M8 783 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	400000000	400000000	0.0707	30.0118%	0.0707	30.0118%
Target	2⁴⁴	0.0003	68.1818%	500	80000	0.0000	1.2143%	0.0003	68.5682%
Difference	-44	-0.0003	-68.1818%	+399999500	+399920000	+0.0707	+28.7975%	+0.0705	-38.5563%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
8783	228359	6	17.801	13 13	-	1	13	1.994e-12	2.924e-10	3.599e-10
8783	46912673033	11	35.449	2670652 2² × 449 × 1487	-	449	1487	5.541e-7	8.939e-8	1.616e-7
8783	178874244247	12	37.380	10182981 3 × 563 × 6029	-	563	6029	2.311e-6	1.522e-7	2.026e-7
8783	34938786884895059426078183	26	84.853	1989000733513324571677 7 × 13 × 1997 × 4567 × 2396538854453	-	4567	2396538854453	507,578,103	23.087	43.121
8783	2427225872126925200442364062463	31	100.937	138177494712907047730978257 3 × 19 × 37 × 61 × 1074065828050797501193	-	61	1074065828050797501193	2.107e+13	1.035e+10	1.933e+10
8783	93392608936292328935016901172993	32	106.203	5316669072998538593590851712 2⁷ × 31148182073 × 1333512082196473	-	31148182073	1333512082196473	1.565e+13	12,852	23,994

exponent	prime factors	composite factor	digits	bits*
8783	228359 46912673033	10712931101142847	17	53.250
8783	228359 178874244247	40847543542000673	17	55.181
8783	46912673033 178874244247	8391468934384492291151	22	72.829
8783	228359 46912673033 178874244247	1916267454387108275114951209	28	90.630
8783	228359 34938786884895059426078183	7978586434247750875479787791697	31	102.654
8783	228359 2427225872126925200442364062463	554278872933032511847817814939988217	36	118.738
8783	46912673033 34938786884895059426078183	1639071885300750529372710432573739039	37	120.302
8783	178874244247 34938786884895059426078183	6249649098942599134743888547259963201	37	122.233
8783	228359 93392608936292328935016901172993	21327042784082779943271524534963508487	38	124.004
8783	46912673033 2427225872126925200442364062463	113867653716328710204000612223876307660279	42	136.386
8783	228359 46912673033 34938786884895059426078183	374296816655394090137022781672106473207001	42	138.103
8783	178874244247 2427225872126925200442364062463	434168193493469207689026861755101826400361	42	138.317
8783	228359 178874244247 34938786884895059426078183	1427163618585432995810979644763737936617159	43	140.034
8783	46912673033 93392608936292328935016901172993	4381296926727115954634532989057494778997769	43	141.652
8783	178874244247 93392608936292328935016901172993	16705532341734908908514678571491010682021271	44	143.583
8783	228359 46912673033 2427225872126925200442364062463	26002703535007107933475375806832169740993652161	47	154.187
8783	228359 178874244247 2427225872126925200442364062463	99146214497975134798658485123533297974960037599	47	156.118
8783	46912673033 178874244247 34938786884895059426078183	293187744749677219243428753612600021700125058633	48	157.682
8783	228359 46912673033 93392608936292328935016901172993	1000508584890477472284387318848180450237151531071	49	159.453
8783	228359 178874244247 93392608936292328935016901172993	3814858660026242063439503483907115708335695424289	49	161.384
8783	46912673033 178874244247 2427225872126925200442364062463	20367990502687398961168886707471184501541262946164 913	53	173.767
8783	228359 46912673033 178874244247 34938786884895059426078183	66952060203291540109210146746219728355418858264373 247	53	175.483
8783	46912673033 178874244247 93392608936292328935016901172993	78370117659001660158718802550544929942437421797408 4943	54	179.032
8783	34938786884895059426078183 2427225872126925200442364062463	84804327467746186772532783372948597852069346275733 544729	56	185.790
8783	34938786884895059426078183 93392608936292328935016901172993	32630244602494635487390441918705376054411362676664 26111719	58	191.056
8783	228359 46912673033 178874244247 2427225872126925200442364062463	46512139432031917393735657996314122215874612651232 73367767	58	191.568
8783	228359 46912673033 178874244247 93392608936292328935016901172993	17896521698491960112184867031639889656725067204234 4063498537	60	196.833
8783	228359 34938786884895059426078183 2427225872126925200442364062463	19365831416207051465188813878263168856900703846180 236540769711	62	203.591
8783	2427225872126925200442364062463 93392608936292328935016901172993	22668495667560101615528145428597511624429592986205 0573420661759	63	207.140
8783	228359 34938786884895059426078183 93392608936292328935016901172993	74514100271810724652649939261136409704093243694803 7400446039121	63	208.857
8783	46912673033 34938786884895059426078183 2427225872126925200442364062463	39783976862778377134923800116485564681499353442755 44046101657593057	67	221.239
8783	178874244247 34938786884895059426078183 2427225872126925200442364062463	15169309984668202427352909723867547984767231820107 181888946245424063	68	223.170
8783	228359 2427225872126925200442364062463 93392608936292328935016901172993	51765550021483572448203917619290991570431174247368 006895768898623481	68	224.941
8783	46912673033 34938786884895059426078183 93392608936292328935016901172993	15307719960236438907564663961416024734999078745303 3018090726976573727	69	226.505
8783	178874244247 34938786884895059426078183 93392608936292328935016901172993	58367103428659788536787117964197727543887632492377 4273029202915030593	69	228.436
8783	228359 46912673033 34938786884895059426078183 2427225872126925200442364062463	90850291724072074241540640708005270651025108528341 8962823728426292903463	72	239.040
8783	228359 178874244247 34938786884895059426078183 2427225872126925200442364062463	34640484587888460381078831116326693902534602912078 55948977875658793602617	73	240.971
8783	46912673033 2427225872126925200442364062463 93392608936292328935016901172993	10634397254022241119655269621006687105942821908911 079345793665466453645047	74	242.589
8783	228359 46912673033 34938786884895059426078183 93392608936292328935016901172993	34956556223996329524925590975650019924596546231987 166978180321643399723993	74	244.306
8783	178874244247 2427225872126925200442364062463 93392608936292328935016901172993	40548100307512069309281207732978877929646407478692 415286313857755738650473	74	244.520
8783	228359 178874244247 34938786884895059426078183 93392608936292328935016901172993	13328653371865320650472169471186228864194635868326 8169214675748473471186887	75	246.237
8783	46912673033 178874244247 34938786884895059426078183 2427225872126925200442364062463	71163287944696162346626398957696459480882321098920 1698971194528492039949393079	78	258.620
8783	228359 46912673033 2427225872126925200442364062463 93392608936292328935016901172993	24284603225312649598433577153834660608259968682970 25168326095652253887929287873	79	260.390
8783	228359 178874244247 2427225872126925200442364062463 93392608936292328935016901172993	92595236381231486353981473166953235851361239654267 21262367346243242722483363807	79	262.321
8783	46912673033 178874244247 34938786884895059426078183 93392608936292328935016901172993	27381568390320099010212155573808085924280186608073 691118916266813440690601098569	80	263.886
8783	228359 46912673033 178874244247 34938786884895059426078183 2427225872126925200442364062463	16250777271762870937313257839580605790594805963828 3110775363011331913750803454127361	84	276.421
8783	46912673033 178874244247 2427225872126925200442364062463 93392608936292328935016901172993	19022197718356004612075434506285892714087218913509 83192703893088711838489040519794609	85	279.970
8783	228359 46912673033 178874244247 34938786884895059426078183 93392608936292328935016901172993	62528275760451074898730376346792406935826991336331 00030224599773250502664976268118271	85	281.686
8783	34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	79200973913004935332858410060280044361743004714151 39687244287114062842026532437932303897	88	291.993
8783	228359 46912673033 178874244247 2427225872126925200442364062463 93392608936292328935016901172993	43438900487660588572089341484209401742962432238701 9170902668321845146725518804059777116631	90	297.771
8783	228359 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	18086255201799894027676213662955490650403270813518 89883839418161080276542336920993782985615023	94	309.794
8783	46912673033 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	37155293930759631177856956124421555415571847541299 6210953713122179205284205447371486539308352709601	99	327.443
8783	178874244247 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	14167014352315120132446155485790614648382413447882 78938149757803596271553160939757171294923407930559	100	329.373
8783	228359 46912673033 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	84847457667343386161442366436167819731445715326836 40173717897486772113949587175630529462991611641177 4759	104	345.243
8783	228359 178874244247 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	32351652304803285183252716205796589704899595525450 65900369405422714409756082790420078797374145116145 22681	105	347.174
8783	46912673033 178874244247 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	66461251216397749735556214678277438249966442442794 74843622001782825211891131824445518737571504902439 3535915447	110	364.823
8783	228359 46912673033 178874244247 34938786884895059426078183 2427225872126925200442364062463 93392608936292328935016901172993	15177024866525373731861881627716757521324086829794 16595814676705124182562246972298554213393091288016 1483468115561473	116	382.624

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-08-27	Seth_Tr	Manual testing	100000000	100000000		-	skipped known factor: 228359 skipped known factor: 46912673033 skipped known factor: 178874244247	-	-	0.018	-	-	26.326%
2021-08-27	Seth_Tr	Manual testing	400000000	400000000		-	skipped known factor: 228359 skipped known factor: 46912673033 skipped known factor: 178874244247	-	-	0.071	-	-	30.012%

ECM factoring results:

Total ECM effort:	3,118.406 GHz-days
Estimated T-Level:	46.509

Digits	B1	Complete	FacMiss
20	11000	5,592.200	0.000%
25	50000	1,572.936	0.000%
30	250000	424.442	0.000%
35	1000000	87.806	0.000%
40	3000000	15.241	0.000%
45	11000000	2.289	10.137%
50	44000000	0.302	73.948%
55	110000000	0.036	96.491%
60	260000000	0.004	99.627%

ECM Summary

B1	B2	curves	GHz-days
3000000	300000000	2,711	20.69
3000000	600000000	1,000	10.12
11000000	36578884662	9,600	3,088

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13	Carsten Kossendey	durandal	3000000	300000000						1	0.008
2011-04-27	James Hintz	17_051310	3000000	300000000						11	0.084
2013-04-18	Axon		3000000	300000000						30	0.229
2017-01-19	Ismo Laitela	6600K	3000000	600000000						1000	10.12
2018-06-14	James Hintz	3_1_2018	3000000	300000000						2669	20.37
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	771.9

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 = 400000000 (P-1 stage 1)

B1 = 100000000 (P-1 stage 1)

10⁰

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10⁴

10⁵

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10⁹

10¹⁰

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10¹⁸

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10²¹

10²²

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