M3250207 Mersenne number exponent details

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is 2^3250207-1

has 978410 decimal digits

takes 0.277 GHz-days to do one L-L test

Last-known PrimeNet details:
-unknown- L-L tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
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	unknown			325020	3250207	0.0598	7.6021%	0.0598	7.6021%	-55.7312%
PrimeNet	2⁶⁰	0.0473	63.3333%	14000	260000	0.0034	2.7709%	0.0506	66.1042%	2.7709%
GPU72	2⁶⁴	1.0951	65.6250%	16000	280000	0.0037	1.6549%	1.0989	67.2799%	1.6549%
Difference	-64	-1.0951	-65.6250%	+309020	+2970207	+0.0560	+5.9473%	-1.0391	-59.6777%	-59.6777%

Known prime factors (2 factors, 158.2 bits, 0.00486886% known):

Remaining cofactor is not a probable-prime

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
3250207	249908416231	12	37.863	38445 3 × 5 × 11 × 233	11	233	-	7.444e-9	2.850e-6	2.967e-6
3250207	1736334408068013770034876096664461697	37	120.385	267111357533230001971393836864 2⁶ × 3³ × 11 × 31 × 101 × 179 × 769 × 10903 × 241567 × 12379693	241567	12379693	2021-01-09	4.909e+10	0.1114	0.1555

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
3250207	249908416231 1736334408068013770034876096664461697	433924581967668189799315330951734884519432604007	48	158.248

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2020-12-25T20:19:20	Jocelyn Larouche	Manual testing	108340	108340		-		-	-	0.013	-	-	1.568%
2021-01-09T12:30:09	Jocelyn Larouche	Manual testing	325020	325020		-		-	-	0.040	-	-	2.582%
2021-01-09T13:00:03	Jocelyn Larouche	Manual testing	325020	3250207	6		1736334408068013770034876096664461697	37	120.385	0.060	0.553	0.120	5.124%

Trial Factoring results:
Exponent "3250207" not found

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.353

Lucas-Lehmer results:
Exponent "3250207" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-02T03:09:02

ATH

ec2-1xd

249908416231

925A749978B794__

no

2017-11-19T10:46:47

Oliver Kruse

Threadripper

249908416231

925A749978B794__

no

2021-01-09T18:22:40

mrh

w

249908416231

1736334408068013770034876096664461697

925A749978B7949A

no

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 = 325020, B2 = 3250207 (stage 2)

B1 = 325020 (stage 1)

B1 = 108340 (stage 1)

10⁰

10¹

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10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

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10⁸

TF factor-bounds graph:

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

Last modified: 2021-01-09T18:22:40+00:00