M1 352 898 731 Mersenne number exponent details

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is 2 ^1352898731 - 1

has 407263100 decimal digits

takes 109,359.314 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	2⁶⁸	0.0441	54.4118%	-	-	-	-	0.0441	54.4118%
Target	2⁸⁶	11,583.6246	63.9535%	8000000	2000000000	13,658.2467	4.6889%	25,241.8712	65.6437%
Difference	-18	-11,583.5805	-9.5417%	-8000000	-2000000000	-13,658.2467	-4.6889%	-25,241.8272	-11.2319%

Known prime factors (1 factor, 67.9 bits, 0.00000502% 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
1352898731	284768029767421574359	21	67.948	105243660609 3 × 71 × 494101693	2019-11-01	71	494101693	0.0287	3,155.3	5,893.1

P-1 results:
No P-1 results for M1352898731

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-11-01	slaur	palvi2-rtx	2⁶⁷	2⁶⁸	284768029767421574359	67.948	21	0.022	222,479	0.085
2021-03-29	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	284768029767421574359	67.948	21	0.041	222,479	0.085

ECM factoring results:
No ECM results for M1352898731

Lucas-Lehmer results:
No L-L results for M1352898731

PRP results:
No PRP results for M1352898731

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

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10⁹

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 86

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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