[QUOTE=aketilander;309279][Sat Aug 25 14:19:11 2012]
UID: aketilander/OBD, M3321932491 has a factor: 28126803354429776910329417 [TF:84:85:mfaktc 0.19 barrett92_mul32]

First factor found within Operation Billion Digits since 2011-07-01.

84.540 bits

k=[COLOR=black]4233500143460588[/COLOR]
(2 x [SIZE=2]2 × 7 × 11 × 13 × 17 × 128837 × 482743)[/SIZE]

This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring[/B], see [URL]http://www.mersenne-aries.sili.net/s...howuserstats=*[/URL][/QUOTE]

None seems to oppose the claim that "This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring"[/B]

On Will Edgingtons list there are a few larger factors for very large Mersenne prime exponent numbers with small k:s, so my question is: Is the factor (of Mersenne prime exponent numbers) I found the factor found [B]using ordinary trial factoring[/B] with the largest [B]k[/B]? (k=[COLOR=black]4233500143460588)[/COLOR]

no factor for M3321933541 from 2^82 to 2^83 [mfaktc 0.18 barrett92_mul32]

no factor for M3321931243 from 2^82 to 2^83 [mfaktc 0.18 barrett92_mul32]
no factor for M3321931243 from 2^83 to 2^84 [mfaktc 0.18 barrett92_mul32]
[Sat Sep 01 21:07:07 2012]
UID: aketilander/OBD, no factor for M3321931243 from 2^84 to 2^85 [mfaktc 0.19 barrett92_mul32]

M3321935963 has 0 factors in [2^73, 2^74-1].
M3321935891 has 0 factors in [2^73, 2^74-1].
M3321935861 has 0 factors in [2^73, 2^74-1].
M3321935797 has 0 factors in [2^73, 2^74-1].
M3321935567 has 0 factors in [2^73, 2^74-1].
M3321935327 has 0 factors in [2^73, 2^74-1].
M3321935321 has 0 factors in [2^73, 2^74-1].
M3321935249 has 0 factors in [2^73, 2^74-1].
M3321935213 has 0 factors in [2^73, 2^74-1].
M3321935209 has 0 factors in [2^73, 2^74-1].

Luigi

[QUOTE=aketilander;309989][Sat Sep 01 21:07:07 2012]
UID: aketilander/OBD, no factor for M3321931243 from 2^84 to 2^85 [mfaktc 0.19 barrett92_mul32][/QUOTE]

wblipp I don't think you recorded this one?

M3321935833 has 0 factors in [2^74, 2^75-1].

The exponent had smaller factors.

Luigi

no great news
 

no factor for M3321935801 from 2^78 to 2^79 [mfaktc 0.18 barrett79_mul32]

no factor for M3321934243 from 2^82 to 2^83 [mfakto 0.11-Win mfakto_cl_barrett92_4]
no factor for M3321934243 from 2^83 to 2^84 [mfakto 0.11-Win mfakto_cl_barrett92_4]

New factor found!!!
 

M3321934307 has a factor: 8549101696397212690851457 [TF:82:83*:mfakto 0.11-Win mfakto_cl_barrett92]
found 1 factor for M3321934307 from 2^82 to 2^83 (partially tested) [mfakto 0.11-Win mfakto_cl_barrett92_4]

82.[SIZE=2]822 bits[/SIZE]

[SIZE=2]k= [/SIZE][SIZE=2][COLOR=#0066cc]1286765617005504[/COLOR][/SIZE]
[SIZE=2](2^6 × 3^2 × 1811 × 1233554989)[/SIZE]

I am not doing the rest of the trial factoring between 2^82 to 2^83 since checkpoint-file was not saved.

Releasing M3321934307

[QUOTE=aketilander;312559]M3321934307 has a factor: 8549101696397212690851457 [TF:82:83*:mfakto 0.11-Win mfakto_cl_barrett92]
found 1 factor for M3321934307 from 2^82 to 2^83 (partially tested) [mfakto 0.11-Win mfakto_cl_barrett92_4]

82.[SIZE=2]822 bits[/SIZE]

[SIZE=2]k= [/SIZE][SIZE=2][COLOR=#0066cc]1286765617005504[/COLOR][/SIZE]
[SIZE=2](26 × 32 × 1811 × 1233554989)[/SIZE]

I am not doing the rest of the trial factoring between 2^82 to 2^83 since checkpoint-file was not saved.

Releasing M3321934307[/QUOTE]

Thank you aketilander. If no one chooses to complete this range, I will.

Consider the exponent completed to 83 bits.

And yes, I know that the bar graphic on the factors page is stuck at 80 bits. I'll set it up later... :redface:


Luigi

no factor for M3321932567 from 2^82 to 2^83 [mfaktc 0.18 barrett92_mul32]
no factor for M3321932567 from 2^83 to 2^84 [mfaktc 0.18 barrett92_mul32]
[Mon Sep 03 07:35:35 2012]
UID: aketilander/OBD, no factor for M3321932567 from 2^84 to 2^85 [mfaktc 0.19 barrett92_mul32]
[Mon Sep 24 04:33:53 2012]
UID: aketilander/OBD, no factor for M3321932567 from 2^85 to 2^86 [mfaktc 0.19 barrett92_mul32]

no factor for M3321932767 from 2^82 to 2^83 [mfaktc 0.18 barrett92_mul32]
no factor for M3321932767 from 2^83 to 2^84 [mfaktc 0.18 barrett92_mul32]
[Mon Sep 03 15:00:14 2012]
UID: aketilander/OBD, no factor for M3321932767 from 2^84 to 2^85 [mfaktc 0.19 barrett92_mul32]
[Mon Sep 24 08:05:07 2012]
UID: aketilander/OBD, no factor for M3321932767 from 2^85 to 2^86 [mfaktc 0.19 barrett92_mul32]