M5024203 Mersenne number exponent details

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M5024203

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is 2 ^5024203 - 1

has 1512436 decimal digits

takes 0.696 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	06B4DD9ED39B8A5D	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	2⁷³	380.7259	68.4932%	4000000	8989970220	99.2028	10.2978%	479.9287	71.7377%	3.2445%
PrimeNet	2⁶¹	0.0611	62.2951%	22000	450000	0.0091	3.3159%	0.0702	63.5453%	1.2503%
GPU72	2⁶⁵	1.4521	64.6154%	34000	700000	0.0141	2.4180%	1.4662	65.4710%	0.8556%
Difference	+8	+379.2738	+3.8778%	+3966000	+8989270220	+99.1887	+7.8798%	+478.4625	+6.2667%	+6.2667%

Known prime factors:
No known factors for M5024203

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2006-01-15T00:00:00	Jocelyn Larouche	v4_computers	2000	2000		-		-	-	0.000	-	-	0.006%
2009-07-18T12:43:00	harlee	P4_2600	55000	907500		-		-	-	0.020	-	-	1.006%
2014-11-14T01:20:00	Jocelyn Larouche	Manual testing	67775	67775		-		-	-	0.014	-	-	0.348%
2017-02-14T13:30:46	Squeeky_Squirrel	i5-5250U_1600	300000	9375000	12	-		-	-	0.160	-	-	2.645%
2021-04-04T01:45:34	Dylan Delgado	desktoplinux	560000	31360000		-		-	-	0.450	-	-	3.718%
2022-05-17T15:55:41	Sid & Andy	Magic_8_Ball	4000000	8989970220		-		-	-	99.20	-	-	10.298%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-10-19T12:20:52	ATH	5960X	2500000	90000000	2	7			-	-	1.703

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-02-19T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶¹		-	-	0.061	-	-
2016-02-23T16:39:07	Mark Rose	Manual testing	2⁶¹	2⁶³		-	-	0.257	-	-
2014-08-30T01:13:00	kracker	Manual testing	2⁶³	2⁶⁴		-	-	0.391	-	-
2014-09-14T10:24:00	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.744	-	-
2015-07-27T22:27:00	snme2pm1	Manual testing	2⁶⁵	2⁶⁶		-	-	1.487	-	-
2016-05-15T21:43:21	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	2.975	-	-
2018-06-06T17:37:55	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	5.949	-	-
2021-02-01T12:43:30	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	11.90	-	-
2021-04-01T10:41:46	-Anonymous-	Manual testing	2⁶⁹	2⁷⁰		-	-	23.80	-	-
2021-04-01T10:41:46	-Anonymous-	Manual testing	2⁷⁰	2⁷¹		-	-	47.60	-	-
2021-04-03T10:35:42	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	95.19	-	-
2021-04-04T19:23:30	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	190.4	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.897 GHz-days
Estimated T-Level:	0.450

Digits	B1	Curves	Complete	FacMiss
20	11000	9 / 100	0.090	91.352%
25	50000	9 / 280	0.032	96.831%

New Calculation Method

Total ECM effort:	1.897 GHz-days
Estimated T-Level:	0.450

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	1.897

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2010-06-28T12:37:00	S00030	vd01	50000	5000000						3	0.632
2014-05-19T12:48:00	S36049	Wolle6	50000	5000000						3	0.632
2017-06-25T06:26:03	S04803	lfmcal	50000	5000000						3	0.632

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1998-07-21T00:00:00	Joel Armengaud	v4_computers	06B4DD9ED39B8A5D	0.696
2000-10-15T00:00:00	Team_Deutschland	v4_computers	06B4DD9ED39B8A5D	0.696

PRP results:
No PRP results for M5024203

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 = 4000000, B2 = 8989970220 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 560000, B2 = 31360000 (P-1 stage 2)

B1 = 300000, B2 = 9375000 (P-1 stage 2)

B1 = 560000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 55000, B2 = 907500 (P-1 stage 2)

B1 = 67775 (P-1 stage 1)

B1 = 55000 (P-1 stage 1)

B1 = 2000 (P-1 stage 1)

10²

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10⁴

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10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

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10⁹

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶¹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-05-17T15:55:41+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