Found a factor? Post it here. - Page 204

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

M114785129 has a 110.863-bit (34-digit) factor: 2361477100582561776755612373583993 (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: 119636903 has a factor: 1455962897408551638312586078553

Viliam Furik · 2023-01-07, 14:32

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 this.

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:

Originally Posted by KingKurly

think this is my biggest factor

It is.

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

Stargate38 · 2023-01-16, 00:19

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.

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.

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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

2023-01-12, 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