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Old 2005-11-09, 11:23   #100
em99010pepe
 
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Latest news.

M3321932947 has a factor: 998263250453731877623
Should I keep testing up to 71 bits. Need advice. I have a class within 4 hours.

Carlos

Last fiddled with by em99010pepe on 2005-11-09 at 11:29
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Old 2005-11-09, 11:41   #101
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Quote:
Originally Posted by em99010pepe
Latest news.

M3321932947 has a factor: 998263250453731877623
Should I keep testing up to 71 bits. Need advice. I have a class within 4 hours.

Carlos
We usually did so. But you are not forced, just reach the next integer bit depth and let us know.

Luigi
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Old 2005-11-09, 11:44   #102
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Quote:
Originally Posted by ET_
We usually did so. But you are not forced, just reach the next integer bit depth and let us know.

Luigi
Right now it is in the 69.802 bit. I can stop on 70 bit depth. Is it possible to have more than one factor? If so I will finish up to 71 bits.

Carlos

Last fiddled with by em99010pepe on 2005-11-09 at 11:46
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Old 2005-11-09, 11:51   #103
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Quote:
Originally Posted by em99010pepe
Right now it is in the 69.802 bit. I can stop on 70 bit depth. Is it possible to have more than one factor? If so I will finish up to 71 bits.

Carlos
Yes, it is, although it's unlikely. Some of us have had up to three factors for the same exponent at lower bit depths.
Mind that the higher the bit depth, the lower the probability to find (more than) one factor.

Luigi
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Old 2005-11-09, 11:53   #104
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Ok. Taking the number up to 71 bits. End of story.

Carlos
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Old 2005-11-09, 13:41   #105
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Quote:
Originally Posted by em99010pepe
M3321932947 has a factor: 998263250453731877623
Should I keep testing up to 71 bits. Need advice. I have a class within 4 hours.
A quick guess: No. If a number has a factor then that number is eliminated and there is no reason to test it further.
(At least that's how it is done in 100MDPP....)

Last fiddled with by OmbooHankvald on 2005-11-09 at 13:42
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Old 2005-11-09, 14:32   #106
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Quote:
Originally Posted by OmbooHankvald
A quick guess: No. If a number has a factor then that number is eliminated and there is no reason to test it further.
(At least that's how it is done in 100MDPP....)
OBD leaves the decision to the prover

Note that it is easier to factorize a number knowing more than one factor, and there is someone who collects Mersenne factors.

Luigi
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Old 2005-11-09, 14:52   #107
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OmbooHankvaid,

As Luigi said that's my call. Period.

Carlos
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Old 2005-11-10, 03:47   #108
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Quote:
Originally Posted by em99010pepe
M3321932947 has a factor: 998263250453731877623
Should I keep testing up to 71 bits. Need advice. I have a class within 4 hours.
This factor is about 269.75, so my advice would be to continue until 70. I like leaving round end points for future searchers that may decide to look for additional factors. But this whole project is so silly that it's pointless to argue anything really makes a difference. Do what you want, just let us know your choice.
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Old 2005-11-10, 10:49   #109
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Final result and end of discussion:

M3321932947 has a factor: 998263250453731877623
M3321932947 no factor from 67.000 bits to 71.000 bits.

Trying to take M3321928373 from 72 to 74 bits.

Carlos

Last fiddled with by em99010pepe on 2005-11-10 at 10:51
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Old 2005-11-10, 14:26   #110
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I'd like to take exponent 3321928307 from 73 to 74.
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