M35821609 Mersenne number exponent details

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is 2 ^35821609 - 1

has 10783379 decimal digits

takes 44.777 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	ECCE249D7AB17988	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	2⁷²	26.6971	63.8889%	1200000	73200000	9.2850	6.5083%	35.9821	66.2391%	2.3502%
PrimeNet	2⁶⁷	0.8295	61.1940%	160000	6000000	0.8667	5.3528%	1.6962	63.2712%	2.0772%
GPU72	2⁷¹	13.3461	63.3803%	260000	8000000	1.2356	4.0175%	14.5817	64.8515%	1.4712%
Difference	+1	+13.3510	+0.5086%	+940000	+65200000	+8.0494	+2.4908%	+21.4005	+1.3876%	+1.3876%

Known prime factors (1 factor, 114.9 bits, 0.00032063% 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
35821609	37533512686961073352872057770174521	35	114.854	523894846361606388937918140 2² × 3 × 5 × 23 × 117101 × 173777 × 971063 × 19211653	2021-06-30	971063	19211653	4.282e+9	3.5613	3.5820

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2007-03-20T00:00:00	ANONYMOUS	v4_computers	485000	485000		-		-	-	0.879	-	-	1.714%
2021-06-30T05:36:17	firejuggler	Maison	1200000	73200000			37533512686961073352872057770174521	35	114.854	9.285	89.55	18.57	6.508%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-08-20T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.002	-	-
2006-04-28T00:00:00	TMarshall	v4_computers	?	2⁶⁹		-	-	1.669	-	-
2014-09-19T17:26:00	LaurV	Manual testing	2⁶⁹	2⁷⁰		-	-	3.338	-	-
2014-10-03T00:45:00	monst	Manual testing	2⁷⁰	2⁷¹		-	-	6.676	-	-
2021-07-04T18:58:56	firejuggler	Manual testing	2⁷¹	2⁷²		-	-	13.35	-	-

ECM factoring results:
Exponent "35821609" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2007-08-14T00:00:00	2knarf	v4_computers	ECCE249D7AB17988	44.78
2007-12-03T00:00:00	2knarf	v4_computers	ECCE249D7AB17988	44.78
2014-10-28T10:58:00	vwflat4	DC1	ECCE249D7AB17988	44.78

PRP results:
Exponent "35821609" not found

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 = 1200000, B2 = 73200000 (P-1 stage 2)

B1 = 1200000 (P-1 stage 1)

B1 = 485000 (P-1 stage 1)

10⁴

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TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

Last modified: 2021-07-04T18:58:56+00:00