M2 568 793 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	11.5673	67.1642%	360000	317428650	1.7736	8.0156%	13.3409	69.7962%
Target	2⁶³	0.6213	65.0794%	12000	1440000	0.0090	1.4802%	0.6303	65.5963%
Difference	+4	+10.9460	+2.0848%	+348000	+315988650	+1.7646	+6.5354%	+12.7105	+4.1999%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2568793	102751721	9	26.615	20 2² × 5	-	4	5	3.495e-12	4.078e-7	8.187e-7
2568793	131149984728486872023	21	66.830	25527550240227 3 × 7 × 557 × 619 × 1049 × 3361	2019-01-04	1049	3361	11.223	0.0001	0.0002
2568793	105823802216495472139273	24	76.486	20597962197906852 2² × 3 × 11 × 127 × 157 × 37997 × 205967	2019-01-04	37997	205967	7,830.1	0.0047	0.0078

exponent	prime factors	composite factor	digits	bits*
2568793	102751721 131149984728486872023	13475886639975743826270001583	29	93.444
2568793	102751721 105823802216495472139273	10873577800508524351017852438833	32	103.101
2568793	131149984728486872023 105823802216495472139273	13878790044603796369413500473513531983259279	44	143.316
2568793	102751721 131149984728486872023 105823802216495472139273	14260695624807068400907889342878303280684341064691 59	52	169.930

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-01-02	alpertron		2000000	2000000			131149984728486872023 105823802216495472139273	44	143.316	0.201	0.356	0.402	3.513%
2022-09-01	harlee	i5-5250U_1600	360000	317428650		-	skipped known factor: 102751721 skipped known factor: 131149984728486872023 skipped known factor: 105823802216495472139273	-	-	1.774	-	-	8.016%

ECM factoring results:

Total ECM effort:	0.277 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	0.277

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-03-19	ATH	ec2-ECMCF	50000	5000000						3	0.277

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-15

Oliver Kruse

GTX-2

102751721

054940C1BE3392__

2017-12-01

kkmrkkblmbrbk

c4.xlarge

102751721

054940C1BE3392__

2019-01-04

Oliver Kruse

GTX-3

102751721

131149984728486872023

105823802216495472139273

054940C1BE3392E6

2019-01-21

ANONYMOUS

dory

102751721

131149984728486872023

105823802216495472139273

054940C1BE3392E6

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 = 317428650 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 360000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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