M1183033 Mersenne number exponent details

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M1183033

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is 2 ^1183033 - 1

has 356129 decimal digits

takes 0.036 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	17DB013CEB1A5927	double-checked
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	25.1167	68.6567%	300000	10000000	0.0368	4.1536%	25.1536	69.9586%	1.3019%
PrimeNet	2⁵⁶	0.0081	62.5000%	5000	80000	0.0004	2.2634%	0.0085	63.3488%	0.8488%
GPU72	2⁶⁰	0.1298	65.0000%	5000	28000	0.0003	0.8002%	0.1301	65.2801%	0.2801%
Difference	+7	+24.9869	+3.6567%	+295000	+9972000	+0.0366	+3.3534%	+25.0235	+4.6785%	+4.6785%

Known prime factors (1 factor, 58.1 bits, 0.00491510% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1183033	319199355325341289	18	58.147	134907206868 2² × 3² × 7 × 535346059	2007-10-15	9	535346059	0.0366	1.2970	2.4224

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-05-05T00:00:00	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.44667e-5	-	-	0.005%
2002-08-31T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	8.89333e-5	-	-	0.018%
2002-08-31T00:00:00	Jocelyn Larouche	v4_computers	3000	3000		-		-	-	0.000	-	-	0.034%
2002-08-31T00:00:00	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.049%
2002-08-31T00:00:00	Jocelyn Larouche	v4_computers	5000	5000		-		-	-	0.000	-	-	0.065%
2002-09-14T00:00:00	Jocelyn Larouche	v4_computers	6000	6000		-		-	-	0.000	-	-	0.081%
2002-09-14T00:00:00	Jocelyn Larouche	v4_computers	7000	7000		-		-	-	0.000	-	-	0.096%
2002-09-14T00:00:00	Jocelyn Larouche	v4_computers	8000	8000		-		-	-	0.000	-	-	0.111%
2002-09-22T00:00:00	Jocelyn Larouche	v4_computers	10000	10000		-		-	-	0.000	-	-	0.139%
2003-09-21T00:00:00	ANONYMOUS	v4_computers	10000	1000000		-		-	-	0.003	-	-	0.989%
unknown			300000	10000000		-		-	-	0.037	-	-	4.154%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.016	-	-
2003-05-11T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.032	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.435 GHz-days
Estimated T-Level:	25.344

Digits	B1	Curves	Complete	FacMiss
20	11000	325 / 100	3.250	3.815%
25	50000	325 / 280	1.161	31.261%
30	250000	44 / 640	0.069	93.351%

New Calculation Method

Total ECM effort:	18.435 GHz-days
Estimated T-Level:	25.344

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
		319199355325341289	1	0.00000e+0
50000	5000000		281	10.34
250000	25000000		44	8.095

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-15T17:30:00	James Heinrich	WHS			319199355325341289	58.147		1		1	-
2017-08-18T15:26:31	TJAOI	Manual testing	50000	5000000						140	5.152
2018-07-13T08:21:21	TJAOI	Manual testing	50000	5000000						141	5.188
2020-09-11T10:23:36	TJAOI	Manual testing	250000	25000000						44	8.095

Lucas-Lehmer results:
No L-L results for M1183033

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29T11:03:04

Oliver Kruse

GTX-1

319199355325341289

07F1BE7546F416__

2017-10-17T16:43:37

Oliver Kruse

Threadripper

319199355325341289

07F1BE7546F416__

2018-01-03T05:18:11

ATH

ec2-8x

319199355325341289

07F1BE7546F416__

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 = 10000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 10000, B2 = 1000000 (P-1 stage 2)

B1 = 10000 (P-1 stage 1)

B1 = 8000 (P-1 stage 1)

B1 = 7000 (P-1 stage 1)

B1 = 6000 (P-1 stage 1)

B1 = 5000 (P-1 stage 1)

B1 = 4000 (P-1 stage 1)

B1 = 3000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁷

2⁵⁸

2⁵⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-09-11T10:23:36+00:00

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