M4 004 934 469 Mersenne number exponent details

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is 2 ^4004934469 - 1

has 1205605406 decimal digits

takes 1,004,756.476 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	0.1194	54.9296%	-	-	-	-	0.1194	54.9296%
Target	2⁹²	250,434.5983	65.2174%	20000000	9600000000	197,146.2306	4.2365%	447,580.8288	66.6909%
Difference	-21	-250,434.4789	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2365%	-447,580.7095	-11.7614%

Known prime factors (1 factor, 51.3 bits, 0.00000128% 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
4004934469	2837768406830393	16	51.334	354284 2² × 7 × 12653	2013-09-04	7	12653	1.149e-7	0.2532	0.4685

P-1 results:
No P-1 results for M4004934469

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2⁵¹	2⁵²	2837768406830393	51.334	16	3.99482e-8	236,591	8.55565e-8
TF systematically completed to 64 but no per-exponent detailed record exists
2022-12-15	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4004934469

Lucas-Lehmer results:
No L-L results for M4004934469

PRP results:
No PRP results for M4004934469

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

10⁰

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷¹

2⁵²

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00