mersenneforum.org > Math 6 digit numbers and the mersenne numbers
 Register FAQ Search Today's Posts Mark Forums Read

 2008-04-28, 18:47 #1 henryzz 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
2008-04-28, 19:11   #2
Mini-Geek
Account Deleted

"Tim Sorbera"
Aug 2006
San Antonio, TX USA

10AB16 Posts

Quote:
 Originally Posted by henryzz 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
Quote:
 There are about 6.32 million six digit sequences in M40. For any particular six digit sequence, we would expect to find it, on average, 6.32 times. From the Poisson approximation, the probabilty of finding that particular sequence zero times is exp(-6.32) = 0.0018. 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*0.0018 = 1800. With 1800 expected, it's very unlikely the observed number is really zero.
With the numbers exchanged with the newest, that means...

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) = 5.49E-5. 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*5.49E-5 = 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.

 2008-04-29, 02:05 #3 Xyzzy     "Mike" Aug 2002 71·107 Posts

 Similar Threads Thread Thread Starter Forum Replies Last Post ChristianB Aliquot Sequences 16 2014-05-16 06:56 lavalamp GMP-ECM 8 2008-03-30 14:18 T.Rex Math 4 2005-05-07 08:25 TTn 15k Search 4 2004-08-21 18:20 Sykes1024 Math 7 2004-02-10 09:43

All times are UTC. The time now is 10:14.

Tue Aug 11 10:14:20 UTC 2020 up 25 days, 6:01, 1 user, load averages: 1.71, 1.67, 1.70