M2 845 631 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	10.4419	67.1642%	360000	287380170	1.7916	8.0059%	12.2336	69.7930%
Target	2⁶³	0.5609	65.0794%	16000	260000	0.0033	1.8284%	0.5641	65.7179%
Difference	+4	+9.8811	+2.0848%	+344000	+287120170	+1.7883	+6.1775%	+11.6694	+4.0751%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2845631	5691263	7	22.440	1 1	-	1	1	1.964e-13	1.120e-7	2.279e-7
2845631	11114786635503318903812769041	29	93.166	1952956415554813484920 2³ × 5 × 13 × 3167 × 4649 × 54581 × 4673477	2023-01-29	54581	4673477	1.050e+9	0.0343	0.0533

exponent	prime factors	composite factor	digits	bits*
2845631	5691263 11114786635503318903812769041	63257173931534525254470171370588783	35	115.607

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			11114786635503318903812769041	29	93.166	1.725	0.440	3.450	5.996%
2023-02-01	USAFSS	USAFSACS	360000	287380170			11114786635503318903812769041	29	93.166	1.792	0.440	3.583	8.006%

ECM factoring results:

Total ECM effort:	0.313 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	0.313

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-05-08	ATH	ec2-ECMCF	50000	5000000						3	0.313

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-22

Oliver Kruse

GTX-0

5691263

4962485FB81B5B__

2017-12-07

kkmrkkblmbrbk

c4.xlarge

5691263

4962485FB81B5B__

2023-01-31

LordJulius

WhiteBox

5691263

11114786635503318903812769041

4962485FB81B5B62

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 = 287380170 (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