M2 788 889 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	10.6544	67.1642%	330000	261254070	1.6290	7.7934%	12.2834	69.7232%
Target	2⁶³	0.5723	65.0794%	15000	240000	0.0031	1.7485%	0.5753	65.6900%
Difference	+4	+10.0821	+2.0848%	+315000	+261014070	+1.6260	+6.0449%	+11.7081	+4.0333%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2788889	664655797574176273	18	59.205	119161393224 2³ × 3 × 47 × 461 × 229153	2000-03-22	461	229153	0.0373	0.0014	0.0026
2788889	14389173660905628392503	23	73.607	2579732226866259 3² × 31 × 37 × 32719 × 7637807	2023-01-19	32719	7637807	1,235.1	0.0501	0.0870

exponent	prime factors	composite factor	digits	bits*
2788889	664655797574176273 14389173660905628392503	9563847696022560285173469805021353681319	40	132.813

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-03-22	ANONYMOUS	v4_computers	15000	116250		-		-	-	0.002	-	-	0.752%
2023-01-19	USAFSS	USAFSACS	330000	261254070			14389173660905628392503	23	73.607	1.629	0.431	3.258	7.793%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-03-22	ANONYMOUS	v4_computers	?	?	664655797574176273	59.205	18	0.010	0.951	0.043
2002-01-02	ANONYMOUS	v4_computers	?	?	664655797574176273	59.205	18	0.010	0.951	0.043

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
2018-04-26	ATH	ec2-ECMCF	50000	5000000						3	0.312

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Torrey Hoffman		974A630377B5DD3D	0.215
2000-04-12	ANONYMOUS	v4_computers	974A630377B5DD3D	0.215
2001-03-25	ANONYMOUS	v4_computers	974A630377B5DD3D	0.215

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-21

Oliver Kruse

GTX-1

664655797574176273

09D54032D3F39B__

2017-12-06

kkmrkkblmbrbk

c4.xlarge

664655797574176273

09D54032D3F39B__

2023-01-22

LordJulius

WhiteBox

664655797574176273

14389173660905628392503

09D54032D3F39B04

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 = 330000, B2 = 261254070 (P-1 stage 2)

B1 = 330000 (P-1 stage 1)

B1 = 15000, B2 = 116250 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10¹

10²

10³

10⁴

10⁵

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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