M6 951 319 Mersenne number exponent details

≡

is 2 ^6951319 - 1

has 2092556 decimal digits

takes 1.516 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	4.2746	65.6716%	-	-	-	-	4.2746	65.6716%
Target	2⁶⁷	4.2746	65.6716%	45000	900000	0.0290	2.2380%	4.3035	66.4399%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2380%	-0.0290	-0.7683%

Known prime factors (2 factors, 70.4 bits, 0.00101265% 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
6951319	29265052991	11	34.768	2105 5 × 421	-	5	421	4.793e-10	8.747e-6	1.353e-5
6951319	52955148143	11	35.624	3809 13 × 293	2008-09-08	13	293	1.201e-9	8.934e-6	9.532e-6

1 Composite Factors:

P-1 results:
No P-1 results for M6951319

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	52955148143	35.624	11	5.42894e-10	7.335	2.62715e-9

ECM factoring results:
No ECM results for M6951319

Lucas-Lehmer results:
No L-L results for M6951319

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Oliver Kruse

GTX-7

29265052991

52955148143

84046E036223C0__

no

2019-02-08

arnaud

stm-11-010

29265052991

52955148143

84046E036223C067

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

10²

10⁰

10¹

10²

10³

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-04-26T21:34:10+00:00