M1482869 Mersenne number exponent details

≡

M1482869

<<<

>>>

is 2 ^1482869 - 1

has 446389 decimal digits

takes 0.057 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	20.0381	68.6567%	500000	15000000	0.0714	4.9415%	20.1095	70.2055%	1.5488%
PrimeNet	2⁵⁷	0.0129	63.1579%	6500	100000	0.0006	2.3350%	0.0136	64.0182%	0.8603%
GPU72	2⁶¹	0.2072	65.5738%	6000	50000	0.0005	0.9455%	0.2076	65.8993%	0.3255%
Difference	+6	+19.8310	+3.0829%	+494000	+14950000	+0.0710	+3.9960%	+19.9019	+4.3063%	+4.3063%

Known prime factors (1 factor, 27.7 bits, 0.00186597% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1482869	213533137	9	27.670	72 2³ × 3²	-	9	9	1.225e-11	4.983e-7	1.014e-6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T19:14:56	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 213533137	-	-	0.071	-	-	4.942%

Trial Factoring results:
No TF results for M1482869

ECM factoring results:

Old Calculation Method

Total ECM effort:	26.553 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	26.553 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.674	18.740%
30	250000	0.144	86.623%
35	1000000	0.010	99.005%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		251	11.93
250000	40000000		50	14.62

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-11-24T10:43:38	ATH	ec2-1xe	50000	5000000						3	0.143
2018-10-08T14:19:17	Chang Chia-Tche	exbpc13	50000	5000000						3	0.143
2019-05-10T12:38:30	TJAOI	Manual testing	50000	5000000						245	11.64
2022-04-07T09:48:13	TJAOI	Manual testing	250000	40000000						50	14.62

Lucas-Lehmer results:
No L-L results for M1482869

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T06:38:26

Oliver Kruse

GTX-1

213533137

5697A0FA1D2BE0__

2017-10-28T15:06:45

kkmrkkblmbrbk

old

213533137

5697A0FA1D2BE0__

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

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-04-07T09:48:13+00:00

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