M4 125 777 847 Mersenne number exponent details

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is 2 ^4125777847 - 1

has 1241982888 decimal digits

takes 1,035,073.618 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	2⁷¹	0.1159	54.9296%	-	-	-	-	0.1159	54.9296%
Target	2⁹²	243,099.4087	65.2174%	20000000	6000000000	125,796.0639	4.2486%	368,895.4725	66.6952%
Difference	-21	-243,099.2928	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2486%	-368,895.3567	-11.7656%

Known prime factors (3 factors, 145.0 bits, 0.00000352% 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
4125777847	55846528936993	14	45.667	6768 2⁴ × 3² × 47	2012-08-20	16	47	1.266e-9	0.0064	0.0118
4125777847	251672448667001	15	47.839	30500 2² × 5³ × 61	2019-07-12	125	125	7.357e-9	0.0455	0.0925
4125777847	3226993646142439	16	51.519	391077 3² × 19 × 2287	2019-07-12	19	2287	8.258e-8	0.0519	0.0845

4 Composite Factors:

P-1 results:
No P-1 results for M4125777847

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-12			2⁴⁷	2⁴⁸	251672448667001	47.839	15	2.81314e-9	2,100,810	0.131
2019-07-12			2⁵¹	2⁵²	3226993646142439	51.519	16	9.86764e-9	2,100,810	0.131
2023-10-16	VladimirLapin	GTX780Ti	2³¹	2⁷⁰	251672448667001	47.839	15	0.058	2,100,810	0.131
2023-10-16	VladimirLapin	GTX780Ti	2³¹	2⁷⁰	3226993646142439	51.519	16	0.058	2,100,810	0.131
2023-10-16	VladimirLapin	GTX780Ti	2³¹	2⁷⁰	55846528936993	45.667	14	0.058	2,100,810	0.131
2022-12-06	slaur	palvi2-rtx	2⁷⁰	2⁷¹		-	-	0.058	-	-

ECM factoring results:
No ECM results for M4125777847

Lucas-Lehmer results:
No L-L results for M4125777847

PRP results:
No PRP results for M4125777847

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

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁵²

2⁴⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-16T20:47:08+00:00