M303679 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	unknown	50000	50000	0.0005	14.9834%	0.0005	14.9834%	14.9834%
PrimeNet	2⁴⁰	0.0000	52.5000%	3200	90000	0.0001	15.5931%	0.0001	59.9067%	7.4067%
GPU72	2⁴⁴	0.0000	56.8182%	5500	150000	0.0001	11.4122%	0.0001	61.7462%	4.9280%
Difference	-44	0.0000	-56.8182%	+44500	-100000	+0.0004	+3.5712%	+0.0004	-46.7627%	-46.7627%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

50000

0.0005

14.9834%

0.0005

14.9834%

PrimeNet

2⁴⁰

0.0000

52.5000%

3200

90000

0.0001

15.5931%

0.0001

59.9067%

7.4067%

GPU72

2⁴⁴

0.0000

56.8182%

5500

150000

0.0001

11.4122%

0.0001

61.7462%

4.9280%

Difference

-44

0.0000

-56.8182%

+44500

-100000

+0.0004

+3.5712%

+0.0004

-46.7627%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
303679	7079874368196917471	19	62.618	11656838912465 5 × 491 × 14683 × 323381	2014-04-23	14683	323381	4.3775	0.0003	0.0003
303679	11404530661481643114229729	26	83.238	18777279070139264016 2⁴ × 3 × 391193313961234667	2016-05-27	16	391193313961234667	11,443,661	219,763,711	410,457,411
303679	30860264243249836232062377697	29	94.640	50810665609491990279312 2⁴ × 3 × 383 × 2763852567966274493	2021-11-09	383	2763852567966274493	1.410e+10	1.553e+9	2.900e+9

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

303679

7079874368196917471

62.618

11656838912465
5 × 491 × 14683 × 323381

2014-04-23

14683

323381

4.3775

0.0003

303679

11404530661481643114229729

83.238

18777279070139264016
2⁴ × 3 × 391193313961234667

2016-05-27

391193313961234667

11,443,661

219,763,711

410,457,411

303679

30860264243249836232062377697

94.640

50810665609491990279312
2⁴ × 3 × 383 × 2763852567966274493

2021-11-09

383

2763852567966274493

1.410e+10

1.553e+9

2.900e+9

exponent	prime factors	composite factor	digits	bits*
303679	7079874368196917471 11404530661481643114229729	80742644311539721322759676685664954347695359	44	145.856
303679	7079874368196917471 30860264243249836232062377697	218486793811568357748748614206107063026340044287	48	157.258
303679	11404530661481643114229729 30860264243249836232062377697	35194682978356835336785529995713715958098268642395 4113	54	177.878
303679	7079874368196917471 11404530661481643114229729 30860264243249836232062377697	24917393391528490522324929708003192731392307997295 44836142266661752008223	73	240.496

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06T16:51:15	Lisander Viaene	Manual testing	50000	50000		-		-	-	0.001	-	-	9.773%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-02-06T16:51:15

Lisander Viaene

Manual testing

50000

0.001

-

-

9.773%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-04-23T20:47:50	nordi	sweet16	10000000	1010000000	2	7			-	-	0.694
2021-04-28T13:36:04	nordi	sweet16	10000000	1010000000	6	5			-	-	0.694

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-04-23T20:47:50

nordi

sweet16

10000000

1010000000

0.694

2021-04-28T13:36:04

nordi

sweet16

10000000

1010000000

0.694

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.742 GHz-days
Estimated T-Level:	27.203

Digits	B1	Curves	Complete	FacMiss
20	11000	573 / 100	5.730	0.315%
25	50000	573 / 280	2.046	12.872%
30	250000	282 / 640	0.441	64.341%

New Calculation Method

Total ECM effort:	13.742 GHz-days
Estimated T-Level:	27.203

Digits	B1	Complete	FacMiss
20	11000	32.887	0.000%
25	50000	4.309	1.344%
30	250000	0.427	65.239%
35	1000000	0.033	96.711%
40	3000000	0.002	99.783%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		207	1.579
50000	5000000	11404530661481643114229729	84	0.641
250000	25000000		142	5.417
250000	35500000		121	5.265
250000	36750000	30860264243249836232062377697	19	0.839

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2013-12-31T17:48:00	Richard B. Woods	Puttputt	50000	5000000						10	0.076
2014-09-19T12:42:00	TJAOI	Manual testing	50000	5000000						40	0.305
2015-02-20T13:24:00	TJAOI	Manual testing	50000	5000000						50	0.382
2015-10-30T13:19:13	TJAOI	Manual testing	50000	5000000						90	0.687
2016-04-04T16:42:39	Richard B. Woods	Puttputt	50000	5000000						10	0.076
2016-05-27T13:48:07	TJAOI	Manual testing	50000	5000000						7	0.053
2016-05-27T13:48:07	TJAOI	Manual testing	50000	5000000	11404530661481643114229729	83.238	84	2		84	0.641
2018-03-02T13:47:09	TJAOI	Manual testing	250000	25000000						42	1.602
2019-05-17T12:20:14	TJAOI	Manual testing	250000	25000000						100	3.815
2021-11-09T21:09:16	nordi	sweet16	250000	36750000	30860264243249836232062377697	94.640	19	2	8503127979824942	19	0.839
2021-11-13T19:37:13	nordi	sweet16	250000	35500000						121	5.265

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:08:09

kkmrkkblmbrbk

Manual testing

FB74964B727FCC__

2017-09-27T12:45:47

csaba

office

FB74964B727FCC__

2017-10-31T07:45:37

ATH

ec2-1xd

7079874368196917471

11404530661481643114229729

FB74964B727FCC__

2020-04-18T07:19:48

Oliver Kruse

AddPrpType5

7079874368196917471

11404530661481643114229729

DFF5B30B41F54A__

2021-11-10T05:38:33

SRJ2877

LTOS

7079874368196917471

11404530661481643114229729

30860264243249836232062377697

DFF5B30B41F54A6B

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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

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