M697912903 Mersenne number exponent details

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M697912903

<<<

is 2 ^697912903 - 1

has 210092719 decimal digits

takes 22,625.625 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	2⁶⁷	0.0426	55.2239%	-	-	-	-	0.0426	55.2239%	0.0000%
PrimeNet	2⁸⁰	350.8555	62.5000%	2600000	180000000	576.5586	5.6319%	927.4141	64.6120%	2.1120%
GPU72	2⁸⁴	5,613.6913	64.2857%	4000000	180000000	638.7836	4.2188%	6,252.4749	65.7924%	1.5067%
Difference	-17	-5,613.6488	-9.0618%	-4000000	-180000000	-638.7836	-4.2188%	-6,252.4324	-10.5685%	-10.5685%

Known prime factors (3 factors, 156.2 bits, 0.00002239% 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
697912903	195415612841	12	37.508	140 2² × 5 × 7	2008-04-30	5	7	2.703e-11	0.0002	0.0005
697912903	268844839750700383	18	57.900	192606297 3 × 13 × 4938623	2015-07-25	13	4938623	4.607e-5	12.649	23.624
697912903	2067194704207562383	19	60.842	1480983297 3 × 3251 × 151849	2016-03-09	3251	151849	0.0003	0.5334	0.7263

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
697912903	195415612841 268844839750700383	52536479119023553002918418103	29	95.407
697912903	195415612841 2067194704207562383	403962119984390524340683360103	30	98.350
697912903	268844839750700383 2067194704207562383	555754628986178587624280129414492689	36	118.742
697912903	195415612841 268844839750700383 2067194704207562383	108603131412556671219270519740991879328049019449	48	156.250

P-1 results:
No P-1 results for M697912903

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-07-25T14:43:00	TJAOI	Manual testing	2⁵⁷	2⁵⁸*	268844839750700383	57.900	18	1.85595e-5	46,366	3.80331e-5
2016-03-09T12:51:24	TJAOI	Manual testing	2⁶⁰	2⁶¹*	2067194704207562383	60.842	19	3.41538e-5	46,366	6.99897e-5

ECM factoring results:
No ECM results for M697912903

Lucas-Lehmer results:
No L-L results for M697912903

PRP results:
No PRP results for M697912903

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

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶¹

2⁵⁸

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-03-09T12:51:24+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