M2 971 550 831 Mersenne number exponent details

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is 2 ^2971550831 - 1

has 894525934 decimal digits

takes 514,896.846 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	2⁶⁴	0.0012	50.0000%	-	-	-	-	0.0012	50.0000%
Target	2⁹¹	168,762.7457	64.8352%	15000000	4500000000	65,162.8370	4.1330%	233,925.5827	66.2885%
Difference	-27	-168,762.7445	-14.8352%	-15000000	-4500000000	-65,162.8370	-4.1330%	-233,925.5815	-16.2885%

Known prime factors (2 factors, 103.9 bits, 0.00000350% 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
2971550831	207610370358647	15	47.561	34933 181 × 193	2012-12-22	181	193	7.406e-9	0.0456	0.0926
2971550831	92285908951934881	17	56.357	15528240 2⁴ × 3³ × 5 × 7 × 13 × 79	2019-09-21	27	79	3.230e-6	0.0075	0.0138

1 Composite Factors:

P-1 results:
No P-1 results for M2971550831

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-09-21	slaur	palvi2-rtx	2¹	2⁶⁴	92285908951934881	56.357	17	0.001	164,332	0.003

ECM factoring results:
No ECM results for M2971550831

Lucas-Lehmer results:
No L-L results for M2971550831

PRP results:
No PRP results for M2971550831

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

10³

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁶⁴

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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