Solution - Georg Mohr
... solved exactly 5 problems. If 2 n + 1 is not divisible by 5, then we can in the above argument by 2 n+2 and this will imply that 4c ≥ 6 replace 2 n+1 ...
... solved exactly 5 problems. If 2 n + 1 is not divisible by 5, then we can in the above argument by 2 n+2 and this will imply that 4c ≥ 6 replace 2 n+1 ...
Full text
... Conjecture 1: All Fermat primes are vertices in G2. This is a very safe conjecture, for it is almost certain that the only Fermat primes are 3, 5, 17, 257, and 65537, which can be verified to be in G2. Furthermore, any Fermat prime will have the correct parity. The first three primes show up quickly ...
... Conjecture 1: All Fermat primes are vertices in G2. This is a very safe conjecture, for it is almost certain that the only Fermat primes are 3, 5, 17, 257, and 65537, which can be verified to be in G2. Furthermore, any Fermat prime will have the correct parity. The first three primes show up quickly ...
Slide 1
... • It’s like someone speaking Spanish and someone else speaking English. No. No. They all must speak the same language. “Multiples of 2 and 3” ...
... • It’s like someone speaking Spanish and someone else speaking English. No. No. They all must speak the same language. “Multiples of 2 and 3” ...
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called ""Half Or Triple Plus One"", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness.Paul Erdős said about the Collatz conjecture: ""Mathematics may not be ready for such problems."" He also offered $500 for its solution.