M33 669 887 Mersenne number exponent details

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is 2 ^33669887 - 1

has 10135646 decimal digits

takes 39.843 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 LL tests remaining

	Residue	Status
L-L	FA3744022FF84EDB	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	14.1990	63.3803%	600000	7600000	1.6839	4.3665%	15.8829	64.9793%
Target	2⁷¹	14.1990	63.3803%	240000	7000000	1.0437	3.8353%	15.2427	64.7848%
Difference	-	-	-	+360000	+600000	+0.6401	+0.5311%	+0.6401	+0.1945%

Known prime factors (1 factor, 71.1 bits, 0.00021107% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
33669887	2473769384445232836463	22	71.067	36735635383113 3 × 641 × 40751 × 468781	2014-12-23	40751	468781	15.776	0.1099	0.1423

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-12-23	ANONYMOUS	v4_computers	380000	7600000		-	MISSED FACTOR!	-	-	1.327	-	-	4.150%
2014-12-23	riccardo uberti	Xeon12C	600000	600000			2473769384445232836463	22	71.067	1.030	79.69	2.059	2.086%
unknown			600000	7600000		-	MISSED FACTOR!	-	-	1.684	-	-	4.366%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-21	markr	v4_computers	2¹	2⁶³		-	-	0.047	-	-
2003-08-31	markr	v4_computers	2¹	2⁶⁴		-	-	0.106	-	-
2003-12-13	ANONYMOUS	v4_computers	2¹	2⁶⁸		-	-	1.770	-	-
2012-11-27	kracker	Manual testing	2⁶⁸	2⁶⁹		-	-	1.776	-	-
2013-06-01	GrunwalderGIMP	Manual testing	2⁶⁹	2⁷⁰		-	-	3.551	-	-
2013-06-01	GrunwalderGIMP	Manual testing	2⁷⁰	2⁷¹		-	-	7.102	-	-

ECM factoring results:
No ECM results for M33669887

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-02-07	ANONYMOUS	v4_computers	FA3744022FF84EDB	39.84
2014-12-17	Architects Cubed	R720_3	07C2C75DEC2B8B0E	39.84

PRP results:
No PRP results for M33669887

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 = 600000, B2 = 7600000 (P-1 stage 2)

B1 = 380000, B2 = 7600000 (P-1 stage 2)

B1 = 600000 (P-1 stage 1)

B1 = 380000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁴

2⁶³

this exponent TF target: 71

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-03-25T13:08:14+00:00