M5779577 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	Prob over default TF
Actual	2⁶⁷	5.1412	65.6716%	70000	1015000	0.0278	2.4555%	5.1690	66.5146%	3.6114%
PrimeNet	2⁶²	0.1063	62.9032%	24000	550000	0.0121	3.1874%	0.1184	64.0856%	1.1824%
GPU72	2⁶⁶	2.5553	65.1515%	36000	800000	0.0178	2.2769%	2.5731	65.9450%	0.7934%
Difference	+1	+2.5859	+0.5201%	+34000	+215000	+0.0100	+0.1787%	+2.5960	+0.5696%	+0.5696%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5779577	1480282932562972989846713	25	80.292	128061528773037628 2² × 151 × 212022398630857	2011-04-29	151	212022398630857	68,485	2,645,068	4,940,250

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
unknown			70000	1015000		-		-	-	0.028	-	-	2.456%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-05-23T00:00:00	ANONYMOUS	v4_computers	?	2⁶²		-	-	0.053	-	-
2009-03-27T20:47:00	GrunwalderGIMP	Manual testing	2⁶²	2⁶³		-	-	0.170	-	-

ECM factoring results:

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		1480282932562972989846713	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2011-04-29T02:34:00	Bdot	Heizer			1480282932562972989846713	80.292		1		1	-

date	userid	compid	res64	spent (GHz-days)
2000-08-10T00:00:00	ANONYMOUS	v4_computers	98AC7B3A04485841	0.913

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T16:57:17

kkmrkkblmbrbk

Manual testing

1480282932562972989846713

DA03190FAB290B__

2018-08-08T08:02:34

Battlemaxx

Work-3

1480282932562972989846713

DA03190FAB290B__

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 = 70000, B2 = 1015000 (P-1 stage 2)

B1 = 70000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

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