ZarankiewiczDB,

an online database of Zarankiewicz numbers.

Bound for z(14,29)

Searching for matrices of weight greater than 87, all but 2 scaffolds were eliminated without search.

Scaffold: $p = 6$, $q = 2$, $\mathbf{m} = (2,2,2,2,2,1)$, $\mathbf{n} = (6,6)$, $m_O = 0$, $n_O = 10$.

(111.32385244 seconds, score = 0, 1874616 recursive calls, max depth = 44)

Scaffold: $p = 6$, $q = 2$, $\mathbf{m} = (2,2,2,2,2,1)$, $\mathbf{n} = (6,5)$, $m_O = 0$, $n_O = 11$.

(992.055214053 seconds, score = 0, 17033070 recursive calls, max depth = 46)

upper bound = 87, submitted by Andrew Kay on July 26th, 2016 (link)