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{\bf Adam Wolfe}
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{\bf 5-sparse Steiner Triple Systems of Order $n$ Exist for Almost All Admissible $n$}
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Steiner triple systems are known to exist for orders $n \equiv 1,3$
mod $6$, the admissible orders. There are many known constructions for
infinite classes of Steiner triple systems. However, Steiner triple
systems that lack prescribed configurations are harder to find. This
paper gives a proof that the spectrum of orders of 5-sparse Steiner
triple systems has arithmetic density $1$ as compared to the
admissible orders.

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