20080428, 18:47  #1 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT)
5·17·67 Posts 
6 digit numbers and the mersenne numbers
http://www.mersenneforum.org/showthread.php?t=2038
i just found this and thought people might like to try it with the latest mersenne primes how did people do it then 
20080428, 19:11  #2  
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
10AB_{16} Posts 
Quote:
Quote:
There are about 9.81 million six digit sequences in M44. For any particular six digit sequence, we would expect to find it, on average, 9.81 times. From the Poisson approximation, the probabilty of finding that particular sequence zero times is exp(9.81) = 5.49E5. There are 1,000,000 six digit sequences (did you forget 000000?), so the expected number of sequences that do not occur is 1,000,000*5.49E5 = 54.9. With 54.9 expected, it's unlikely the observed number is really zero. Someone would have to run a script to see exactly, but I think it's quite unlikely. 

20080429, 02:05  #3 
"Mike"
Aug 2002
71·107 Posts 

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