M4 017 205 267 Mersenne number exponent details

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is 2 ^4017205267 - 1

has 1209299285 decimal digits

takes 1,007,834.970 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	0.1190	54.9296%	-	-	-	-	0.1190	54.9296%
Target	2⁹²	249,669.6305	65.2174%	20000000	9600000000	197,146.2306	4.2377%	446,815.8611	66.6914%
Difference	-21	-249,669.5115	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2377%	-446,815.7421	-11.7618%

Known prime factors (2 factors, 93.0 bits, 0.00000232% 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
4017205267	232997905487	12	37.762	29 29	2012-08-20	1	29	4.872e-12	0.0009	0.0009
4017205267	42789888585472153	17	55.248	5325828 2² × 3 × 17 × 26107	2019-10-04	17	26107	1.843e-6	0.5233	0.9663

1 Composite Factors:

P-1 results:
No P-1 results for M4017205267

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2³⁷	2³⁸	232997905487	37.762	12	3.14701e-13	237,220	6.73719e-13
2019-10-05			2⁵⁵	2⁵⁶	42789888585472153	55.248	17	6.48597e-7	237,220	1.38853e-6
TF systematically completed to 64 but no per-exponent detailed record exists
2022-12-26	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4017205267

Lucas-Lehmer results:
No L-L results for M4017205267

PRP results:
No PRP results for M4017205267

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

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷¹

2⁵⁶

2³⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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