M4 082 436 857 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁹	29.9902	59.4937%	-	-	-	-	29.9902	59.4937%
Target	2⁹²	245,680.2616	65.2174%	20000000	6000000000	125,796.0639	4.2443%	371,476.3255	66.6937%
Difference	-13	-245,650.2713	-5.7237%	-20000000	-6000000000	-125,796.0639	-4.2443%	-371,446.3352	-7.2000%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4082436857	24494621143	11	34.512	3 3	2012-08-20	1	3	5.646e-13	0.0004	0.0007
4082436857	645025023407	12	39.231	79 79	2014-08-28	1	79	2.131e-11	0.0019	0.0029
4082436857	18517933583353	14	44.074	2268 2² × 3⁴ × 7	2014-08-28	81	81	8.037e-10	0.0295	0.0600
4082436857	26650147802497	14	44.599	3264 2⁶ × 3 × 17	2014-08-28	64	64	1.017e-9	0.0233	0.0474
4082436857	53006360151289	14	45.591	6492 2² × 3 × 541	2014-08-28	4	541	1.673e-9	0.0121	0.0200
4082436857	63103644084023224681	20	65.774	7728673620 2² × 3 × 5 × 17 × 257 × 29483	2014-08-28	257	29483	0.0034	0.6727	1.0913

exponent	prime factors	composite factor	digits	bits*
4082436857	24494621143 645025023407	15799643576109172094201	23	73.742
4082436857	24494621143 18517933583353	453589767475468146632479	24	78.586
4082436857	24494621143 26650147802497	652785273827118004394071	24	79.111
4082436857	24494621143 53006360151289	1298370710075236218103327	25	80.103
4082436857	645025023407 18517933583353	11944530543051540210543671	26	83.305
4082436857	645025023407 26650147802497	17190012210105637038047279	26	83.830
4082436857	645025023407 53006360151289	34190428697305059286221623	26	84.822
4082436857	18517933583353 26650147802497	493505666993180349731032441	27	88.673
4082436857	18517933583353 53006360151289	981568256776858778971892017	27	89.665
4082436857	26650147802497 53006360151289	1412627332504239091811968633	28	90.190
4082436857	24494621143 63103644084023224681	1545699854580862147774262030383	31	100.286
4082436857	645025023407 63103644084023224681	40703429502364077574593645108167	32	105.005
4082436857	18517933583353 63103644084023224681	1168549090015488532433904560335393	34	109.848
4082436857	26650147802497 63103644084023224681	1681721441715384355659063843828457	34	110.374
4082436857	53006360151289 63103644084023224681	3344894485176492505629760798763809	34	111.366
4082436857	24494621143 645025023407 18517933583353	292576750383039528579897675201435953	36	117.816
4082436857	24494621143 645025023407 26650147802497	421062836530081695255636775627019897	36	118.342
4082436857	24494621143 645025023407 53006360151289	837481597657242452313152655319575089	36	119.334
4082436857	24494621143 18517933583353 26650147802497	12088234344921472631333881592537500063	38	123.185
4082436857	24494621143 18517933583353 53006360151289	24043142575744098080530070002321115431	38	124.177
4082436857	24494621143 26650147802497 53006360151289	34601771325938025995424565058334607519	38	124.702
4082436857	645025023407 18517933583353 26650147802497	318323504403763302394631646410301346487	39	127.904
4082436857	645025023407 18517933583353 53006360151289	633136087803061520282278087660501441919	39	128.896
4082436857	645025023407 26650147802497 53006360151289	911179978213914792122739489543574792631	39	129.421
4082436857	18517933583353 26650147802497 53006360151289	26158939121342614016500270669782926966449	41	134.264
4082436857	24494621143 645025023407 63103644084023224681	997015084881217103042333659099945920174881	42	139.517
4082436857	24494621143 18517933583353 63103644084023224681	28623167246926795604029559893635436549014199	44	144.360
4082436857	24494621143 26650147802497 63103644084023224681	41193129582878095826497936928627372897266351	44	144.885
4082436857	24494621143 53006360151289 63103644084023224681	81931923177708213414979785391432564194613687	44	145.877
4082436857	645025023407 18517933583353 63103644084023224681	753743404139469040625719367710740913595543951	45	149.079
4082436857	645025023407 26650147802497 63103644084023224681	1084752412306519580240989268777157868917692999	46	149.604
4082436857	645025023407 53006360151289 63103644084023224681	2157540643594912292969996538498436916889477263	46	150.596
4082436857	18517933583353 26650147802497 63103644084023224681	31142005963386140756337325129519700708242876321	47	154.448
4082436857	18517933583353 53006360151289 63103644084023224681	61940533919822014005416465914172549128061271577	47	155.440
4082436857	26650147802497 53006360151289 63103644084023224681	89141932413710635890111159152259079855483431073	47	155.965
4082436857	24494621143 645025023407 18517933583353 26650147802497	7797213641282274195603046855858667414661838974641	49	162.416
4082436857	24494621143 645025023407 18517933583353 53006360151289	15508428602697175134836012174214526025211123893417	50	163.408
4082436857	24494621143 645025023407 26650147802497 53006360151289	22319008359436836643930104551655074535381133197233	50	163.933
4082436857	24494621143 18517933583353 26650147802497 53006360151289	64075330328008863583545568081328765409280652703120 7	51	168.776
4082436857	645025023407 18517933583353 26650147802497 53006360151289	16873170319046307619259653372998568034142737728671 743	53	173.495
4082436857	24494621143 645025023407 18517933583353 63103644084023224681	18462659123431432083304671573912105890352547012750 355993	56	183.591
4082436857	24494621143 645025023407 26650147802497 63103644084023224681	26570599373403527906914420778225080891440145460088 477857	56	184.116
4082436857	24494621143 645025023407 53006360151289 63103644084023224681	52848140665481766178613487476540626376892723560497 571609	56	185.108
4082436857	24494621143 18517933583353 26650147802497 63103644084023224681	76281163770619024724335425535759847440315803271150 0654903	57	188.959
4082436857	24494621143 18517933583353 53006360151289 63103644084023224681	15172099117611809710539162825016297452224158373694 49152511	58	189.951
4082436857	24494621143 26650147802497 53006360151289 63103644084023224681	21834978624287535649578914235911632136418498352468 88976439	58	190.477
4082436857	645025023407 18517933583353 26650147802497 63103644084023224681	20087373125474079026335879825256214256001995776794 031045647	59	193.678
4082436857	645025023407 18517933583353 53006360151289 63103644084023224681	39953194341475272045117637751072366154364579139484 608802839	59	194.670
4082436857	645025023407 26650147802497 53006360151289 63103644084023224681	57498777041698914922743804712017815260711482305162 496125711	59	195.195
4082436857	18517933583353 26650147802497 53006360151289 63103644084023224681	16507243839288355361358143861378854643532828701557 58075727769	61	200.039
4082436857	24494621143 645025023407 18517933583353 26650147802497 53006360151289	41330191444635174220679949951710198987783664944862 6673394462249	63	208.007
4082436857	24494621143 645025023407 18517933583353 26650147802497 63103644084023224681	49203259446656736801693969578722801110720450040445 5781606903404314521	69	228.190
4082436857	24494621143 645025023407 18517933583353 53006360151289 63103644084023224681	97863835884708816044801533957963215092773622192031 6444905104087824977	69	229.182
4082436857	24494621143 645025023407 26650147802497 53006360151289 63103644084023224681	14084107598222412341067986104712546038776915316949 03655651496246507673	70	229.707
4082436857	24494621143 18517933583353 26650147802497 53006360151289 63103644084023224681	40433868395848904330802059582216615408460295412776 955464914405659619967	71	234.551
4082436857	645025023407 18517933583353 26650147802497 53006360151289 63103644084023224681	10647585343822027963182570687495969079739613474395 09994532133477784888983	73	239.269
4082436857	24494621143 645025023407 18517933583353 26650147802497 53006360151289 63103644084023224681	26080856908467997057610902153103080994786418914456 590425626611077847862488899567569	83	273.781

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-10-22	slaur	nocebo-1650	2⁶⁴	2⁶⁸	63103644084023224681	65.774	20	0.002	2,097,090	0.005
2023-07-21	LordJulius	RTX3060	2⁶⁸	2⁷³		-	-	0.454	-	-
2022-01-29	ramgeis	r4mg31s	2⁷³	2⁷⁴	24494621143	34.512	11	0.469	2,081,730	30.70
2022-01-29	ramgeis	r4mg31s	2⁷³	2⁷⁴	645025023407	39.231	12	0.469	2,081,730	0.959
2023-07-21	LordJulius	RTX3060	2⁷⁴	2⁷⁵		-	-	0.937	-	-
2022-02-04	ramgeis	r4mg31s	2⁷⁵	2⁷⁶		-	-	1.874	-	-
2022-02-08	ramgeis	r4mg31s	2⁷⁶	2⁷⁷		-	-	3.749	-	-
2022-04-07	ramgeis	r4mg31s	2⁷⁷	2⁷⁸		-	-	7.498	-	-
2022-04-23	ramgeis	r4mg31s	2⁷⁸	2⁷⁹	18517933583353	44.074	14	15.00	2,081,730	30.70
2022-04-23	ramgeis	r4mg31s	2⁷⁸	2⁷⁹	24494621143	34.512	11	15.00	2,081,730	30.70

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

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷⁹

2⁷⁸

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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