A Cunningham number is a binomial number of the form C^±(b, n) congruent b^n ± 1 with b>1 and n positive integers. Bases b^k which are themselves powers need not be considered since they correspond to (b^k)^n ± 1 = b^(k n) ± 1. Prime numbers of the form C^±(b, n) are very rare. A necessary (but not sufficient) condition for C^+(2, n) = 2^n + 1 to be prime is that n be of the form n = 2^m. Numbers of the form F_m = C^+(2, 2^m) = 2^(2^m) + 1 are called Fermat numbers, and the only known primes occur for C^+(2, 1) = 3, C^+(2, 2) = 5, C^+(2, 4) = 17, C^+(2, 8) = 257, and C^+(2, 16) = 65537 (i.e., m = 0, 1, 2, 3, 4). The only other primes C^+(b, n) for nontrivial b<=11 and 2<=n<=1000 are C^+(6, 2) = 37, C^+(6, 4) = 1297, and C^+(10, 2) = 101.
We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.
Club Z! has connected me with a tutor through their online platform! This was exactly the one-on-one attention I needed for my math exam. I was very pleased with the sessions and ClubZ’s online tutoring interface.
My son was suffering from low confidence in his educational abilities. I was in need of help and quick. Club Z! assigned Charlotte (our tutor) and we love her! My son’s grades went from D’s to A’s and B’s.
I’ve been using Club Z’s online classrooms to receive some help and tutoring for 2 of my college classes. I must say that I am very impressed by the functionality and ease of use of their online App. Working online with my tutor has been a piece of cake. Thanks Z.
Jonathan is doing really well in all of his classes this semester, 5 A’s & 2 B’s (he has a computer essentials class instead of PLC). In his Algebra class that Nathan is helping him with he has an A+.
Sarah is very positive, enthusiastic and encourages my daughter to do better each time she comes. My daughter’s grade has improved, we are very grateful for Sarah and that she is tutoring our daughter. Way to go ClubZ!
