M990 053 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	unknown	2000000	50000000	0.1623	34.2124%	0.1623	34.2124%
Target	2⁴⁴	0.0000	54.5455%	16000	3250000	0.0068	18.4577%	0.0068	62.9353%
Difference	-44	0.0000	-54.5455%	+1984000	+46750000	+0.1555	+15.7547%	+0.1555	-28.7229%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
990053	21050948449639	14	44.259	10631223 3³ × 393749	-	27	393749	2.676e-6	0.0008	0.0014
990053	195667020531001009	18	57.441	98816437368 2³ × 3² × 11 × 71 × 101 × 127 × 137	2014-09-15	127	137	0.0244	4.485e-6	9.088e-6

exponent	prime factors	composite factor	digits	bits*
990053	21050948449639 195667020531001009	4118976362492558072945294685751	31	101.700

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2014-09-15	alpertron	Manual testing	2000000	50000000			195667020531001009	18	57.441	0.070	0.048	0.141	34.212%

ECM factoring results:

Total ECM effort:	14.232 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	7.983
250000	25000000		44	6.250

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-12-30	Richard B. Woods	Puttputt	50000	5000000						1	0.028
2016-09-09	TJAOI	Manual testing	50000	5000000						99	2.812
2017-02-03	TJAOI	Manual testing	50000	5000000						90	2.557
2017-08-18	TJAOI	Manual testing	50000	5000000						91	2.585
2020-01-06	TJAOI	Manual testing	250000	25000000						44	6.250

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-28

Oliver Kruse

GTX-0

21050948449639

195667020531001009

E3C5E3EC1FEBA4__

2017-10-15

Oliver Kruse

Threadripper

21050948449639

195667020531001009

E3C5E3EC1FEBA4__

2017-12-25

ATH

ec2-1xf

21050948449639

195667020531001009

E3C5E3EC1FEBA4__

2020-04-25

Oliver Kruse

AddPrpType5

21050948449639

195667020531001009

35E399598E4E5F__

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 = 2000000, B2 = 50000000 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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