M302983 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	98.0712	71.6418%	50000	50000	0.0005	0.3997%	98.0718	71.7551%	0.1134%
PrimeNet	2⁴⁰	0.0000	52.5000%	3200	90000	0.0001	15.5883%	0.0001	59.9044%	7.4044%
GPU72	2⁴⁴	0.0000	56.8182%	5500	150000	0.0001	11.4084%	0.0001	61.7445%	4.9264%
Difference	+23	+98.0712	+14.8236%	+44500	-100000	+0.0004	-11.0087%	+98.0716	+10.0106%	+10.0106%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

98.0712

71.6418%

50000

0.0005

0.3997%

98.0718

71.7551%

0.1134%

PrimeNet

2⁴⁰

0.0000

52.5000%

3200

90000

0.0001

15.5883%

0.0001

59.9044%

7.4044%

GPU72

2⁴⁴

0.0000

56.8182%

5500

150000

0.0001

11.4084%

0.0001

61.7445%

4.9264%

Difference

+23

+98.0712

+14.8236%

+44500

-100000

+0.0004

-11.0087%

+98.0716

+10.0106%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
302983	23231504678974583	17	54.367	38337967277 2251 × 17031527	2014-04-23	2251	17031527	0.0104	0.0096	0.0179
302983	239114626735484934813761927	27	87.628	394600731287704153061 19 × 631 × 3089479 × 10653435431	2021-11-06	3089479	10653435431	162,135,484	6.0150	11.178
302983	3507652753648623901509994297	28	91.503	5788530633152064474756 2² × 3³ × 47 × 1217 × 23993 × 39054545701	2015-02-13	23993	39054545701	1.711e+9	21.940	40.978

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

302983

23231504678974583

54.367

38337967277
2251 × 17031527

2014-04-23

2251

17031527

0.0104

0.0096

0.0179

302983

239114626735484934813761927

87.628

394600731287704153061
19 × 631 × 3089479 × 10653435431

2021-11-06

3089479

10653435431

162,135,484

6.0150

11.178

302983

3507652753648623901509994297

91.503

5788530633152064474756
2² × 3³ × 47 × 1217 × 23993 × 39054545701

2015-02-13

23993

39054545701

1.711e+9

21.940

40.978

exponent	prime factors	composite factor	digits	bits*
302983	23231504678974583 239114626735484934813761927	5554992569816679181992184380104395046101441	43	141.995
302983	23231504678974583 3507652753648623901509994297	81488051358606086479801180602314136137953151	44	145.869
302983	239114626735484934813761927 3507652753648623901509994297	83873107890638659649079379503814904486045256688573 0319	54	179.130
302983	23231504678974583 239114626735484934813761927 3507652753648623901509994297	19484984984015120391526197401729920013286500075390 186241288127993481977	71	233.497

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06T16:51:09	Lisander Viaene	Manual testing	50000	50000		-		-	-	0.001	-	-	0.400%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-02-06T16:51:09

Lisander Viaene

Manual testing

50000

0.001

-

-

0.400%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-24T08:28:35	nordi	sweet16	10000000	1010000000	2	7			-	-	0.694
2021-04-28T12:09:32	nordi	sweet16	10000000	1010000000	6	5			-	-	0.694

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-04-24T08:28:35

nordi

sweet16

10000000

1010000000

0.694

2021-04-28T12:09:32

nordi

sweet16

10000000

1010000000

0.694

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-03-05T00:00:00	ANONYMOUS	v4_computers	?	?	23231504678974583	54.367	17	0.002	0.004	0.005
2003-08-25T00:00:00	ANONYMOUS	v4_computers	?	?	23231504678974583	54.367	17	0.002	0.004	0.005
2000-04-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.008	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.795 GHz-days
Estimated T-Level:	27.070

Digits	B1	Curves	Complete	FacMiss
20	11000	638 / 100	6.380	0.164%
25	50000	638 / 280	2.279	10.201%
30	250000	265 / 640	0.414	66.075%

New Calculation Method

Total ECM effort:	13.795 GHz-days
Estimated T-Level:	27.070

Digits	B1	Complete	FacMiss
20	11000	34.116	0.000%
25	50000	4.343	1.299%
30	250000	0.420	65.722%
35	1000000	0.032	96.824%
40	3000000	0.002	99.793%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		370	2.823
50000	5000000	3507652753648623901509994297	3	0.023
250000	25000000		125	4.768
250000	36750000		19	0.839
250000	36750000	239114626735484934813761927	121	5.342

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2013-12-29T10:45:00	Richard B. Woods	Puttputt	50000	5000000						10	0.076
2014-09-15T12:19:00	TJAOI	Manual testing	50000	5000000						40	0.305
2015-02-13T11:25:00	TJAOI	Manual testing	50000	5000000						47	0.359
2015-02-13T11:25:00	TJAOI	Manual testing	50000	5000000	3507652753648623901509994297	91.503	3	2		3	0.023
2015-12-18T14:12:03	TJAOI	Manual testing	50000	5000000						90	0.687
2016-03-15T04:31:36	Richard B. Woods	Puttputt	50000	5000000						10	0.076
2016-05-20T14:52:02	TJAOI	Manual testing	50000	5000000						173	1.320
2018-01-19T13:22:49	TJAOI	Manual testing	250000	25000000						25	0.954
2019-03-15T12:26:45	TJAOI	Manual testing	250000	25000000						100	3.815
2021-11-06T02:07:24	nordi	sweet16	250000	36750000	239114626735484934813761927	87.628	121	2	1467747107995716	121	5.342
2021-11-07T23:57:07	nordi	sweet16	250000	36750000						19	0.839

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T15:15:55

Oliver Kruse

Doppelherz

23231504678974583

3507652753648623901509994297

1E9C8CEF0BE54D95

2017-09-24T17:45:38

Oliver Kruse

Manual testing

23231504678974583

3507652753648623901509994297

1E9C8CEF0BE54D95

2017-10-12T22:07:08

Oliver Kruse

GTX-1

1E9C8CEF0BE54D__

2017-12-11T05:51:22

ATH

xps

23231504678974583

3507652753648623901509994297

1E9C8CEF0BE54D__

2020-04-17T22:21:35

Oliver Kruse

AddPrpType5

23231504678974583

3507652753648623901509994297

F38B8299086F4E__

2021-11-06T07:23:44

SRJ2877

LTOS

23231504678974583

239114626735484934813761927

3507652753648623901509994297

F38B8299086F4EC4

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 = 50000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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