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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) |
Edit: Make that 3, this just happened aparrently:
M208073 has a factor: 3731074311071089639450741837271 (ECM curve 35, B1=3000000, B2=6616119510) |
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) |
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. |
Nice 100 bit P-1 factor: [CA]119636903[/CA] has a factor: 1455962897408551638312586078553
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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. |
UID: Jwb52z/Clay, M119686603 has a factor: 194945427614502977436457 (P-1, B1=537000)
77.367 bits. |
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]. |
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 |
[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). |
[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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