M29928149 Mersenne number exponent details

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M29928149

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is 2 ^29928149 - 1

has 9009271 decimal digits

takes 31.175 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	2⁶⁸	1.9916	63.2353%	-	-	-	-	1.9916	63.2353%	0.0000%
PrimeNet	2⁶⁷	0.9928	62.6866%	130000	5000000	0.5971	4.9064%	1.5900	64.5173%	1.8308%
GPU72	2⁷¹	15.9742	64.7887%	200000	6000000	0.7794	3.5587%	16.7536	66.0418%	1.2531%
Difference	-3	-13.9826	-1.5534%	-200000	-6000000	-0.7794	-3.5587%	-14.7620	-2.8065%	-2.8065%

Known prime factors (2 factors, 120.9 bits, 0.00040401% 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
29928149	12435644811743831	17	53.465	207758335 5 × 41551667	-	5	41551667	5.359e-5	3.4194	6.3864
29928149	201060684012180807751	21	67.446	3359056452375 3 × 5³ × 13 × 689037221	2022-08-05	125	689037221	1.1777	56.702	105.90

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
29928149	12435644811743831 201060684012180807751	2500319251981742092351976192471234081	37	120.912

P-1 results:
No P-1 results for M29928149

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-05-10T00:00:00	Alex Kruppa	v4_computers	2¹	2⁵³		-	-	4.00935e-5	-	-
2022-08-10T19:29:23	LordJulius	Manual testing	2¹	2⁶⁵	12435644811743831	53.465	17	5.35881e-5	64.46	0.000
2022-08-10T19:29:23	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.250	-	-
2022-08-10T19:29:23	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.499	-	-
2022-08-05T09:36:09	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	201060684012180807751	67.446	21	0.185	63.46	0.376
2022-08-10T19:29:23	LordJulius	Manual testing	2⁶⁷	2⁶⁸	201060684012180807751	67.446	21	0.185	63.46	0.376

ECM factoring results:
No ECM results for M29928149

Lucas-Lehmer results:
No L-L results for M29928149

PRP results:
No PRP results for M29928149

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

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:23+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