M3897389 Mersenne number exponent details

Residue

Status

L-L

CA0DD16086A97513

double-checked

PRP

E612C5963D80BE09

double-checked

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷¹	122.6663	69.0141%	15000000	750000000	9.9547	9.7161%	132.6210	78.7302%	15.3969%
PrimeNet	2⁶⁰	0.0394	63.3333%	17000	360000	0.0065	3.2473%	0.0459	66.5806%	3.2473%
GPU72	2⁶⁴	0.9133	65.6250%	24000	500000	0.0090	2.2331%	0.9223	67.8581%	2.2331%
Difference	+7	+121.7530	+3.3891%	+14976000	+749500000	+9.9457	+7.4831%	+131.6987	+10.8721%	+10.8721%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷¹

122.6663

69.0141%

15000000

750000000

9.9547

9.7161%

132.6210

78.7302%

15.3969%

PrimeNet

2⁶⁰

0.0394

63.3333%

17000

360000

0.0065

3.2473%

0.0459

66.5806%

3.2473%

GPU72

2⁶⁴

0.9133

65.6250%

24000

500000

0.0090

2.2331%

0.9223

67.8581%

2.2331%

Difference

+121.7530

+3.3891%

+14976000

+749500000

+9.9457

+7.4831%

+131.6987

+10.8721%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
3897389	29328238810511654808943052108623	32	104.532	3762549595448600949115299 3³ × 11 × 58211 × 184711 × 293729 × 4011263	293729	4011263	2021-03-11	3.329e+10	0.0897	0.1081
3897389	1540545753966357318407650279153419100591841	43	140.144	197638182122230718874565802791743280 2⁴ × 5 × 19 × 37² × 131 × 151 × 757 × 2804239 × 3784141 × 597719407	3784141	597719407	2021-03-11	3.929e+10	6.5364	11.000

GHz-days

exponent

factor

digits

bits*

min B1

min B2

date found

min. TF

min. P-1

normal P-1

3897389

29328238810511654808943052108623

104.532

3762549595448600949115299
3³ × 11 × 58211 × 184711 × 293729 × 4011263

293729

4011263

2021-03-11

3.329e+10

0.0897

0.1081

3897389

1540545753966357318407650279153419100591841

140.144

197638182122230718874565802791743280
2⁴ × 5 × 19 × 37² × 131 × 151 × 757 × 2804239 × 3784141 × 597719407

3784141

597719407

2021-03-11

3.929e+10

6.5364

11.000

exponent	prime factors	composite factor	digits	bits*
3897389	29328238810511654808943052108623 1540545753966357318407650279153419100591841	45181493770845059783464463031892083814410916646456 447555354707802319544943	74	244.676

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-08-01T05:06:00	Carsten Kossendey	leela	20000	275000		-		-	-	0.006	-	-	0.638%
2011-10-10T01:24:00	Squeeky_Squirrel	T7500_2200	70000	1172500		-		-	-	0.024	-	-	1.442%
2014-11-01T00:51:00	Jocelyn Larouche	Manual testing	86468	86468		-		-	-	0.016	-	-	0.529%
2016-04-03T12:40:48	Jocelyn Larouche	Manual testing	250905	4516290	6	-		-	-	0.087	-	-	2.621%
2021-03-11T12:06:29	axn	Manual testing	15000000	750000000			29328238810511654808943052108623 1540545753966357318407650279153419100591841	74	244.676	9.95	0.972	19.91	9.716%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-06-28T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.020	-	-
2009-02-25T11:10:00	S485122	USB-A	2⁶⁰	2⁶¹		-	-	0.039	-	-
2011-02-05T15:53:00	markr	ut	2⁶¹	2⁶²		-	-	0.079	-	-
2012-04-20T00:56:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.410	-	-
2016-02-23T16:29:43	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.252	-	-
2015-01-20T20:48:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.504	-	-
2015-01-20T20:48:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	0.959	-	-
2016-02-19T13:06:27	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	1.917	-	-
2016-12-01T04:53:56	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	3.835	-	-
2018-07-23T16:23:27	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	7.669	-	-
2020-07-31T12:41:01	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	15.34	-	-
2021-02-17T14:29:48	axn	Manual testing	2⁶⁹	2⁷⁰		-	-	30.68	-	-
2021-02-17T14:29:49	axn	Manual testing	2⁷⁰	2⁷¹		-	-	61.36	-	-

ECM factoring results:

Total ECM effort:	2.147 GHz-days
Estimated T-Level:	0.600

Digits	B1	Curves	Complete	FacMiss
20	11000	12 / 100	0.120	88.638%
25	50000	12 / 280	0.043	95.797%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		12	2.147

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-10-08T06:30:00	Aare Vesi	t0	50000	5000000						3	0.537
2012-10-04T22:26:00	oodaira	Linux01	50000	5000000						3	0.537
2016-02-06T02:23:12	Bruce	Desk7	50000	5000000						3	0.537
2017-11-13T03:09:51	bayanne	iMac	50000	5000000						3	0.537

date	userid	compid	res64	spent (GHz-days)
1998-06-28T00:00:00	ANONYMOUS	v4_computers	CA0DD16086A97513	0.486
1999-12-01T00:00:00	ANONYMOUS	v4_computers	CA0DD16086A97513	0.486

date

userid

compid

res64

spent (GHz-days)

1998-06-28T00:00:00

ANONYMOUS

v4_computers

CA0DD16086A97513

0.486

1999-12-01T00:00:00

ANONYMOUS

v4_computers

CA0DD16086A97513

0.486

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 = 15000000, B2 = 750000000 (stage 2)

B1 = 15000000 (stage 1)

B1 = 250905, B2 = 4516290 (stage 2)

B1 = 250905 (stage 1)

B1 = 70000, B2 = 1172500 (stage 2)

B1 = 86468 (stage 1)

B1 = 70000 (stage 1)

B1 = 20000, B2 = 275000 (stage 2)

B1 = 20000 (stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

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