4 citations · 16 across the 28 of their papers we have counts for
4 papers · 1 filter
Arithmetic Progressions of Length Three in Multiplicative Subgroups of
Jeremy F Alm
In this paper, we give an algorithm for detecting non-trivial 3-APs in multiplicative subgroups of that is substantially more efficient than the naive approac…
2-Free Tetranacci Sequences
Jeremy F. Alm, Taylor Herald, Ellen Rammelkamp Miller +1
We consider a variant on the Tetranacci sequence, where one adds the previous four terms, then divides the sum by two until the result is odd. We give an algorithm for constructing…
401 and beyond: improved bounds and algorithms for the Ramsey algebra search
Jeremy F. Alm
In this paper, we discuss an improvement of an algorithm to search for primes and coset-partitions of Z/pZ* that yield Ramsey algebras over Z/pZ. We also prove an upper bound o…
A Note on Prime Fibonacci Sequences
Jeremy Alm, Taylor Herald
In this paper, we define a variant of Fibonacci-like sequences that we call prime Fibonacci sequences, where one takes the sum of the previous two terms and returns the smallest od…