M3 831 826 553 Mersenne number exponent details

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is 2 ^3831826553 - 1

has 1153494731 decimal digits

takes 886,065.541 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	0.0156	52.9412%	-	-	-	-	0.0156	52.9412%
Target	2⁹²	261,748.3179	65.2174%	19000000	5500000000	106,496.6258	4.1416%	368,244.9437	66.6579%
Difference	-24	-261,748.3024	-12.2762%	-19000000	-5500000000	-106,496.6258	-4.1416%	-368,244.9282	-13.7168%

Known prime factors (1 factor, 67.0 bits, 0.00000175% 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
3831826553	146434145734011733537	21	66.989	19107616656 2⁴ × 3 × 398075347	2017-01-11	16	398075347	0.0053	7,272.0	13,582

P-1 results:
No P-1 results for M3831826553

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-04-08	slaur	nocebo-1650	2⁶⁴	2⁶⁸	146434145734011733537	66.989	21	0.015	1,801,030	0.030

ECM factoring results:
No ECM results for M3831826553

Lucas-Lehmer results:
No L-L results for M3831826553

PRP results:
No PRP results for M3831826553

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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TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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