M2423569 Mersenne number exponent details

is 2 ^2423569 - 1

has 729567 decimal digits

takes 0.164 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	24.5938	67.6471%	1986400	69524000	0.5550	7.1720%	25.1489	69.9674%	2.3204%
PrimeNet	2⁵⁹	0.0317	62.7119%	10000	180000	0.0019	2.5231%	0.0336	63.6527%	0.9408%
GPU72	2⁶³	0.6585	65.0794%	10000	140000	0.0017	1.2774%	0.6602	65.5254%	0.4461%
Difference	+5	+23.9353	+2.5677%	+1976400	+69384000	+0.5533	+5.8946%	+24.4886	+4.4420%	+4.4420%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2423569	9879363847635179124673	22	73.065	2038184975883744 2⁵ × 3² × 7077031166263	2020-10-19	32	7077031166263	1,275.2	37,769	70,543

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.233%
2010-11-14T17:11:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.686%
2011-01-24T03:01:00	Oscar Östlin		95000	1923750		-		-	-	0.019	-	-	2.363%
2014-04-18T10:45:00	mikr	MSI	1986400	69524000		-		-	-	0.555	-	-	7.172%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:14	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-14T19:28:00	Sturle Sunde	ghibu.ifi	2⁶⁰	2⁶¹		-	-	0.063	-	-
2012-06-04T23:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.127	-	-
2013-01-23T08:28:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.405	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.810	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.542	-	-
2015-10-23T09:34:50	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.083	-	-
2017-07-05T06:34:29	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.167	-	-
2019-04-29T13:20:23	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.33	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	7.577 GHz-days
Estimated T-Level:	4.250

Digits	B1	Curves	Complete	FacMiss
20	11000	85 / 100	0.850	42.559%
25	50000	85 / 280	0.304	73.778%

New Calculation Method

Total ECM effort:	7.577 GHz-days
Estimated T-Level:	4.250

Digits	B1	Complete	FacMiss
20	11000	2.742	6.445%
25	50000	0.248	78.051%
30	250000	0.015	98.486%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		78	6.953
50000	5000000	9879363847635179124673	7	0.624

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-02T03:24:00	oodaira	Win02	50000	5000000						3	0.267
2010-03-02T01:27:00	Reaver	Tinka_2010	50000	5000000						3	0.267
2012-03-17T06:19:00	S36049	Wolle5	50000	5000000						3	0.267
2014-02-10T04:43:00	Andy Incline	Office-PC	50000	5000000						3	0.267
2015-07-02T13:55:00	guru	w1	50000	5000000						3	0.267
2016-02-20T04:33:58	Sintax	cloud2	50000	5000000						3	0.267
2016-06-07T23:23:34	Jason U	Server7	50000	5000000						3	0.267
2016-10-06T08:24:45	Bruce	Desk6	50000	5000000						3	0.267
2017-04-15T14:53:53	Bruce	Desk6	50000	5000000						3	0.267
2017-11-16T02:16:06	Bruce	Desk6	50000	5000000						3	0.267
2018-04-21T21:02:18	Bruce	Desk6	50000	5000000						3	0.267
2019-03-25T13:52:48	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.267
2020-10-18T00:16:02	lycorn	colab_A_1	50000	5000000						7	0.624
2020-10-18T01:09:06	mnd9	25836b	50000	5000000						7	0.624
2020-10-18T02:01:28	mnd9	25836b	50000	5000000						7	0.624
2020-10-18T07:19:30	J.R. Allen	lapasus	50000	5000000						7	0.624
2020-10-18T15:08:46	mnd9	75202b	50000	5000000						7	0.624
2020-10-18T21:51:25	rextherunt	ice	50000	5000000						7	0.624
2020-10-19T17:07:36	mnd9	libproj	50000	5000000	9879363847635179124673	73.065	7	2	8732287672764347	7	0.624

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-04-13T00:00:00	ANONYMOUS	v4_computers	67B79821F312E983	0.164
2018-05-20T15:56:32	kkmrkkblmbrbk	old	67B79821F312E983	0.164

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-10-20T09:43:09

tottenhoff

3-of-4-Ryzen-5-3600

9879363847635179124673

593EB619CBECA3EC

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 = 1986400, B2 = 69524000 (P-1 stage 2)

B1 = 1986400 (P-1 stage 1)

B1 = 95000, B2 = 1923750 (P-1 stage 2)

B1 = 95000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-10-20T09:43:09+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