M24850297 Mersenne number exponent details

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	1.1957	62.6866%	-	-	-	-	1.1957	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5943	62.1212%	110000	4000000	0.3786	4.9735%	0.9729	64.0051%	1.8839%
GPU72	2⁷⁰	9.6156	64.2857%	180000	5000000	0.5206	3.6573%	10.1362	65.5919%	1.3062%
Difference	-3	-8.4199	-1.5991%	-180000	-5000000	-0.5206	-3.6573%	-8.9404	-2.9053%	-2.9053%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

1.1957

62.6866%

1.1957

62.6866%

0.0000%

PrimeNet

2⁶⁶

0.5943

62.1212%

110000

4000000

0.3786

4.9735%

0.9729

64.0051%

1.8839%

GPU72

2⁷⁰

9.6156

64.2857%

180000

5000000

0.5206

3.6573%

10.1362

65.5919%

1.3062%

Difference

-3

-8.4199

-1.5991%

-180000

-5000000

-0.5206

-3.6573%

-8.9404

-2.9053%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
24850297	149101783	9	27.152	3 3	-	1	3	7.200e-13	1.304e-6	2.394e-6
24850297	682033895774089	15	49.277	13722852 2² × 3 × 11² × 13 × 727	2014-04-04	121	727	3.966e-6	0.0002	0.0003
24850297	446629305995862313	18	58.632	8986397748 2² × 3 × 379 × 1975901	2015-09-21	379	1975901	0.0027	0.1270	0.2365

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

24850297

149101783

27.152

3
3

7.200e-13

1.304e-6

2.394e-6

24850297

682033895774089

49.277

13722852
2² × 3 × 11² × 13 × 727

2014-04-04

121

727

3.966e-6

0.0002

0.0003

24850297

446629305995862313

58.632

8986397748
2² × 3 × 379 × 1975901

2015-09-21

379

1975901

0.0027

0.1270

0.2365

exponent	prime factors	composite factor	digits	bits*
24850297	149101783 682033895774089	101692469926352835100687	24	76.429
24850297	149101783 446629305995862313	66593225864035661490804079	26	85.784
24850297	682033895774089 446629305995862313	304616325535235660068130197007857	33	107.909
24850297	149101783 682033895774089 446629305995862313	45418837268212066241340113850012743709031	41	135.060

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-04-04T19:26:00	pdazzl	Manual testing	2³⁰	2⁵⁶	682033895774089	49.277	15	3.96635e-6	41.66	8.19866e-6
2015-09-21T11:06:00	TJAOI	Manual testing	2⁵⁸	2⁵⁹*	446629305995862313	58.632	18	0.001	41.66	0.002
2022-06-26T07:45:45	LordJulius	Manual testing	2¹	2⁶⁰	149101783	27.152	9	7.19986e-13	41.66	1.48825e-12
2022-06-26T07:45:45	LordJulius	Manual testing	2¹	2⁶⁰	446629305995862313	58.632	18	0.003	41.66	0.006
2022-06-26T07:45:45	LordJulius	Manual testing	2¹	2⁶⁰	682033895774089	49.277	15	3.96636e-6	41.66	8.19867e-6

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁰

2⁵⁹

2⁵⁶

2²⁰

2³⁰

2⁴⁰

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