3 papers
math.CO2026
An exact value for the Ramsey number
Vigleik Angeltveit
We compute the exact value of the Ramsey number . It is equal to 30.
math.NT2026
An improved algorithm for checking the Collatz conjecture for all n < 2^N
Vigleik Angeltveit
We describe a new algorithm for verifying the Collatz conjecture for all n < 2^N for some fixed N. The algorithm takes less than twice as long to verify convergence for all n < 2^{…
math.CO2024
R(3,10) <= 41
Vigleik Angeltveit
We improve the upper bound on the Ramsey number R(3,10) from 42 to 41. Hence R(3,10) is equal to 40 or 41.