M598 487 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	6.5181	45.8062%	6.5181	45.8062%
Target	2⁴⁴	0.0000	54.5455%	10000	360000	0.0006	15.4235%	0.0006	61.5561%
Difference	-44	0.0000	-54.5455%	+1740000	+5399424390	+6.5175	+30.3827%	+6.5175	-15.7500%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
598487	7885664713	10	32.877	6588 2² × 3³ × 61	-	27	61	1.363e-9	6.357e-7	1.211e-6
598487	1084376867993511469315840799	28	89.809	905931848138315008777 13² × 37 × 18443 × 118273 × 66418631	2023-01-03	118273	66418631	279,172,227	0.0822	0.1489

exponent	prime factors	composite factor	digits	bits*
598487	7885664713 1084376867993511469315840799	8551032403529892506544708040600025687	37	122.686

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-03	USAFSS	USAFSACS	1750000	5399784390			1084376867993511469315840799	28	89.809	6.518	0.018	13.04	45.806%

ECM factoring results:

Total ECM effort:	18.133 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	4.760
250000	25000000	44	3.726
250000	35000000	100	9.65

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-11	Richard B. Woods	Puttputt	50000	5000000						5	0.085
2014-09-27	Richard B. Woods	Puttputt	50000	5000000						5	0.085
2015-08-14	TJAOI	Manual testing	50000	5000000						90	1.524
2016-03-24	TJAOI	Manual testing	50000	5000000						90	1.524
2016-10-28	TJAOI	Manual testing	50000	5000000						91	1.541
2018-09-14	TJAOI	Manual testing	250000	25000000						44	3.726
2022-08-02	TJAOI	Manual testing	250000	35000000						100	9.65

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-27

Oliver Kruse

GTX-1

7885664713

8D40BBCA8F6FCB__

2017-09-28

Oliver Kruse

Manual testing

7885664713

8D40BBCA8F6FCB__

2017-11-08

kkmrkkblmbrbk

c4.xlarge

7885664713

8D40BBCA8F6FCB__

2020-04-19

Oliver Kruse

AddPrpType5

7885664713

52ABDD4F4DC290__

2023-01-04

Wentao Huang

Biolake

7885664713

1084376867993511469315840799

52ABDD4F4DC29050

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)

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10⁵

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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