M3375149 Mersenne number exponent details

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M3375149

<<<

>>>

is 2 ^3375149 - 1

has 1016022 decimal digits

takes 0.354 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	7D4728DED1BA6955	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	2⁶⁸	17.6599	67.6471%	4000000	150000000	1.8206	8.8051%	19.4805	70.4958%	2.8487%
PrimeNet	2⁶⁰	0.0455	63.3333%	14000	280000	0.0043	2.8435%	0.0498	64.3759%	1.0426%
GPU72	2⁶⁴	1.0546	65.6250%	18000	320000	0.0052	1.7896%	1.0598	66.2402%	0.6152%
Difference	+4	+16.6054	+2.0221%	+3982000	+149680000	+1.8153	+7.0155%	+18.4207	+4.2556%	+4.2556%

Known prime factors (1 factor, 97.6 bits, 0.00289180% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3375149	240627090720776246214154206601	30	97.603	35646884140637383151700 2² × 3 × 5² × 17 × 251 × 3181 × 1633561 × 5358937	2021-03-08	1633561	5358937	1.840e+10	0.2797	0.5063

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-09T04:56:00	Carsten Kossendey	durandal	15000	206250		-		-	-	0.004	-	-	0.810%
2011-10-18T10:55:00	harlee	P4_2600	60000	930000		-		-	-	0.016	-	-	1.880%
2014-06-24T22:45:00	Jocelyn Larouche	Manual testing	79017	79017		-		-	-	0.012	-	-	0.755%
2014-10-12T23:58:00	Jocelyn Larouche	Manual testing	98034	98034		-		-	-	0.015	-	-	0.860%
2015-08-07T02:08:00	Squeeky_Squirrel	P4_2600	165000	4331250		-		-	-	0.060	-	-	3.301%
2017-04-13T02:08:49	Jocelyn Larouche	low 4M	330000	3300000	6	-		-	-	0.075	-	-	3.427%
2021-03-08T23:43:29	mikr	MSI	4000000	150000000	12		240627090720776246214154206601	30	97.603	1.821	0.709	3.641	8.805%
2022-02-25T17:22:07	Jocelyn Larouche	Manual testing	200000	200000		-		-	-	0.030	-	-	1.269%
2022-04-09T09:24:07	Jocelyn Larouche	Manual testing	1000000	1000000		-		-	-	0.152	-	-	2.569%
2022-04-10T15:21:18	Jocelyn Larouche	Manual testing	1000000	119126238		-		-	-	1.132	-	-	7.542%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:27	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.046	-	-
2009-03-28T08:08:00	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.046	-	-
2011-08-16T04:06:00	markr	oldgamer	2⁶¹	2⁶²		-	-	0.091	-	-
2012-11-15T00:22:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.473	-	-
2016-02-23T16:29:27	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.291	-	-
2015-02-15T12:50:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.582	-	-
2015-02-15T12:50:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.107	-	-
2015-03-31T11:39:00	Gordon Spence	Manual testing	2⁶⁵	2⁶⁶		-	-	2.214	-	-
2017-03-08T15:55:31	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.428	-	-
2018-10-29T15:18:22	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	8.856	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	3.220 GHz-days
Estimated T-Level:	1.100

Digits	B1	Curves	Complete	FacMiss
20	11000	22 / 100	0.220	80.163%
25	50000	22 / 280	0.079	92.431%

New Calculation Method

Total ECM effort:	3.220 GHz-days
Estimated T-Level:	1.100

Digits	B1	Complete	FacMiss
20	11000	0.710	49.180%
25	50000	0.064	93.787%
30	250000	0.004	99.606%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		22	3.220

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-06-09T04:58:00	S36049	Wolle6	50000	5000000						3	0.439
2011-12-09T18:44:00	S00030	op9020-usff	50000	5000000						3	0.439
2014-10-15T13:57:00	S36049	Wolle4	50000	5000000						3	0.439
2016-11-08T06:07:38	Dennis Schreiber	z400	50000	5000000						3	0.439
2019-04-12T20:23:49	furkell	furkell1	50000	5000000						3	0.439
2021-02-25T08:04:16	GAN	KL-SCH07	50000	5000000						7	1.025

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-07-04T00:00:00	ANONYMOUS	v4_computers	7D4728DED1BA6955	0.354

PRP results:

date

userid

compid

cofactors

res64

PRP

2021-03-09T07:58:27

MarkS

desktop-i7

240627090720776246214154206601

89AD546788A057E2

2021-03-09T13:34:06

_p95holder_

TFL16_PRPt11-E_b

240627090720776246214154206601

89AD546788A057E2

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 = 150000000 (P-1 stage 2)

B1 = 1000000, B2 = 119126238 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 330000, B2 = 3300000 (P-1 stage 2)

B1 = 165000, B2 = 4331250 (P-1 stage 2)

B1 = 330000 (P-1 stage 1)

B1 = 200000 (P-1 stage 1)

B1 = 165000 (P-1 stage 1)

B1 = 60000, B2 = 930000 (P-1 stage 2)

B1 = 98034 (P-1 stage 1)

B1 = 79017 (P-1 stage 1)

B1 = 60000 (P-1 stage 1)

B1 = 15000, B2 = 206250 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-04-10T15:21:18+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