M2 920 637 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	10.1738	67.1642%	360000	282695490	1.7630	8.0124%	11.9368	69.7951%
Target	2⁶³	0.5465	65.0794%	17000	300000	0.0036	1.9440%	0.5501	65.7582%
Difference	+4	+9.6273	+2.0848%	+343000	+282395490	+1.7594	+6.0684%	+11.3867	+4.0369%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2920637	86769025346777119	17	56.268	14854469307 3 × 1321 × 3748289	-	1321	3748289	0.0036	0.0230	0.0427
2920637	30030068897597419237288298451086936999	38	124.498	5141013569573592890401699774927 7 × 2609 × 5119 × 31121 × 220771 × 303827 × 26343263	2023-02-05	303827	26343263	6.197e+10	0.1929	0.3002

exponent	prime factors	composite factor	digits	bits*
2920637	86769025346777119 30030068897597419237288298451086936999	26056798093410936854160883654518372229197464060477 25881	55	180.766

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-02-05	USAFSS	6917th_Scty_Sq	360000	282695490			30030068897597419237288298451086936999	38	124.498	1.763	0.451	3.526	8.012%

ECM factoring results:

Total ECM effort:	0.315 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	0.315

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-05-28	Alvin Bunk	WorkCAT	50000	5000000						3	0.315

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20

Oliver Kruse

Manual testing

86769025346777119

0D899A91DF426D__

2017-12-09

kkmrkkblmbrbk

c4.xlarge

86769025346777119

0D899A91DF426D__

2023-02-06

Rafael R

daham2

86769025346777119

30030068897597419237288298451086936999

7AD0650181189754

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 = 282695490 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

this exponent TF target: 63

TF double-checked to: 67.7

ECM T-Level=0.58 ~= -15-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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