M13602107 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	2⁶⁸	4.3820	64.7059%	300000	206783346	7.4304	8.1386%	11.8124	67.5783%	2.8725%
PrimeNet	2⁶⁵	0.5364	63.0769%	60000	1700000	0.0961	3.8919%	0.6324	64.5139%	1.4370%
GPU72	2⁶⁹	8.7771	65.2174%	90000	2200000	0.1319	2.7855%	8.9089	66.1863%	0.9689%
Difference	-1	-4.3950	-0.5115%	+210000	+204583346	+7.2985	+5.3531%	+2.9035	+1.3921%	+1.3921%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁸

4.3820

64.7059%

300000

206783346

7.4304

8.1386%

11.8124

67.5783%

2.8725%

PrimeNet

2⁶⁵

0.5364

63.0769%

60000

1700000

0.0961

3.8919%

0.6324

64.5139%

1.4370%

GPU72

2⁶⁹

8.7771

65.2174%

90000

2200000

0.1319

2.7855%

8.9089

66.1863%

0.9689%

Difference

-1

-4.3950

-0.5115%

+210000

+204583346

+7.2985

+5.3531%

+2.9035

+1.3921%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13602107	52476928807	11	35.611	1929 3 × 643	-	3	643	4.770e-10	2.436e-5	4.200e-5
13602107	687423283567	12	39.322	25269 3 × 8423	2008-09-08	3	8423	7.912e-9	0.0003	0.0006
13602107	26125273463043583	17	54.536	960339213 3³ × 35568119	2015-02-13	27	35568119	0.0003	1.2467	2.3285
13602107	49791442635763053503	20	65.433	1830284184493 89 × 93253 × 220529	2018-11-14	93253	220529	1.0302	0.0645	0.1221

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

13602107

52476928807

35.611

1929
3 × 643

643

4.770e-10

2.436e-5

4.200e-5

13602107

687423283567

39.322

25269
3 × 8423

2008-09-08

8423

7.912e-9

0.0003

0.0006

13602107

26125273463043583

54.536

960339213
3³ × 35568119

2015-02-13

35568119

0.0003

1.2467

2.3285

13602107

49791442635763053503

65.433

1830284184493
89 × 93253 × 220529

2018-11-14

93253

220529

1.0302

0.0645

0.1221

exponent	prime factors	composite factor	digits	bits*
13602107	52476928807 687423283567	36073862712019632014569	23	74.933
13602107	52476928807 26125273463043583	1370974115583544450629195481	28	90.147
13602107	687423283567 26125273463043583	17959121268051229051488700561	29	93.859
13602107	52476928807 49791442635763053503	2612901990394762190797862960921	31	101.043
13602107	687423283567 49791442635763053503	34227796990214159423614561685201	32	104.755
13602107	26125273463043583 49791442635763053503	1300815054978757336882169552049821249	37	119.969
13602107	52476928807 687423283567 26125273463043583	942439528219803910563822676704537960727	39	129.470
13602107	52476928807 687423283567 49791442635763053503	1796169665875917319756369508162802822485207	43	140.366
13602107	52476928807 26125273463043583 49791442635763053503	68262779031194039664894526930621550600848819943	47	155.580
13602107	687423283567 26125273463043583 49791442635763053503	894210556406884999952833387644917638562989115183	48	159.291
13602107	52476928807 687423283567 26125273463043583 49791442635763053503	46925423707031961867161036041374976314248537582574 213776681	59	194.902

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-07-17T16:54:30	nordi	sweet16_30.8b14	300000	300000		-	skipped known factor: 52476928807 skipped known factor: 687423283567 skipped known factor: 49791442635763053503	-	-	0.193	-	-	1.928%
2022-07-29T02:26:56	nordi	sweet16_30.8b14	300000	206783346		-	skipped known factor: 52476928807 skipped known factor: 687423283567 skipped known factor: 26125273463043583 skipped known factor: 49791442635763053503	-	-	7.430	-	-	8.139%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T09:35:00	Will Edgington	Manual testing	?	?	687423283567	39.322	12	2.52781e-9	12.81	5.36371e-9
2014-11-28T12:28:00	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	26125273463043583	54.536	17	0.000	12.81	0.000
2022-08-10T19:28:54	LordJulius	Manual testing	2¹	2⁶⁴	26125273463043583	54.536	17	0.000	12.81	0.001
2022-08-10T19:28:54	LordJulius	Manual testing	2¹	2⁶⁴	52476928807	35.611	11	4.77024e-10	12.81	1.01219e-9
2022-08-10T19:28:54	LordJulius	Manual testing	2¹	2⁶⁴	687423283567	39.322	12	7.91209e-9	12.81	1.67885e-8
2022-08-10T19:28:54	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.275	-	-
2018-11-14T13:10:33	TJAOI	Manual testing	2⁶⁵	2⁶⁶*	49791442635763053503	65.433	20	0.494	12.27	1.004
2022-08-10T19:28:54	LordJulius	Manual testing	2⁶⁵	2⁶⁶	49791442635763053503	65.433	20	0.494	12.27	1.004
2022-08-10T19:28:54	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	1.099	-	-
2022-08-10T19:28:54	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	2.198	-	-

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 = 300000, B2 = 206783346 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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