20180101, 13:00  #1 
Dec 2017
110010_{2} Posts 
Finite differences for the win
I don’t think this goes by the rules because I am not making a guess. I just think a good way to find a probable value for p such that M51 = 2^p  1 is as follows:
Arrange in a sequence just like so where would be a prime p for the nth mersenne prime. Then, find the difference between two adjacent pairs of those prime numbers Now apply the same rule to the difference of these prime numbers. Let and then and so on. Now, find the difference between and and find the difference of each adjacent pair of just like what you did with the primes. Keep doing this and eventually you will reach a constant C where the difference between and is 0 because . Now work your way backwards by assuming that if there existed then this process would still reach 0, implying that it reaches C, implying etc... After that, you will reach a value V that is likely to be equal to . Last fiddled with by George M on 20180101 at 13:01 
20180101, 13:41  #2  
Jun 2003
2·7·17·23 Posts 
Quote:
Code:
v=[2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161, 74207281]; polinterpolate(v,,#v+1) Code:
4668069701844879790 Code:
v=[37156667, 42643801, 43112609, 57885161, 74207281]; polinterpolate(v,,#v+1) Code:
47248547 Last fiddled with by axn on 20180101 at 13:45 Reason: No > Now 

20180101, 21:37  #3 
"Serge"
Mar 2008
San Diego, Calif.
101×103 Posts 
Oh no, this curve is definitely coming down. Deja vu all over again.

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Unit Differences for Primality Proving  Trejack  Miscellaneous Math  11  20160512 04:15 
Finite prime zeta?  CRGreathouse  Math  3  20090529 20:38 
What are the differences of the Linux prime files?  nekketsu  Information & Answers  1  20071216 09:13 
Differences between LLR versions  MooMoo2  Riesel Prime Search  6  20060927 18:51 
Are there any speed differences between various OS's  koekie  Software  8  20030201 21:41 