M2 898 559 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	10.2513	67.1642%	360000	282695490	1.7630	8.0056%	12.0143	69.7929%
Target	2⁶³	0.5506	65.0794%	16000	300000	0.0035	1.9088%	0.5541	65.7459%
Difference	+4	+9.7006	+2.0848%	+344000	+282395490	+1.7595	+6.0968%	+11.4602	+4.0470%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2898559	979968015193	12	39.834	169044 2² × 3 × 14087	-	4	14087	4.016e-8	8.638e-5	0.0002
2898559	4361677193227176654233	22	71.885	752387167766324 2² × 359 × 8039 × 65175581	2023-01-29	8039	65175581	228.65	0.3985	0.7428

exponent	prime factors	composite factor	digits	bits*
2898559	979968015193 4361677193227176654233	4274304141959411448195899451761969	34	111.719

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-29	Lisander Viaene	Desktop	72000	281496600			4361677193227176654233	22	71.885	1.725	0.448	3.450	6.010%
2023-02-02	USAFSS	6917th_Scty_Sq	360000	282695490			4361677193227176654233	22	71.885	1.763	0.448	3.526	8.006%

ECM factoring results:

Total ECM effort:	0.314 GHz-days
Estimated T-Level:	0.577

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.314

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-05-25	Alvin Bunk	WorkCAT	50000	5000000						3	0.314

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-24

Oliver Kruse

GTX-1

979968015193

A9DD8E12A38592__

2017-12-08

kkmrkkblmbrbk

c4.xlarge

979968015193

A9DD8E12A38592__

2023-01-31

LordJulius

WhiteBox

979968015193

4361677193227176654233

A9DD8E12A385922E

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 = 360000, B2 = 282695490 (P-1 stage 2)

B1 = 72000, B2 = 281496600 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 72000 (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