M4 624 903 Mersenne number exponent details

≡

is 2 ^4624903 - 1

has 1392235 decimal digits

takes 0.609 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	6.4248	65.6716%	-	-	-	-	6.4248	65.6716%
Target	2⁶⁵	1.5775	64.6154%	28000	4800000	0.0550	2.1891%	1.6325	65.3900%
Difference	+2	+4.8473	+1.0563%	-28000	-4800000	-0.0550	-2.1891%	+4.7923	+0.2817%

Known prime factors (1 factor, 39.6 bits, 0.00085572% 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
4624903	819653059079	12	39.576	88613 7 × 12659	-	7	12659	1.869e-8	0.0001	0.0002

P-1 results:
No P-1 results for M4624903

Trial Factoring results:
No TF results for M4624903

ECM factoring results:

Total ECM effort:	0.589 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	0.589

Lucas-Lehmer results:
No L-L results for M4624903

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20

kkmrkkblmbrbk

Manual testing

819653059079

B93A2FDF04D1BA__

no

2018-03-01

Oliver Kruse

GTX-4

819653059079

B93A2FDF04D1BA__

no

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

10⁰

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

this exponent TF target: 65

TF double-checked to: 67.8

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

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-06-05T21:50:05+00:00