M11956333 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

98BD1395EDA22842

verified PRP

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	2.4852	64.1791%	400000	12000000	0.5761	5.9365%	3.0613	66.3056%	2.1265%
PrimeNet	2⁶⁴	0.2977	62.5000%	55000	1500000	0.0747	4.1116%	0.3723	64.0418%	1.5418%
GPU72	2⁶⁸	4.9852	64.7059%	80000	2000000	0.1031	2.9395%	5.0883	65.7433%	1.0375%
Difference	-1	-2.5000	-0.5268%	+320000	+10000000	+0.4731	+2.9971%	-2.0270	+0.5623%	+0.5623%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

2.4852

64.1791%

400000

12000000

0.5761

5.9365%

3.0613

66.3056%

2.1265%

PrimeNet

2⁶⁴

0.2977

62.5000%

55000

1500000

0.0747

4.1116%

0.3723

64.0418%

1.5418%

GPU72

2⁶⁸

4.9852

64.7059%

80000

2000000

0.1031

2.9395%

5.0883

65.7433%

1.0375%

Difference

-1

-2.5000

-0.5268%

+320000

+10000000

+0.4731

+2.9971%

-2.0270

+0.5623%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
11956333	1051105146697	13	39.935	43956 2² × 3³ × 11 × 37	-	27	37	9.276e-9	1.538e-5	3.068e-5
11956333	5282372251717077799	19	62.196	220902690303 3² × 24544743367	2016-07-08	9	24544743367	0.0621	746.53	1,394.3
11956333	5727098959758658634353	22	72.278	239500646216472 2³ × 3 × 19 × 443 × 823 × 1440583	2021-11-21	823	1440583	121.75	0.0442	0.0818
11956333	6727636593505203806831	22	72.511	281341971384755 5 × 17 × 19² × 47 × 67 × 751 × 3877	2021-11-21	751	3877	140.85	0.0005	0.0009

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

11956333

1051105146697

39.935

43956
2² × 3³ × 11 × 37

9.276e-9

1.538e-5

3.068e-5

11956333

5282372251717077799

62.196

220902690303
3² × 24544743367

2016-07-08

24544743367

0.0621

746.53

1,394.3

11956333

5727098959758658634353

72.278

239500646216472
2³ × 3 × 19 × 443 × 823 × 1440583

2021-11-21

823

1440583

121.75

0.0442

0.0818

11956333

6727636593505203806831

72.511

281341971384755
5 × 17 × 19² × 47 × 67 × 751 × 3877

2021-11-21

751

3877

140.85

0.0005

0.0009

exponent	prime factors	composite factor	digits	bits*
11956333	1051105146697 5282372251717077799	5552328660549241270058056879903	31	102.131
11956333	1051105146697 5727098959758658634353	6019783192245360983577555748682041	34	112.213
11956333	1051105146697 6727636593505203806831	7071453448540392604811981105687207	34	112.446
11956333	5282372251717077799 5727098959758658634353	30252668627866879543806771043317195029047	41	134.474
11956333	5282372251717077799 6727636593505203806831	35537880861168294254246207887429794644969	41	134.706
11956333	5727098959758658634353 6727636593505203806831	38529840536297938473636584098418343272665343	44	144.789
11956333	1051105146697 5282372251717077799 5727098959758658634353	31798735696069746125080644515307812022509006111107 759	53	174.409
11956333	1051105146697 5282372251717077799 6727636593505203806831	37354049475878808622914722556672852762588725778017 393	53	174.642
11956333	1051105146697 5727098959758658634353 6727636593505203806831	40498913689117461772630461995833990191290608424202 822071	56	184.724
11956333	5282372251717077799 5727098959758658634353 6727636593505203806831	20352896051202408170923269222882565074409215964778 6414022020057	63	206.985
11956333	1051105146697 5282372251717077799 5727098959758658634353 6727636593505203806831	21393033789607899263737974346448803751740547667267 4082561938969801261301729	75	246.920

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-11-21T06:28:35	nordi	sweet16	400000	400000			6727636593505203806831	22	72.511	0.223	9.206	0.447	2.404%
2021-11-21T18:49:00	nordi	sweet16	400000	12000000			5727098959758658634353	22	72.278	0.576	9.206	1.152	5.937%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2016-07-08T13:30:15	TJAOI	Manual testing	2⁶²	2⁶³*	5282372251717077799	62.196	19	0.011	9.53	0.022

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2016-07-08T13:30:15

TJAOI

Manual testing

2⁶²

2⁶³*

5282372251717077799

62.196

0.011

9.53

0.022

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 = 400000, B2 = 12000000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

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