M2477641 Mersenne number exponent details

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M2477641

<<<

>>>

is 2 ^2477641 - 1

has 745845 decimal digits

takes 0.172 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	11.9928	67.1642%	2000000	60000000	0.5190	7.6402%	12.5118	69.6729%	2.5087%
PrimeNet	2⁵⁹	0.0310	62.7119%	10000	180000	0.0019	2.5336%	0.0329	63.6566%	0.9447%
GPU72	2⁶³	0.6442	65.0794%	11000	160000	0.0019	1.3796%	0.6461	65.5611%	0.4818%
Difference	+4	+11.3487	+2.0848%	+1989000	+59840000	+0.5170	+6.2606%	+11.8657	+4.1118%	+4.1118%

Known prime factors (1 factor, 30.5 bits, 0.00122958% 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
2477641	1481629319	10	30.465	299 13 × 23	-	13	23	6.147e-11	1.362e-6	2.661e-6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-07-04T12:37:34	alpertron	Manual testing	2000000	60000000	12	-	skipped known factor: 1481629319	-	-	0.519	-	-	7.640%

Trial Factoring results:
No TF results for M2477641

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.275 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:	0.275 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
50000	5000000		3	0.275

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-03-02T06:19:28	Gordon Spence	haswell	50000	5000000						3	0.275

Lucas-Lehmer results:
No L-L results for M2477641

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-14T02:30:01

Oliver Kruse

GTX-3

E4F43F2FC7EF33__

2017-11-29T09:30:09

storm5510

7700_Kaby_Lake

1481629319

E4F43F2FC7EF33__

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 = 60000000 (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

TF factor-bounds graph:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-07-04T12:37:34+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