M2 795 393 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	10.6296	67.1642%	288000	226423890	1.4121	7.4998%	12.0417	69.6268%
Target	2⁶³	0.5709	65.0794%	15000	260000	0.0032	1.7892%	0.5741	65.7042%
Difference	+4	+10.0587	+2.0848%	+273000	+226163890	+1.4089	+5.7107%	+11.4675	+3.9227%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2795393	22631501729	11	34.398	4048 2⁴ × 11 × 23	-	16	23	1.536e-9	1.835e-6	3.647e-6
2795393	32823504607	11	34.934	5871 3 × 19 × 103	2008-09-07	19	103	1.040e-9	2.640e-6	4.331e-6
2795393	14943638762250922191529	23	73.662	2672904804843348 2² × 3² × 31 × 38329 × 62487307	2023-01-21	38329	62487307	798.05	0.3853	0.7121

exponent	prime factors	composite factor	digits	bits*
2795393	22631501729 32823504607	742845201265159965503	21	69.332
2795393	22631501729 14943638762250922191529	338196986485433165509433032653641	33	108.060
2795393	32823504607 14943638762250922191529	490502595758086922243650667874103	33	108.596
2795393	22631501729 32823504607 14943638762250922191529	11100810343978132246489468649264766798824087	44	142.994

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-01-21	USAFSS	USAFSACS	288000	226423890			14943638762250922191529	23	73.662	1.412	0.432	2.824	7.500%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-07	Will Edgington	Manual testing	?	?	32823504607	34.934	11	2.21695e-10	1.006	1.03291e-9

ECM factoring results:

Total ECM effort:	0.312 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	0.312

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-04-28	ATH	ec2-ECMCF	50000	5000000						3	0.312

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-21

Oliver Kruse

GTX-1

22631501729

32823504607

8357E1C63DDDDB__

2017-12-06

kkmrkkblmbrbk

c4.xlarge

22631501729

32823504607

8357E1C63DDDDB__

2023-01-22

LordJulius

WhiteBox

22631501729

32823504607

14943638762250922191529

8357E1C63DDDDB2D

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 = 288000, B2 = 226423890 (P-1 stage 2)

B1 = 288000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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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