M10516021 Mersenne number exponent details

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is 2 ^10516021 - 1

has 3165638 decimal digits

takes 3.435 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	CBC92C74BD2EBDD1

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷¹	45.4619	66.1972%	-	-	-	-	45.4619	66.1972%	3.6972%
PrimeNet	2⁶⁴	0.3385	62.5000%	45000	1300000	0.0537	3.7731%	0.3922	63.9149%	1.4149%
GPU72	2⁶⁸	5.6680	64.7059%	70000	1700000	0.0752	2.7055%	5.7432	65.6608%	0.9549%
Difference	+3	+39.7939	+1.4913%	-70000	-1700000	-0.0752	-2.7055%	+39.7187	+0.5364%	+0.5364%

Known prime factors (1 factor, 28.2 bits, 0.00026848% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10516021	315480631	9	28.233	15 3 × 5	-	3	5	3.412e-12	1.473e-6	2.892e-6

P-1 results:
Exponent "10516021" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁶⁴	2⁶⁵		-	-	0.355	-	-
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁶⁵	2⁶⁶		-	-	0.711	-	-
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁶⁶	2⁶⁷		-	-	1.421	-	-
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁶⁷	2⁶⁸		-	-	2.842	-	-
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁶⁸	2⁶⁹		-	-	5.685	-	-
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁶⁹	2⁷⁰		-	-	11.37	-	-
2020-09-09T16:40:40	Ryan Propper	Manual testing	2⁷⁰	2⁷¹		-	-	22.74	-	-

ECM factoring results:
Exponent "10516021" not found

Lucas-Lehmer results:
Exponent "10516021" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-09-09T13:03:51

storm5510

7700_Kaby_Lake

315480631

CBC92C74BD2EBDD1

no

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

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-09-09T16:40:40+00:00