M4 015 042 327 Mersenne number exponent details

≡

is 2 ^4015042327 - 1

has 1208648175 decimal digits

takes 1,007,292.332 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	0.1191	54.9296%	-	-	-	-	0.1191	54.9296%
Target	2⁹²	249,804.1299	65.2174%	20000000	9600000000	197,146.2306	4.2375%	446,950.3604	66.6913%
Difference	-21	-249,804.0108	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2375%	-446,950.2413	-11.7617%

Known prime factors (2 factors, 98.5 bits, 0.00000245% 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
4015042327	232872454967	12	37.761	29 29	2012-08-20	1	29	4.875e-12	0.0009	0.0009
4015042327	1920449486091186319	19	60.736	239156817 3 × 79718939	2019-12-24	3	79718939	7.623e-5	1,580.0	2,951.0

1 Composite Factors:

P-1 results:
No P-1 results for M4015042327

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2³⁷	2³⁸	232872454967	37.761	12	3.14871e-13	237,109	6.74130e-13
2019-12-24	slaur	palvi2-rtx	2¹	2⁶⁴	1920449486091186319	60.736	19	0.001	221,496	0.002
Missing TF 64 - 65
Missing TF 65 - 66
Missing TF 66 - 67
Missing TF 67 - 68
2022-12-24	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4015042327

Lucas-Lehmer results:
No L-L results for M4015042327

PRP results:
No PRP results for M4015042327

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

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷¹

2⁶⁴

2³⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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