M2569529 Mersenne number exponent details

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M2569529

<<<

>>>

is 2 ^2569529 - 1

has 773506 decimal digits

takes 0.178 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	11.5640	67.1642%	-	-	-	-	11.5640	67.1642%	0.0000%
PrimeNet	2⁵⁹	0.0299	62.7119%	11000	200000	0.0021	2.6890%	0.0320	63.7146%	1.0027%
GPU72	2⁶³	0.6211	65.0794%	12000	190000	0.0022	1.5041%	0.6233	65.6046%	0.5252%
Difference	+4	+10.9428	+2.0848%	-12000	-190000	-0.0022	-1.5041%	+10.9406	+1.5596%	+1.5596%

Known prime factors (2 factors, 60.9 bits, 0.00236935% 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
2569529	61668697	8	25.878	12 2² × 3	-	4	4	1.744e-12	4.023e-7	8.187e-7
2569529	34431688601	11	35.003	6700 2² × 5² × 67	2008-07-14	25	67	2.583e-9	2.744e-6	5.117e-6

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
2569529	61668697 34431688601	2123357371533422897	19	60.881

P-1 results:
No P-1 results for M2569529

Trial Factoring results:
No TF results for M2569529

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.277 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.277 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
		34431688601	1	0.00000e+0
50000	5000000		3	0.277

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-07-14T20:25:00	George Woltman	Manual testing			34431688601	35.003		1		1	-
2018-03-20T22:04:22	Oliver Kruse	HTC5	50000	5000000						3	0.277

Lucas-Lehmer results:
No L-L results for M2569529

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-15T05:22:08

Oliver Kruse

GTX-1

61668697

34431688601

4D7CC04BA9FC62__

2017-12-01T21:11:58

kkmrkkblmbrbk

c4.xlarge

61668697

34431688601

4D7CC04BA9FC62__

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

10⁰

10¹

10²

10⁰

10¹

10²

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-03-20T22:04:22+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