M3250207 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	18.3388	67.6471%	325020	6500414	0.0816	3.9589%	18.4204	71.6060%	8.2727%
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	+4	+17.2437	+2.0221%	+309020	+6220414	+0.0779	+2.3041%	+17.3216	+4.3261%	+4.3261%

	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

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	-	-	0.905%
2021-01-09T12:30:09	Jocelyn Larouche	Manual testing	325020	325020		-		-	-	0.040	-	-	1.597%
2021-01-09T13:00:03	Jocelyn Larouche	Manual testing	325020	3250207	6		1736334408068013770034876096664461697	37	120.385	0.060	0.553	0.120	3.391%
2021-01-17T23:14:15	Jocelyn Larouche	Manual testing	325020	6500414	6	-		-	-	0.082	-	-	3.959%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-04-09T12:17:57	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	9.197	-	-

ECM factoring results:

Total ECM effort:	0.353 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		3	0.353

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2018-11-23T00:33:14	rucio		50000	5000000						3	0.353

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-02T03:09:02

ATH

ec2-1xd

249908416231

925A749978B794__

2017-11-19T10:46:47

Oliver Kruse

Threadripper

249908416231

925A749978B794__

2021-01-09T18:22:40

mrh

249908416231

1736334408068013770034876096664461697

925A749978B7949A

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 = 6500414 (stage 2)

B1 = 325020, B2 = 3250207 (stage 2)

B1 = 325020 (stage 1)

B1 = 108340 (stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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	<	123M	PrimeNet wavefront