# Landman, Bruce M.

## 3-accessibility of Fibonacci numbers ★★

**Question**Is the set of Fibonacci numbers 3-accessible?

Keywords: Fibonacci numbers; monochromatic diffsequences

## 2-accessibility of primes ★★

**Question**Is the set of prime numbers 2-accessible?

Keywords: monochromatic diffsequences; primes

## Concavity of van der Waerden numbers ★★

Author(s): Landman

For and positive integers, the (mixed) van der Waerden number is the least positive integer such that every (red-blue)-coloring of admits either a -term red arithmetic progression or an -term blue arithmetic progression.

**Conjecture**For all and with , .

Keywords: arithmetic progression; van der Waerden

## The large sets conjecture ★★★

Author(s): Brown; Graham; Landman

**Conjecture**If is 2-large, then is large.

Keywords: 2-large sets; large sets