M1508401 Mersenne number exponent details

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M1508401

<<<

>>>

is 2 ^1508401 - 1

has 454074 decimal digits

takes 0.067 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality 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	2⁶⁷	19.6990	68.6567%	500000	15000000	0.0835	4.9517%	19.7825	70.2087%	1.5520%
PrimeNet	2⁵⁷	0.0127	63.1579%	6500	100000	0.0008	2.3430%	0.0135	64.0211%	0.8632%
GPU72	2⁶¹	0.2036	65.5738%	6000	50000	0.0005	0.9491%	0.2042	65.9005%	0.3268%
Difference	+6	+19.4953	+3.0829%	+494000	+14950000	+0.0830	+4.0026%	+19.5783	+4.3082%	+4.3082%

Known prime factors (1 factor, 28.1 bits, 0.00186353% 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
1508401	289612993	9	28.110	96 2⁵ × 3	-	32	32	2.420e-11	2.073e-6	4.218e-6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-17T19:15:38	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 289612993	-	-	0.084	-	-	4.952%

Trial Factoring results:
No TF results for M1508401

ECM factoring results:

Old Calculation Method

Total ECM effort:	30.078 GHz-days
Estimated T-Level:	25.391

Digits	B1	Curves	Complete	FacMiss
20	11000	301 / 100	3.010	4.855%
25	50000	301 / 280	1.075	34.064%
30	250000	50 / 640	0.078	92.479%

New Calculation Method

Total ECM effort:	30.078 GHz-days
Estimated T-Level:	25.391

Digits	B1	Complete	FacMiss
20	11000	14.654	0.000%
25	50000	1.651	19.189%
30	250000	0.141	86.866%
35	1000000	0.010	99.021%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		251	13.99
250000	35000000		50	16.09

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2017-11-27T13:07:04	ATH	ec2-1xe	50000	5000000						3	0.167
2018-10-30T14:40:52	Chang Chia-Tche	exbpc13	50000	5000000						3	0.167
2019-06-07T09:11:58	TJAOI	Manual testing	50000	5000000						245	13.66
2022-03-17T11:20:44	TJAOI	Manual testing	250000	35000000						50	16.09

Lucas-Lehmer results:
No L-L results for M1508401

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-01T11:03:03

Oliver Kruse

GTX-2

289612993

4306B66E60F3DA__

2017-10-29T13:24:18

kkmrkkblmbrbk

old

289612993

4306B66E60F3DA__

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 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-17T11:20:44+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