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-   -   Found a factor? Post it here. Or forever fold your crease. (https://www.mersenneforum.org/showthread.php?t=13977)

 Rubiksmath 2022-12-28 00:51

Had a lucky ECM streak on unfactored exponents recently, usually find 1 factor every couple weeks but have got 2 factors within a few hours of each other:

M214783 has a factor: 1102834494064669506004266650004828269423 / (ECM curve 17, B1=3000000, B2=6616119510, Sigma=137844928612264) (129.696 bits, 40 digits, new personal record largest factor)

M210491 has a factor: 1680490771184651242949512447428919 / (ECM curve 11, B1=3000000, B2=6616119510, Sigma=575255113699867) (110.373 bits, 34 digits)

 Rubiksmath 2022-12-28 03:01

Edit: Make that 3, this just happened aparrently:
M208073 has a factor: 3731074311071089639450741837271 (ECM curve 35, B1=3000000, B2=6616119510)

 Runtime Error 2022-12-30 01:08

Found a 110-bit factor on a wave front exponent!

min B1 = 1,000,037
min B2 = 545,850,313

[M]M114785129[/M] has a 110.863-bit (34-digit) factor: [url=https://www.mersenne.ca/M114785129]2361477100582561776755612373583993[/url] (P-1,B1=1400000,B2=1001933790)

 Jwb52z 2022-12-30 06:40

P-1 found a factor in stage #2, B1=537000, B2=19025622.
UID: Jwb52z/Clay, M119602183 has a factor: 39769121872136784387765097 (P-1, B1=537000, B2=19025622)

85.040 bits.

 Uncwilly 2023-01-05 00:55

Nice 100 bit P-1 factor: [CA]119636903[/CA] has a factor: 1455962897408551638312586078553

 Viliam Furik 2023-01-07 14:32

Another one joins the club (bites the dust)

M736647071 has a factor: 19251950982339179681312159 (TF 83-84)

A new member of a relatively small group of Mersenne's with 10 (or more) known factors.

 Jwb52z 2023-01-12 01:54

UID: Jwb52z/Clay, M119686603 has a factor: 194945427614502977436457 (P-1, B1=537000)

77.367 bits.

 chalsall 2023-01-12 02:27

I've been amusing my sorry little butt by TF'ing way down in 2M. Also some P-1.

My success rate on the TF has been very low (as expected). But today I found [URL="https://www.mersenne.ca/exponent/2028749"]this[/URL].

 KingKurly 2023-01-15 21:21

M2614303 has factor 94286373215560002099130008156415246687079887097 (156.04 bits)
k = 2^2 * 23 * 89 * 103 * 4423 * 17053 * 267517 * 3876497 * 5110717 * 53488147

think this is my biggest factor; I've found other large factors with P-1 but they were composite

 James Heinrich 2023-01-15 21:24

[QUOTE=KingKurly;622637]think this is my biggest factor[/QUOTE]It [url=https://www.mersenne.ca/userfactors/pm1/845/bits]is[/url].

Nice factor (that the previous 9 P-1 attempts failed to find).

 Stargate38 2023-01-16 00:19

[QUOTE=KingKurly;622637]M2614303 has factor 94286373215560002099130008156415246687079887097 (156.04 bits)
k = 2^2 * 23 * 89 * 103 * 4423 * 17053 * 267517 * 3876497 * 5110717 * 53488147[/QUOTE]

I just checked, and it's also the [url=https://www.mersenne.ca/userfactors/pm1/1/bits]18th largest P-1 factor ever found[/url] for a Mersenne number.

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