M103 031 549 Mersenne number exponent details

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M103031549

<<<

is 2 ^103031549 - 1

has 31015587 decimal digits

takes 410.230 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	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁴	37.1330	63.5135 %	-	-	-	-	37.1330	63.5135 %
Target	2⁷⁶	148.5370	64.4737 %	650000	110000000	38.1483	3.8544 %	186.6852	65.8430 %
Difference	-2	-111.4040	-0.9602 %	-650000	-110000000	-38.1483	-3.8544 %	-149.5523	-2.3295 %

Known prime factors (1 factor, 73.9 bits, 0.00007176% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
103031549	18017839390049424291367	23	73.932	87438457273167 3² × 7 × 11 × 13² × 61 × 89 × 137519	2020-01-02	169	137519	34.348	0.0442	0.0808

P-1 results:
No P-1 results for M103031549

Trial Factoring results:

			Bits		Factor
date	userid	compid	from	to	factor	bits*	digits	GHz-days
2010-04-16	Cedric Vonck	Oracle10g	2⁶³	2⁶⁴				0.019
2010-08-20	Commaster	Core-i7	2⁶⁴	2⁶⁵				0.036
2012-04-30	Richard		2⁶⁵	2⁶⁶				0.073
2013-09-02	willmore	Manual testing	2⁶⁶	2⁶⁷				0.145
2013-09-09	willmore	Manual testing	2⁶⁷	2⁶⁸				0.290
2013-09-11	PascalBieri	Manual testing	2⁶⁸	2⁶⁹				0.580
2014-05-13	DasDaniel	Manual testing	2⁶⁹	2⁷⁰				1.160
2015-02-01	Justin	Manual testing	2⁷⁰	2⁷¹				2.321
2017-11-20	el grocco	Manual testing	2⁷¹	2⁷²				4.642
2020-02-03	Niels_Mache_Nextcloud	Manual testing	2⁷²	2⁷³				9.284
2020-01-02	ViliamF	Manual testing	2⁷²	2⁷⁴	18017839390049424291367	73.932	23	26.59

ECM factoring results:
No ECM results for M103031549

Lucas-Lehmer results:
No L-L results for M103031549

PRP results:
No PRP results for M103031549

CERT results:
No CERT results for M103031549

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 76

TF double-checked to: 67

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

JSON version of this page

Last modified: 2024-04-17T15:19:26+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