M8 377 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	100000000	10000000000	0.0943	40.9570%	0.0943	40.9570%
Target	2⁴⁴	0.0003	68.1818%	500	10000	0.0000	1.1967%	0.0003	68.5626%
Difference	-44	-0.0003	-68.1818%	+99999500	+9999990000	+0.0943	+39.7604%	+0.0940	-27.6055%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
8377	50263	5	15.617	3 3	-	1	3	5.214e-13	1.635e-10	3.000e-10
8377	134033	6	17.032	8 2³	-	8	8	2.088e-12	1.179e-9	2.400e-9
8377	787439	6	19.587	47 47	-	1	47	8.422e-12	5.169e-10	6.563e-10
8377	2596871	7	21.308	155 5 × 31	-	5	31	3.447e-11	9.459e-10	1.500e-9
8377	430798028448313	15	48.614	25713144828 2² × 3² × 7 × 19² × 53 × 5333	-	361	5333	0.0079	9.315e-8	1.083e-7
8377	253627056500386361327839418106645372884929	42	137.542	15138298704809977398104298561934187232 2⁵ × 3 × 17 × 9275918324025721444916849609028301	2021-03-24	32	9275918324025721444916849609028301	1.674e+13	7.450e+22	1.391e+23

exponent	prime factors	composite factor	digits	bits*
8377	50263 134033	6736900679	10	32.649
8377	50263 787439	39579046457	11	35.204
8377	134033 787439	105542811487	12	36.619
8377	50263 2596871	130526527073	12	36.926
8377	134033 2596871	348066410743	12	38.341
8377	787439 2596871	2044877503369	13	40.895
8377	50263 134033 787439	5304898333771081	16	52.236
8377	50263 134033 2596871	17494862003175409	17	53.958
8377	50263 787439 2596871	102781677951836047	18	56.512
8377	134033 787439 2596871	274081066409057177	18	57.927
8377	50263 430798028448313	21653201303897556319	20	64.231
8377	134033 430798028448313	57741152147012736329	20	65.646
8377	787439 430798028448313	339227168723311140407	21	68.201
8377	2596871 430798028448313	1118726906934599028623	22	69.922
8377	50263 134033 787439 2596871	13776136640918440887551	23	73.545
8377	50263 134033 430798028448313	2902243530365301166104527	25	81.263
8377	50263 787439 430798028448313	17050575181539787850277041	26	83.818
8377	134033 787439 430798028448313	45467635105491562082171431	26	85.233
8377	50263 2596871 430798028448313	56230570523253750975677849	26	85.540
8377	134033 2596871 430798028448313	149946323517165111603426559	27	86.955
8377	787439 2596871 430798028448313	880929196869673724499866497	27	89.509
8377	50263 134033 787439 430798028448313	2285339743307322384936182636353	31	100.850
8377	50263 134033 2596871 430798028448313	7536752058943270004523029135017	31	102.572
8377	50263 787439 2596871 430798028448313	44278144222260410414536789738711	32	105.126
8377	134033 787439 2596871 430798028448313	118073583044032978315890606192401	33	106.541
8377	50263 134033 787439 2596871 430798028448313	5934732504542229589091609539048651463	37	122.159
8377	50263 253627056500386361327839418106645372884929	12748056740878919679421192672294316377315186327	47	153.159
8377	134033 253627056500386361327839418106645372884929	33994395263916285167854300727087999263885688657	47	154.574
8377	787439 253627056500386361327839418106645372884929	199715835743607735977632543554478725779135606831	48	157.129
8377	2596871 253627056500386361327839418106645372884929	658636747841214830527787677538022276129058457159	48	158.850
8377	50263 134033 253627056500386361327839418106645372884929	17086602891502242413918607174456241070006863689667 91	52	170.191
8377	50263 787439 253627056500386361327839418106645372884929	10038317051980955633443744536678764193836693006146 553	53	172.746
8377	134033 787439 253627056500386361327839418106645372884929	26768512612222975676290022710237447052354882790379 423	53	174.161
8377	50263 2596871 253627056500386361327839418106645372884929	33105058856742981026818192036093613665074865232182 817	53	174.467
8377	134033 2596871 253627056500386361327839418106645372884929	88279059223401547380130965783453739736406092188392 247	53	175.882
8377	787439 2596871 253627056500386361327839418106645372884929	51863626208333836493597060101286272309278966244682 5801	54	178.437
8377	430798028448313 253627056500386361327839418106645372884929	10926203590151533227898639362697799338379659117417 3174777	57	186.156
8377	50263 134033 787439 253627056500386361327839418106645372884929	13454657494281634264173654114846648011925134736928 40938249	58	189.778
8377	50263 134033 2596871 253627056500386361327839418106645372884929	44371703537458319759675227331737353203709794116651 59510961	58	191.500
8377	50263 787439 2596871 253627056500386361327839418106645372884929	26068214441094836236776690318709519050812886803564 805235663	59	194.054
8377	134033 787439 2596871 253627056500386361327839418106645372884929	69514374115816091067462947565557029364295876826735 402585433	59	195.469
8377	50263 430798028448313 253627056500386361327839418106645372884929	54918377105178651463386931028727948814497680621874 66283816351	61	201.773
8377	134033 430798028448313 253627056500386361327839418106645372884929	14644718457987804531349383297004741387210408504847 953134885641	62	203.188
8377	787439 430798028448313 253627056500386361327839418106645372884929	86037188288253331734432766811233924132143403957599 750573226103	62	205.743
8377	2596871 430798028448313 253627056500386361327839418106645372884929	28373941243360402245066367500448396865657323751906 6266556322767	63	207.464
8377	50263 134033 787439 2596871 253627056500386361327839418106645372884929	34940009861832641853238901334875929669376036569422 01540151618879	64	211.086
8377	50263 134033 430798028448313 253627056500386361327839418106645372884929	73608748385384101915921405265734931634535676267917 2668418756973583	66	218.805
8377	50263 787439 430798028448313 253627056500386361327839418106645372884929	43244871949324772129677941582330507286539239131208 36263062063615089	67	221.360
8377	134033 787439 430798028448313 253627056500386361327839418106645372884929	11531822457839458812361227034010116553203576862648 967368581214263399	68	222.775
8377	50263 2596871 430798028448313 253627056500386361327839418106645372884929	14261594087150238980437708296750377716585340637420 827755920451237721	68	223.081
8377	134033 2596871 430798028448313 253627056500386361327839418106645372884929	38030444666713247941129804351875999770946480744393 008905343609429311	68	224.496
8377	787439 2596871 430798028448313 253627056500386361327839418106645372884929	22342747918730471783452815358185585179496337357877 6021870844243323713	69	227.051
8377	50263 134033 787439 430798028448313 253627056500386361327839418106645372884929	57962399219838471828571235441045048831367138384732 5046846997572521223937	72	238.392
8377	50263 134033 2596871 430798028448313 253627056500386361327839418106645372884929	19115242402830079812650073561383433764870829616554 25806609285840745458793	73	240.114
8377	50263 787439 2596871 430798028448313 253627056500386361327839418106645372884929	11230135386391497032516888583484820678770244046190 019187294244202179786519	74	242.668
8377	134033 787439 2596871 430798028448313 253627056500386361327839418106645372884929	29946655317912013245515312009036885383634325850884 086539414866465407224529	74	244.083
8377	50263 134033 787439 2596871 430798028448313 253627056500386361327839418106645372884929	15052087362442115217593361275102209700376121202429 86841730609433150763326501127	79	259.700

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	400000000	400000000		-	skipped known factor: 50263 skipped known factor: 134033 skipped known factor: 787439 skipped known factor: 2596871 skipped known factor: 430798028448313	-	-	0.059	-	-	29.938%
unknown			100000000	10000000000		-	skipped known factor: 50263 skipped known factor: 134033 skipped known factor: 787439 skipped known factor: 2596871 skipped known factor: 430798028448313	-	-	0.094	-	-	40.957%

ECM factoring results:

Total ECM effort:	2,090.752 GHz-days
Estimated T-Level:	46.229

Digits	B1	Complete	FacMiss
20	11000	4,606.300	0.000%
25	50000	1,300.346	0.000%
30	250000	348.457	0.000%
35	1000000	71.887	0.000%
40	3000000	12.449	0.000%
45	11000000	1.867	15.466%
50	44000000	0.246	78.214%
55	110000000	0.029	97.136%
60	260000000	0.003	99.697%

ECM Summary

B1	B2	factor	curves	GHz-days
3000000	300000000		3,489	22.20
11000000	30114149530	253627056500386361327839418106645372884929	617	137.9
11000000	36578884662		7,200	1,931

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-13	Carsten Kossendey	durandal	3000000	300000000						1	0.006
2013-04-18	Axon		3000000	300000000						30	0.191
2017-11-21	James Hintz	10_12_2017	3000000	300000000						1000	6.364
2017-12-23	James Hintz	10_12_2017	3000000	300000000						2458	15.64
2021-03-24	Bruno Victal	Manual testing	11000000	30114149530	253627056500386361327839418106645372884929	137.542	617	2	643742195221957	617	137.9
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	643.5
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	643.5
2021-05-23	Bruno Victal	Manual testing	11000000	36578884662						2400	643.5

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-21

Oliver Kruse

Oliver-PC

A93C1F7945B46E__

2017-09-21

Oliver Kruse

Manual testing

A93C1F7945B46E__

2017-10-02

kkmrkkblmbrbk

Manual testing

50263

134033

787439

2596871

430798028448313

A93C1F7945B46E__

2017-12-07

ATH

Manual testing

50263

134033

787439

2596871

430798028448313

A93C1F7945B46E__

2020-04-17

Oliver Kruse

Manual testing

50263

134033

787439

2596871

430798028448313

F39A8EB32D3705__

2021-03-24

Bruno Victal

Manual testing

50263

134033

787439

2596871

430798028448313

253627056500386361327839418106645372884929

F39A8EB32D370564

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 = 100000000, B2 = 10000000000 (P-1 stage 2)

B1 = 400000000 (P-1 stage 1)

B1 = 100000000 (P-1 stage 1)

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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