187370755319 32492187733181663341257248421519689	85	281.945
1341071	2682143 24139279 2159124311 4355798609 95819522951 38396215490928822231217 8955330855423295505118727	20062069135015960095753108158798978397024545415978 444010393883239066059109740053040083213527	92	303.300

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

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T19:05:14	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 2682143 skipped known factor: 24139279 skipped known factor: 2159124311 skipped known factor: 4355798609 skipped known factor: 95819522951	-	-	0.071	-	-	4.882%
2022-02-15T23:26:22	nordi	sweet16_ccx3	1000000000	1000000000		-	skipped known factor: 2682143 skipped known factor: 24139279 skipped known factor: 2159124311 skipped known factor: 4355798609 skipped known factor: 95819522951	-	-	55.36	-	-	12.837%
2022-03-30T07:02:01	nordi	sweet16_30.8b11	1000000000	25012089312210		-	skipped known factor: 2682143 skipped known factor: 24139279 skipped known factor: 2159124311 skipped known factor: 4355798609 skipped known factor: 95819522951 skipped known factor: 38396215490928822231217	-	-	75,495	-	-	30.683%

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-07-15T09:58:00	J Feitsma	Manual testing	?	?	2159124311	31.008	10	3.71703e-11	0.111	8.07257e-11
2008-07-15T09:58:00	J Feitsma	Manual testing	?	?	24139279	24.525	8	3.24663e-15	0.111	7.05096e-15
2008-07-15T09:58:00	J Feitsma	Manual testing	?	?	4355798609	32.020	10	1.49974e-10	0.111	3.25711e-10
2008-07-15T09:58:00	J Feitsma	Manual testing	?	?	95819522951	36.480	11	5.00159e-9	0.111	1.08624e-8

Total ECM effort:	25.267 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	303 / 100	3.030	4.758%
25	50000	303 / 280	1.082	33.821%
30	250000	50 / 640	0.078	92.479%

Old Calculation Method

New Calculation Method

Digits	B1	Complete	FacMiss
20	11000	12.328	0.000%
25	50000	1.363	25.599%
30	250000	0.113	89.283%
35	1000000	0.008	99.235%

B1	B2	factor	curves	GHz-days
50000	5000000		251	11.72
50000	5000000	38396215490928822231217	2	0.093
250000	35000000		25	6.724
250000	35000000	8955330855423295505118727	25	6.724