M697894151 Mersenne number exponent details

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M697894151

<<<

is 2 ^697894151 - 1

has 210087074 decimal digits

takes 22,625.018 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	350.8649	62.5000%	2600000	180000000	576.5586	5.6319%	927.4235	64.6120%	2.1120%
GPU72	2⁸⁴	5,613.8422	64.2857%	4000000	180000000	638.7836	4.2187%	6,252.6258	65.7924%	1.5067%
Difference	-11	-5,611.1013	-5.3816%	-4000000	-180000000	-638.7836	-4.2187%	-6,249.8849	-6.8883%	-6.8883%

Known prime factors (2 factors, 138.0 bits, 0.00001978% 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
697894151	107712469308171437561	21	66.546	77169631780 2² × 5 × 3858481589	2013-12-04	5	3858481589	0.0319	9,882.0	18,457
697894151	3309072372258740124679	22	71.487	2370755197989 3² × 17 × 29 × 97 × 5508401	2022-08-12	97	5508401	1.2026	14.112	26.349

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697894151	107712469308171437561 3309072372258740124679	356428356335437595610907403320039803667919	42	138.033

P-1 results:
No P-1 results for M697894151

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-07-18T13:30:00	Architects Cubed	m1_58	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T14:34:00	ANONYMOUS	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-24T10:36:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2013-12-04T10:01:00	sasaki	Manual testing	2⁶⁶	2⁶⁷	107712469308171437561	66.546	21	0.011	46,364	0.022
2022-08-12T16:27:11	LordJulius	Manual testing	2¹	2⁷⁰	107712469308171437561	66.546	21	0.032	46,364	0.065
2022-08-12T16:27:11	LordJulius	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2022-08-12T16:27:11	LordJulius	Manual testing	2⁷¹	2⁷²	3309072372258740124679	71.487	22	0.518	46,363	1.061
2022-08-12T16:27:11	LordJulius	Manual testing	2⁷²	2⁷³		-	-	1.371	-	-

ECM factoring results:
No ECM results for M697894151

Lucas-Lehmer results:
No L-L results for M697894151

PRP results:
No PRP results for M697894151

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

10¹⁰

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-12T16:27:11+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