M7 757 Mersenne number exponent details

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is 2 ⁷⁷⁵⁷ - 1

has 2336 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0003	70.4545%	500	50000	0.0000	1.1685%	0.0003	70.7998%
Difference	-44	-0.0003	-70.4545%	-500	-50000	0.0000	-1.1685%	-0.0003	-70.7998%

Known prime factors (2 factor, 7,757.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7757	233293220467553594643512097574361	33	107.524	15037593171816010999323971740 2² × 5 × 601 × 6529 × 480959 × 398399825023117	-	480959	398399825023117	1.952e+13	3,199.8	5,976.4
7757	hide decimal representation P2303 click to show decimal representation	2,303	7,649.476

P-1 results:
No P-1 results for M7757

Trial Factoring results:
No TF results for M7757

ECM factoring results:
No ECM results for M7757

Lucas-Lehmer results:
No L-L results for M7757

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-09

kkmrkkblmbrbk

c4.large

233293220467553594643512097574361

PRP

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

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

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