M11933863 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

90E6635AE9C3CF__

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	2.4899	64.1791%	1500000	30000000	1.7042	7.8395%	4.1941	66.9873%	2.8082%
PrimeNet	2⁶⁴	0.2983	62.5000%	55000	1500000	0.0747	4.1105%	0.3729	64.0414%	1.5414%
GPU72	2⁶⁸	4.9946	64.7059%	80000	2000000	0.1031	2.9386%	5.0977	65.7431%	1.0372%
Difference	-1	-2.5047	-0.5268%	+1420000	+28000000	+1.6011	+4.9009%	-0.9036	+1.2442%	+1.2442%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

2.4899

64.1791%

1500000

30000000

1.7042

7.8395%

4.1941

66.9873%

2.8082%

PrimeNet

2⁶⁴

0.2983

62.5000%

55000

1500000

0.0747

4.1105%

0.3729

64.0414%

1.5414%

GPU72

2⁶⁸

4.9946

64.7059%

80000

2000000

0.1031

2.9386%

5.0977

65.7431%

1.0372%

Difference

-1

-2.5047

-0.5268%

+1420000

+28000000

+1.6011

+4.9009%

-0.9036

+1.2442%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
11933863	751880746436111	15	49.417	31501985 5 × 37 × 47 × 3623	-	47	3623	1.013e-5	0.0001	0.0002
11933863	5067203867200889	16	52.170	212303588 2² × 7 × 163 × 181 × 257	2014-07-30	181	257	5.820e-5	0.0001	0.0002

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

11933863

751880746436111

49.417

31501985
5 × 37 × 47 × 3623

3623

1.013e-5

0.0001

0.0002

11933863

5067203867200889

52.170

212303588
2² × 7 × 163 × 181 × 257

2014-07-30

181

257

5.820e-5

0.0001

0.0002

exponent	prime factors	composite factor	digits	bits*
11933863	751880746436111 5067203867200889	3809933026014952698912040902679	31	101.588

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-11-17T12:05:25	nordi	sweet16	400000	400000		-	skipped known factor: 751880746436111 skipped known factor: 5067203867200889	-	-	0.223	-	-	2.403%
2021-11-19T20:47:23	nordi	sweet16	400000	12000000		-	skipped known factor: 751880746436111 skipped known factor: 5067203867200889	-	-	0.576	-	-	5.935%
2021-12-05T20:30:42	riccardo uberti	Colab_noGPU14	1500000	30000000		-	skipped known factor: 751880746436111 skipped known factor: 5067203867200889	-	-	1.704	-	-	7.840%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-07-30T11:52:00	TJAOI	Manual testing	?	?	5067203867200889	52.170	16	7.92194e-6	9.65	1.66364e-5

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.331 GHz-days
Estimated T-Level:	0.500

Digits	B1	Curves	Complete	FacMiss
20	11000	10 / 100	0.100	90.438%
25	50000	10 / 280	0.036	96.485%

New Calculation Method

Total ECM effort:	11.331 GHz-days
Estimated T-Level:	0.500

Digits	B1	Complete	FacMiss
20	11000	0.435	64.741%
25	50000	0.040	96.125%
30	250000	0.003	99.748%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	14400000		10	11.33

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2021-12-10T02:57:46	riccardo uberti	Colab_noGPU9	50000	14400000						10	11.33

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-12-04T23:44:25

riccardo uberti

Colab_noGPU12

751880746436111

5067203867200889

90E6635AE9C3CF__

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 = 1500000, B2 = 30000000 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

B1 = 400000, B2 = 12000000 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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