M4349 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	6,832.3563	80.5970%	-	-	-	-	6,832.3563	80.5970%	13.0970%
PrimeNet	2⁴⁰	0.0000	67.5000%	500	10000	0.0000	2.4438%	0.0000	68.2942%	0.7942%
GPU72	2⁴⁴	0.0005	70.4545%	500	10000	0.0000	0.9749%	0.0005	70.7426%	0.2880%
Difference	+23	+6,832.3558	+10.1425%	-500	-10000	0.0000	-0.9749%	+6,832.3558	+9.8544%	+9.8544%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6,832.3563

80.5970%

6,832.3563

80.5970%

13.0970%

PrimeNet

2⁴⁰

0.0000

67.5000%

500

10000

0.0000

2.4438%

0.0000

68.2942%

0.7942%

GPU72

2⁴⁴

0.0005

70.4545%

500

10000

0.0000

0.9749%

0.0005

70.7426%

0.2880%

Difference

+23

+6,832.3558

+10.1425%

-500

-10000

0.0000

-0.9749%

+6,832.3558

+9.8544%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4349	12100966474679	14	43.460	1391235511 17 × 81837383	1999-04-02	17	81837383	0.0003	0.0004	0.0007
4349	183495251103546507760826263409	30	97.212	21096257887278283256015896 2³ × 7 × 61 × 6175719522036968166281	-	61	6175719522036968166281	7.693e+12	2.965e+10	5.538e+10
4349	35797232484163710163467490373510908687	38	124.751	4115570531635285141810472565361107 3 × 769 × 1783949081766486840836789148401	2009-04-28	769	1783949081766486840836789148401	4.034e+13	8.566e+18	1.600e+19
4349	47571370031120172757491816499652518228991	41	135.127	5469230861246283370601496493406819755 5 × 79 × 12487 × 1071685065707 × 1034674795009435141	2020-09-30	1071685065707	1034674795009435141	3.832e+13	4,968,023	9,278,716
4349	hide decimal representation P1189 click to show decimal representation	1,189	3,948.450		2020-09-30

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4349

12100966474679

43.460

1391235511
17 × 81837383

1999-04-02

81837383

0.0003

0.0004

0.0007

4349

183495251103546507760826263409

97.212

21096257887278283256015896
2³ × 7 × 61 × 6175719522036968166281

6175719522036968166281

7.693e+12

2.965e+10

5.538e+10

4349

35797232484163710163467490373510908687

124.751

4115570531635285141810472565361107
3 × 769 × 1783949081766486840836789148401

2009-04-28

769

1783949081766486840836789148401

4.034e+13

8.566e+18

1.600e+19

4349

47571370031120172757491816499652518228991

135.127

5469230861246283370601496493406819755
5 × 79 × 12487 × 1071685065707 × 1034674795009435141

2020-09-30

1071685065707

1034674795009435141

3.832e+13

4,968,023

9,278,716

4349

P1189

click to show decimal representation

1,189

3,948.450

2020-09-30

exponent	prime factors	composite factor	digits	bits*
4349	12100966474679 183495251103546507760826263409	2220469881866821068412847502820602982720711	43	140.672
4349	12100966474679 35797232484163710163467490373510908687	43318111017715511347232031979976766965827626663647 3	51	168.211
4349	12100966474679 47571370031120172757491816499652518228991	57565955390113450745462720109399209914195800572521 8889	54	178.587
4349	183495251103546507760826263409 35797232484163710163467490373510908687	65686221634936519327742778113244759469013726376597 88717830408333983	67	221.963
4349	183495251103546507760826263409 47571370031120172757491816499652518228991	87291204892001231474198458913485610105598186564333 63375497480746290319	70	232.339
4349	35797232484163710163467490373510908687 47571370031120172757491816499652518228991	17029233925941870559063450640645194623811780233888 86011433875706048260357144817	79	259.878
4349	12100966474679 183495251103546507760826263409 35797232484163710163467490373510908687	79486676585270123199339027266753315602962233640848 085113360213806665325144716457	80	265.423
4349	12100966474679 183495251103546507760826263409 47571370031120172757491816499652518228991	10563079439324424209576579835055365879715359845918 9971489672741314282439516496332601	84	275.799
4349	12100966474679 35797232484163710163467490373510908687 47571370031120172757491816499652518228991	20607018882728882434378898315080540485694948184611 317366449964188536679212239465662366588743	92	303.339
4349	183495251103546507760826263409 35797232484163710163467490373510908687 47571370031120172757491816499652518228991	31247835553417366525183239982605871030381063098691 54608021605588758621945593592758886248824554939540 01101153	108	357.090
4349	12100966474679 183495251103546507760826263409 35797232484163710163467490373510908687 47571370031120172757491816499652518228991	37812901043818606879138265560680940844239846643137 36942279321667606578563683582230554971208884499429 664303606302492204887	121	400.550

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-04-02T00:00:00	ANONYMOUS	v4_computers	?	?	12100966474679	43.460	14	6.12950e-5	6.18323e-7	0.000
2009-10-25T00:00:00	Carsten Kossendey	v4_computers	?	?	12100966474679	43.460	14	6.12950e-5	6.18323e-7	0.000

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1999-04-02T00:00:00

ANONYMOUS

v4_computers

12100966474679

43.460

6.12950e-5

6.18323e-7

0.000

2009-10-25T00:00:00

Carsten Kossendey

v4_computers

12100966474679

43.460

6.12950e-5

6.18323e-7

0.000

ECM factoring results:

Old Calculation Method

Total ECM effort:	20.527 GHz-days
Estimated T-Level:	39.078

Digits	B1	Curves	Complete	FacMiss
20	11000	3937 / 100	39.370	0.000%
25	50000	3937 / 280	14.061	0.000%
30	250000	3937 / 640	6.152	0.212%
35	1000000	3833 / 1580	2.426	8.833%
40	3000000	3833 / 4700	0.816	44.237%
45	11000000	115 / 9700	0.012	98.821%

New Calculation Method

Total ECM effort:	20.527 GHz-days
Estimated T-Level:	39.078

Digits	B1	Complete	FacMiss
20	11000	783.000	0.000%
25	50000	189.010	0.000%
30	250000	37.163	0.000%
35	1000000	5.916	0.269%
40	3000000	0.784	45.642%
45	11000000	0.090	91.396%
50	44000000	0.009	99.078%

ECM Summary

B1	B2	factor	curves	GHz-days
		35797232484163710163467490373510908687	1	0.00000e+0
3000000	300000000		3,718	14.14
11000000	11000000		104	0.984
11000000	1100000000		114	1.590
110000000	900514153782	47571370031120172757491816499652518228991	1	3.809

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

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-28T20:08:00	unconnected	Manual testing			35797232484163710163467490373510908687	124.751		1		1	-
2009-10-13T13:43:00	Carsten Kossendey	durandal	3000000	300000000						1	0.004
2010-03-24T01:11:00	James Hintz	NEW_OMFG	3000000	300000000						100	0.380
2010-04-06T20:53:00	James Hintz	NEW_OMFG	3000000	300000000						11	0.042
2010-04-12T23:30:00	James Hintz	NEW_OMFG	3000000	300000000						11	0.042
2010-04-13T06:22:00	James Hintz	NEW_OMFG	3000000	300000000						11	0.042
2010-04-13T13:14:00	James Hintz	NEW_OMFG	3000000	300000000						11	0.042
2010-04-20T20:15:00	James Hintz	NEW_OMFG	3000000	300000000						11	0.042
2010-05-30T17:50:00	James Hintz	18_051310	3000000	300000000						100	0.380
2010-05-30T22:16:00	James Hintz	17_051310	3000000	300000000						100	0.380
2010-05-30T22:32:00	James Hintz	17_051310	3000000	300000000						100	0.380
2010-05-31T12:39:00	James Hintz	12_052810	3000000	300000000						100	0.380
2010-05-31T23:04:00	James Hintz	18_051310	3000000	300000000						100	0.380
2010-06-01T18:42:00	James Hintz	13_052010	3000000	300000000						100	0.380
2010-06-02T07:39:00	James Hintz	12_052810	3000000	300000000						100	0.380
2010-06-02T22:24:00	James Hintz	18_051310	3000000	300000000						100	0.380
2010-06-03T07:06:00	James Hintz	17_051310	3000000	300000000						100	0.380
2010-06-03T07:38:00	James Hintz	17_051310	3000000	300000000						100	0.380
2010-06-05T01:58:00	James Hintz	12_052810	3000000	300000000						100	0.380
2010-06-09T01:55:00	James Hintz	12_052810	3000000	300000000						100	0.380
2010-08-20T06:29:00	James Hintz	NEW_OMFG	3000000	300000000						2362	8.986
2011-01-02T07:17:00	James Hintz	OMFG	11000000	1100000000						3	0.042
2011-01-29T17:38:00	James Hintz	OMFG	11000000	1100000000						11	0.153
2016-10-03T21:38:23	kkmrkkblmbrbk	kel1	11000000	11000000						104	0.984
2020-03-24T15:34:08	James Hintz	work_lappy_5_16_2019	11000000	1100000000						100	1.395
2020-09-30T20:18:26	Ryan Propper	Manual testing	110000000	900514153782	47571370031120172757491816499652518228991	135.127	1	2	8843279669338607707	1	3.809