M697888621 Mersenne number exponent details

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M697888621

<<<

is 2 ^697888621 - 1

has 210085409 decimal digits

takes 22,624.838 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- 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	Prob over default TF
Actual	2⁷³	2.7409	58.9041%	-	-	-	-	2.7409	58.9041%	0.0000%
PrimeNet	2⁸⁰	350.8677	62.5000%	2600000	180000000	576.5586	5.6319%	927.4263	64.6120%	2.1120%
GPU72	2⁸⁴	5,613.8867	64.2857%	4000000	180000000	638.7836	4.2187%	6,252.6703	65.7924%	1.5067%
Difference	-11	-5,611.1458	-5.3816%	-4000000	-180000000	-638.7836	-4.2187%	-6,249.9294	-6.8883%	-6.8883%

Known prime factors (1 factor, 64.3 bits, 0.00000921% 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
697888621	22537325620041573329	20	64.289	16146792584 2³ × 13 × 155257621	2012-01-25	13	155257621	0.0091	397.63	742.66

P-1 results:
No P-1 results for M697888621

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-01-25T14:36:00	ANONYMOUS	Manual testing	?	?	22537325620041573329	64.289	20	0.004	46,364	0.008
2012-01-26T14:41:00	lalera	Manual testing	?	?	22537325620041573329	64.289	20	0.004	46,364	0.008
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-06-25T07:50:00	Architects Cubed	m1_16	2⁶³	2⁶⁴		-	-	0.003	-	-
2022-08-12T16:27:09	LordJulius	Manual testing	2¹	2⁷⁰	22537325620041573329	64.289	20	0.009	46,364	0.019
2022-08-12T16:27:09	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2022-08-12T16:27:09	LordJulius	Manual testing	2⁷¹	2⁷²		-	-	0.685	-	-
2022-08-12T16:27:09	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697888621

Lucas-Lehmer results:
No L-L results for M697888621

PRP results:
No PRP results for M697888621

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-12T16:27:09+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront