M583 139 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	unknown	1750000	5399784390	6.2560	45.7465%	6.2560	45.7465%
Target	2⁴⁴	0.0000	54.5455%	10000	340000	0.0006	15.2381%	0.0006	61.4719%
Difference	-44	0.0000	-54.5455%	+1740000	+5399444390	+6.2554	+30.5083%	+6.2554	-15.7254%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
583139	634455233	9	29.241	544 2⁵ × 17	-	32	32	1.371e-10	6.767e-7	1.377e-6
583139	137312809413930794296889400529	30	96.793	117735916663034708960376 2³ × 3³ × 7 × 13 × 61 × 937 × 37879 × 2766596957	2022-12-26	37879	2766596957	5.454e+10	3.1881	5.9531

exponent	prime factors	composite factor	digits	bits*
583139	634455233 137312809413930794296889400529	87118830490600055541508035787857018257	38	126.034

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-12-26	USAFSS	USAFSACS	1750000	5399784390			137312809413930794296889400529	30	96.793	6.256	0.017	12.51	45.746%

ECM factoring results:

Total ECM effort:	17.368 GHz-days
Estimated T-Level:	26.502

Digits	B1	Complete	FacMiss
20	11000	24.808	0.000%
25	50000	3.135	4.351%
30	250000	0.300	74.050%
35	1000000	0.023	97.711%
40	3000000	0.001	99.851%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	4.559
250000	25000000	44	3.569
250000	35000000	100	9.239

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-06-27	Richard B. Woods	Puttputt	50000	5000000						1	0.016
2015-08-21	TJAOI	Manual testing	50000	5000000						100	1.622
2016-03-04	TJAOI	Manual testing	50000	5000000						89	1.444
2016-11-11	TJAOI	Manual testing	50000	5000000						91	1.476
2018-11-30	TJAOI	Manual testing	250000	25000000						44	3.569
2021-12-23	TJAOI	Manual testing	250000	35000000						100	9.239

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-2

634455233

43A7D3EE709344__

2017-09-28

Oliver Kruse

Manual testing

634455233

43A7D3EE709344__

2017-11-08

kkmrkkblmbrbk

c4.xlarge

634455233

43A7D3EE709344__

2020-04-19

Oliver Kruse

AddPrpType5

634455233

26EE8D3E9DBC54__

2022-12-26

LordJulius

WhiteBox

634455233

137312809413930794296889400529

26EE8D3E9DBC5495

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 = 5399784390 (P-1 stage 2)

B1 = 1750000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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10⁸

10⁹

10¹⁰

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