Referee's report by Henry John Stephen Smith, on a paper 'On Fermat’s theorem of the polygonal numbers, with supplement' by Jonathan Frederick Pollock Not recommended for publication in the 'Philosophical Transactions of the Royal Society'. The results and conclusions of the current paper appear to have been published previously by the same author ['On Fermat's theorem of the polygonal numbers', Philosophical Transactions, Vol.151, 1861, doi:10.1098/rstl.1861.0022]. Subject: Mathematics [Published in the Proceedings of the Royal Society of London, 1864] 14 October 1863