M4 251 787 433 Mersenne number exponent details

≡

is 2 ^4251787433 - 1

has 1279915553 decimal digits

takes 1,150,787.606 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	0.1124	54.9296%	-	-	-	-	0.1124	54.9296%
Target	2⁹²	235,894.7080	65.2174%	20000000	6000000000	135,714.1979	4.2609%	371,608.9059	66.6994%
Difference	-21	-235,894.5955	-10.2878%	-20000000	-6000000000	-135,714.1979	-4.2609%	-371,608.7934	-11.7699%

Known prime factors (1 factor, 49.3 bits, 0.00000116% 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
4251787433	712361473674553	15	49.340	83772 2² × 3² × 13 × 179	2012-12-29	13	179	2.570e-8	0.0087	0.0104

P-1 results:
No P-1 results for M4251787433

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2023-07-06	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.098	-	-

ECM factoring results:
No ECM results for M4251787433

Lucas-Lehmer results:
No L-L results for M4251787433

PRP results:
No PRP results for M4251787433

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

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