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 2022-12-28, 00:51 #2234 Rubiksmath   Sep 2022 22×17 Posts 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)
 2022-12-28, 03:01 #2235 Rubiksmath   Sep 2022 4416 Posts Edit: Make that 3, this just happened aparrently: M208073 has a factor: 3731074311071089639450741837271 (ECM curve 35, B1=3000000, B2=6616119510)
 2022-12-30, 01:08 #2236 Runtime Error   Sep 2017 USA 2×5×19 Posts 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)
 2022-12-30, 06:40 #2237 Jwb52z     Sep 2002 84610 Posts 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.
 2023-01-05, 00:55 #2238 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 2A9016 Posts Nice 100 bit P-1 factor: 119636903 has a factor: 1455962897408551638312586078553
 2023-01-07, 14:32 #2239 Viliam Furik     "Viliam Furík" Jul 2018 Martin, Slovakia 13·61 Posts 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.
 2023-01-12, 01:54 #2240 Jwb52z     Sep 2002 2×32×47 Posts UID: Jwb52z/Clay, M119686603 has a factor: 194945427614502977436457 (P-1, B1=537000) 77.367 bits.
 2023-01-12, 02:27 #2241 chalsall If I May     "Chris Halsall" Sep 2002 Barbados 22·47·59 Posts 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.
 2023-01-15, 21:21 #2242 KingKurly     Sep 2010 Annapolis, MD, USA BF16 Posts 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
2023-01-15, 21:24   #2243
James Heinrich

"James Heinrich"
May 2004
ex-Northern Ontario

11×373 Posts

Quote:
 Originally Posted by KingKurly think this is my biggest factor
It is.

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

2023-01-16, 00:19   #2244
Stargate38

"Daniel Jackson"
May 2011
14285714285714285714

3×251 Posts

Quote:
 Originally Posted by KingKurly 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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