M4 283 040 761 Mersenne number exponent details

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is 2 ^4283040761 - 1

has 1289323742 decimal digits

takes 1,159,246.623 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	0.1116	54.9296%	-	-	-	-	0.1116	54.9296%
Target	2⁹²	234,173.3854	65.2174%	22000000	6000000000	136,456.3469	4.3025%	370,629.7323	66.7139%
Difference	-21	-234,173.2738	-10.2878%	-22000000	-6000000000	-136,456.3469	-4.3025%	-370,629.6207	-11.7843%

Known prime factors (1 factor, 36.9 bits, 0.00000086% 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
4283040761	128491222831	12	36.903	15 3 × 5	2012-08-20	3	5	2.214e-12	0.0012	0.0024

P-1 results:
No P-1 results for M4283040761

Trial Factoring results:
No TF results for M4283040761

ECM factoring results:
No ECM results for M4283040761

Lucas-Lehmer results:
No L-L results for M4283040761

PRP results:
No PRP results for M4283040761

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

TF factor-bounds graph:

2⁷¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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