M11 023 153 Mersenne number exponent details

≡

is 2 ^11023153 - 1

has 3318300 decimal digits

takes 3.601 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 LL tests remaining

	Residue	Status
L-L	9697FEF3CAE0543C	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	2.6956	64.1791%	60000	1020000	0.0532	2.6416%	2.7488	65.1254%
Target	2⁶⁸	5.4072	64.7059%	70000	14400000	0.4030	2.7613%	5.8102	65.6804%
Difference	-1	-2.7117	-0.5268%	-10000	-13380000	-0.3498	-0.1196%	-3.0614	-0.5551%

Known prime factors (1 factor, 76.2 bits, 0.00069088% 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
11023153	84242212741554535981697	23	76.157	3821148665066816 2⁶ × 131 × 157 × 47653 × 60919	2014-04-29	47653	60919	1,621.5	0.0229	0.0459

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-01-07	dswanson	v4_computers	60000	1020000		-	MISSED FACTOR!	-	-	0.053	-	-	2.642%
2004-02-23	ANONYMOUS	v4_computers	60000	1020000		-	MISSED FACTOR!	-	-	0.053	-	-	2.642%
2014-04-29	Tha	Riet-Ubuntu	60000	1020000			84242212741554535981697	23	76.157	0.053	7.202	0.106	2.642%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-01-25	Mark Blanke	v4_computers	2¹	2⁶⁴		-	-	0.323	-	-
2013-11-30	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.339	-	-
2013-12-05	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.678	-	-

ECM factoring results:
No ECM results for M11023153

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-11-15	ANONYMOUS	v4_computers	9697FEF3CAE0543C	3.601
2004-04-09	dswanson	v4_computers	9697FEF3CAE0543C	3.601

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-04-23

Deufo

Ryzen2600

84242212741554535981697

9931A9324F210C53

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

B1 = 60000, B2 = 1020000 (P-1 stage 2)

B1 = 60000 (P-1 stage 1)

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 68

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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