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Old 2022-12-28, 00:51   #2234
Rubiksmath
 
Sep 2022

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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)
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Old 2022-12-28, 03:01   #2235
Rubiksmath
 
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Edit: Make that 3, this just happened aparrently:
M208073 has a factor: 3731074311071089639450741837271 (ECM curve 35, B1=3000000, B2=6616119510)
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Old 2022-12-30, 01:08   #2236
Runtime Error
 
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Found a 110-bit factor on a wave front exponent!

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

M114785129 has a 110.863-bit (34-digit) factor: 2361477100582561776755612373583993 (P-1,B1=1400000,B2=1001933790)
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Old 2022-12-30, 06:40   #2237
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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.
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Old 2023-01-05, 00:55   #2238
Uncwilly
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Nice 100 bit P-1 factor: 119636903 has a factor: 1455962897408551638312586078553
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Old 2023-01-07, 14:32   #2239
Viliam Furik
 
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"Viliam Furík"
Jul 2018
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Default 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.
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Old 2023-01-12, 01:54   #2240
Jwb52z
 
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UID: Jwb52z/Clay, M119686603 has a factor: 194945427614502977436457 (P-1, B1=537000)

77.367 bits.
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Old 2023-01-12, 02:27   #2241
chalsall
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"Chris Halsall"
Sep 2002
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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 this.
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Old 2023-01-15, 21:21   #2242
KingKurly
 
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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
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Old 2023-01-15, 21:24   #2243
James Heinrich
 
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"James Heinrich"
May 2004
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Quote:
Originally Posted by KingKurly View Post
think this is my biggest factor
It is.

Nice factor (that the previous 9 P-1 attempts failed to find).
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Old 2023-01-16, 00:19   #2244
Stargate38
 
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Quote:
Originally Posted by KingKurly View Post
M2614303 has factor 94286373215560002099130008156415246687079887097 (156.04 bits)
k = 2^2 * 23 * 89 * 103 * 4423 * 17053 * 267517 * 3876497 * 5110717 * 53488147
I just checked, and it's also the 18th largest P-1 factor ever found for a Mersenne number.
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