M1 049 Mersenne number exponent details

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is 2 ¹⁰⁴⁹ - 1

has 316 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0022	75.0000%	500	50000	0.0000	0.6153%	0.0022	75.1538%
Difference	-44	-0.0022	-75.0000%	-500	-50000	0.0000	-0.6153%	-0.0022	-75.1538%

Known prime factors (4 factors, 1,049.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1049	33569	5	15.035	16 2⁴	-	16	16	4.176e-12	3.061e-10	6.230e-10
1049	459463	6	18.810	219 3 × 73	-	3	73	3.487e-11	1.304e-10	1.485e-10
1049	1059099980653317121	19	59.878	504814099453440 2⁹ × 3 × 5 × 7 × 433 × 21686243	-	512	21686243	133.11	2.261e-5	4.222e-5
1049	hide decimal representation P288 click to show decimal representation	288	955.278

4 Composite Factors:

P-1 results:
No P-1 results for M1049

Trial Factoring results:
No TF results for M1049

ECM factoring results:
No ECM results for M1049

Lucas-Lehmer results:
No L-L results for M1049

PRP results:
No PRP results for M1049

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

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

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Last modified: 2023-10-02T12:12:48+00:00