M2 297 483 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	12.9332	67.1642%	500000	15000000	0.1264	5.2091%	13.0596	68.8746%
Target	2⁶²	0.2674	64.5161%	12000	1000000	0.0064	1.7372%	0.2739	65.1325%
Difference	+5	+12.6658	+2.6481%	+488000	+14000000	+0.1199	+3.4719%	+12.7858	+3.7421%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2297483	6888356227024073	16	52.613	1499109292 2² × 2677 × 139999	-	2677	139999	0.0004	0.0010	0.0014
2297483	59840172158737196641	20	65.698	13022984753040 2⁴ × 3 × 5 × 19 × 29 × 98479921	2019-03-26	29	98479921	5.2031	0.5256	0.9816

exponent	prime factors	composite factor	digits	bits*
2297483	6888356227024073 59840172158737196641	412200422515829933402933114041738793	36	118.311

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-04-28	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 6888356227024073	-	-	0.126	-	-	5.209%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-03-26	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	59840172158737196641	65.698	20	2.028	0.313	4.084

ECM factoring results:

Total ECM effort:	21.853 GHz-days
Estimated T-Level:	21.565

Digits	B1	Complete	FacMiss
20	11000	3.257	3.850%
25	50000	0.313	73.120%
30	250000	0.020	98.000%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	3	0.265
50000	6838073	7	0.714
50000	27023535	7	1.751
50000	45033450	50	19.12

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-02-01	Oliver Kruse	ECM-HTC	50000	5000000						3	0.265
2022-08-26	debrouxl	o9020	50000	6838073						7	0.714
2022-10-25	Nesowa	309b3ECMtrial	50000	27023535						7	1.751
2023-04-29	JacobZ	CServer	50000	45033450						50	19.12

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-11

Oliver Kruse

GTX-3

6888356227024073

57D399102BD35D__

2017-11-22

kkmrkkblmbrbk

c4.xlarge

6888356227024073

57D399102BD35D__

2019-03-27

Chang Chia-Tche

homura

6888356227024073

59840172158737196641

E91BF3DBF06F5BF6

2019-03-28

kkmrkkblmbrbk

c5.large

6888356227024073

59840172158737196641

E91BF3DBF06F5BF6

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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