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In this paper, a simple proof that shows that the Somos-5 sequence producesonly natural numbers is given. We also give simple proof that each $a_n$ in theSomos-5 sequence is relatively prime to its four predecessors. The manner inwhich the integrality is proven is taken from the 1992 proof for theintegrality of the Somos-4 sequence by Janice. L. Malouf. The manner in whichit is proven that each $a_n$ is relatively prime to its four predecessors istaken from a paper from Michael J. Crabb, who proved that each $a_n$ in theSomos-5 sequence is relatively prime to its two predecessors.

Simple proof of the integrality of the Somos-5 sequence