M25061521 Mersenne number exponent details

Residue

Status

L-L

24ED96911E283677

double-checked

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	2⁷¹	19.0762	64.7887%	370000	370000	0.4598	1.6203%	19.5359	65.3593%	0.5705%
PrimeNet	2⁶⁶	0.5893	62.1212%	110000	4000000	0.4000	4.9792%	0.9893	64.0073%	1.8860%
GPU72	2⁷⁰	9.5346	64.2857%	180000	5000000	0.5500	3.6615%	10.0845	65.5934%	1.3077%
Difference	+1	+9.5416	+0.5030%	+190000	-4630000	-0.0902	-2.0412%	+9.4514	-0.2341%	-0.2341%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

19.0762

64.7887%

370000

0.4598

1.6203%

19.5359

65.3593%

0.5705%

PrimeNet

2⁶⁶

0.5893

62.1212%

110000

4000000

0.4000

4.9792%

0.9893

64.0073%

1.8860%

GPU72

2⁷⁰

9.5346

64.2857%

180000

5000000

0.5500

3.6615%

10.0845

65.5934%

1.3077%

Difference

+9.5416

+0.5030%

+190000

-4630000

-0.0902

-2.0412%

+9.4514

-0.2341%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-07-26T00:00:00	Duane Bong	v4_computers	370000	370000		-		-	-	0.460	-	-	1.620%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-12T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-08-24T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-11-28T00:00:00	markr	v4_computers	2¹	2⁶²		-	-	0.025	-	-
2004-04-09T00:00:00	Helgen	v4_computers	2¹	2⁶⁷		-	-	1.186	-	-
2015-12-28T01:29:24	VictordeHollander	Manual testing	2⁶⁷	2⁶⁸		-	-	1.193	-	-
2017-05-15T00:51:50	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	2.385	-	-
2017-05-15T00:51:50	ramgeis	Manual testing	2⁶⁹	2⁷⁰		-	-	4.771	-	-
2021-06-01T18:55:44	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	9.54	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-08-20T00:00:00	Duane Bong	v4_computers	24ED96911E283677	21.48
2011-03-01T16:56:00	mes4646	Number3a	24ED96911E283677	21.48

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 = 370000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶²

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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