login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Smallest positive m such that gcd(2^m-3,3^m-2) has a prime divisor A196627(n).
2

%I #14 Jan 04 2018 15:54:27

%S 3,3783,712999,49917253,136990592551,7248859698551,59868530942221,

%T 4656948575329

%N Smallest positive m such that gcd(2^m-3,3^m-2) has a prime divisor A196627(n).

%C Terms corresponding to large terms of A196627: 98094352361503, 1857852631158188383144, 61512962997290050622501, 52562720950794975283168567, 4014260345679275427187521366, 534798197159783071320442036049, 5184100446504760872368997541979245, 58816866228485537800474853024132386, 1849888032222116576474743304081139265, 90975863449090968810811203864826789811575855795214739996300735537197. (may not be in order)

%H A. S. Izotov, <a href="http://www.fq.math.ca/Papers1/43-2/paper43-2-6.pdf">On prime divisors of GCD(3^n-2,2^n-3)</a>, Fibonacci Quarterly 43, May 2005, pp. 130-131.

%Y Cf. A109768

%K nonn,hard,more

%O 1,1

%A _Max Alekseyev_, Oct 04 2011