M608 401 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	48.8394	70.1493%	1750000	5543237700	6.6903	11.5968%	55.5297	73.6110%
Target	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4538%	0.0006	61.5699%
Difference	+23	+48.8394	+15.6038%	+1740000	+5542877700	+6.6897	-3.8570%	+55.5291	+12.0411%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
608401	18572048927	11	34.112	15263 15263	-	1	15263	4.904e-9	1.834e-5	3.422e-5
608401	377047178361047	15	48.422	309867323 1789 × 173207	2014-04-03	1789	173207	0.0001	0.0002	0.0004
608401	21281828293859087023801665111719	32	104.069	17489968206708311642980259 43 × 2659 × 38327 × 1260341 × 3166717601	2022-12-18	1260341	3166717601	2.302e+11	3.8275	7.0996

exponent	prime factors	composite factor	digits	bits*
608401	18572048927 377047178361047	7002538644308660554946569	25	82.534
608401	18572048927 21281828293859087023801665111719	395247156329563897849595337998914189075513	42	138.182
608401	377047178361047 21281828293859087023801665111719	8024253308563863751993778454757223462572809793	46	152.491
608401	18572048927 377047178361047 21281828293859087023801665111719	14902682504928970570619024726134961005357457677546 0742111	57	186.604

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17	alpertron	Manual testing	1000000	30000000	12	-	skipped known factor: 18572048927 skipped known factor: 377047178361047	-	-	0.057	-	-	5.469%
2022-12-18	USAFSS	6917th_Scty_Sq	1750000	5543237700			21281828293859087023801665111719	32	104.069	6.690	0.018	13.38	11.597%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-04-03	TJAOI	Manual testing	?	?	377047178361047	48.422	15	5.23347e-5	0.019	0.000

ECM factoring results:

Total ECM effort:	18.749 GHz-days
Estimated T-Level:	26.530

Digits	B1	Complete	FacMiss
20	11000	24.808	0.000%
25	50000	3.182	4.149%
30	250000	0.306	73.637%
35	1000000	0.023	97.679%
40	3000000	0.002	99.849%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	4.766
250000	25000000	44	3.731
250000	40000000	100	10.25

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-12-03	Richard B. Woods	Puttputt	50000	5000000						1	0.017
2015-02-04	Richard B. Woods	Puttputt	50000	5000000						9	0.153
2015-09-11	TJAOI	Manual testing	50000	5000000						90	1.526
2016-04-01	TJAOI	Manual testing	50000	5000000						90	1.526
2016-10-28	TJAOI	Manual testing	50000	5000000						91	1.543
2019-04-26	TJAOI	Manual testing	250000	25000000						44	3.731
2022-08-02	TJAOI	Manual testing	250000	40000000						100	10.25

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-0

18572048927

377047178361047

FF04AAD8BC7186__

2017-10-13

Oliver Kruse

Threadripper

FF04AAD8BC7186__

2017-12-16

ATH

ec2-1xf

18572048927

377047178361047

FF04AAD8BC7186__

2020-04-19

Oliver Kruse

AddPrpType5

18572048927

377047178361047

86F821ABDD2DF9__

2022-12-18

Kevin_9611

PRP-CF

18572048927

377047178361047

21281828293859087023801665111719

86F821ABDD2DF9AD

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 = 1750000, B2 = 5543237700 (P-1 stage 2)

B1 = 1000000, B2 = 30000000 (P-1 stage 2)

B1 = 1750000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.7

ECM T-Level=26.53 ~= 72-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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