M4 030 602 941 Mersenne number exponent details

≡

is 2 ^4030602941 - 1

has 1213332386 decimal digits

takes 1,011,196.173 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	0.1186	54.9296%	-	-	-	-	0.1186	54.9296%
Target	2⁹²	248,839.7318	65.2174%	20000000	6000000000	125,796.0639	4.2391%	374,635.7957	66.6918%
Difference	-21	-248,839.6132	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2391%	-374,635.6771	-11.7623%

Known prime factors (1 factor, 61.5 bits, 0.00000153% 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
4030602941	3280058047370978513	19	61.508	406894216 2³ × 67 × 759131	2013-11-12	67	759131	0.0001	15.069	28.101

P-1 results:
No P-1 results for M4030602941

Trial Factoring results:
No TF results for M4030602941

ECM factoring results:
No ECM results for M4030602941

Lucas-Lehmer results:
No L-L results for M4030602941

PRP results:
No PRP results for M4030602941

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

10⁶

TF factor-bounds graph:

2⁷¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

JSON version of this page

Last modified: 2023-10-02T12:12:48+00:00