M2 988 788 531 Mersenne number exponent details

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is 2 ^2988788531 - 1

has 899714999 decimal digits

takes 575,134.237 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	0.1600	54.9296%	-	-	-	-	0.1600	54.9296%
Target	2⁹¹	167,789.4144	64.8352%	15000000	4500000000	72,366.3969	4.1353%	240,155.8113	66.2894%
Difference	-20	-167,789.2544	-9.9056%	-15000000	-4500000000	-72,366.3969	-4.1353%	-240,155.6513	-11.3598%

Known prime factors (1 factor, 70.6 bits, 0.00000236% 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
2988788531	1795040939153626964567	22	70.605	300295741993 13 × 77711 × 297251	2020-04-17	77711	297251	0.1510	25.021	44.129

P-1 results:
No P-1 results for M2988788531

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-04-18	ramgeis	r4mg31s	2⁶⁸	2⁷¹	1795040939153626964567	70.605	22	0.028	175,757	0.060

ECM factoring results:
No ECM results for M2988788531

Lucas-Lehmer results:
No L-L results for M2988788531

PRP results:
No PRP results for M2988788531

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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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