M2 248 930 349 Mersenne number exponent details

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is 2 ^2248930349 - 1

has 676995494 decimal digits

takes 347,022.447 GHz-days to do one PRP test

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	2⁶⁸	0.0265	52.9412%	-	-	-	-	0.0265	52.9412%
Target	2⁸⁹	55,747.2886	64.0449%	12000000	3250000000	42,156.5864	4.3699%	97,903.8750	65.6161%
Difference	-21	-55,747.2621	-11.1038%	-12000000	-3250000000	-42,156.5864	-4.3699%	-97,903.8485	-12.6750%

Known prime factors (2 factors, 82.8 bits, 0.00000368% 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
2248930349	1943075821537	13	40.821	432 2⁴ × 3³	2012-08-20	27	27	6.699e-11	0.0060	0.0123
2248930349	4425894926833	13	42.009	984 2³ × 3 × 41	2019-07-15	8	41	3.498e-10	0.0022	0.0036

1 Composite Factors:

P-1 results:
No P-1 results for M2248930349

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-15			2⁴²	2⁴³	4425894926833	42.009	13	8.93225e-11	704,507	0.058
2023-11-12	JamesHeinrich	RTX4090	2¹	2⁶⁸	1943075821537	40.821	13	0.027	704,507	0.058
2023-11-12	JamesHeinrich	RTX4090	2¹	2⁶⁸	4425894926833	42.009	13	0.027	704,507	0.058

ECM factoring results:
No ECM results for M2248930349

Lucas-Lehmer results:
No L-L results for M2248930349

PRP results:
No PRP results for M2248930349

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

10⁰

10¹

10²

TF factor-bounds graph:

2⁶⁸

2⁴³

this exponent TF target: 89

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-11-12T20:25:09+00:00