Submissions that were considered to be of the best quality and insight were published by the Paris Academy. Fifteen of Euler's pieces for the Paris prize competition were published between 1727 and 1772; these are listed below.
Publications from 1728
Publications from 1739
E34: Dissertatio de igne in qua ejus natura et proprietates explicantur
Publications from 1741
E57: Inquisitio physica in causam fluxus ac refluxus maris
Publications from 1745
E78: Dissertation sur la meilleure construction du cabestan
Publications from 1748
E108: De observatione inclinationis magneticae dissertatio
E109: Dissertatio de magnete
Publications from 1749
E120: Recherches sur la question des inégalités du mouvement de Saturne et de Jupiter
Publications from 1750
E150: Meditationes in quaestionem observationibus temporis momentum determinandi
Publications from 1769
E384: Recherches sur les inégalités de Jupiter et de Saturne
Publications from 1771
E414: Investigatio perturbationum quibus planetarum motus ob actionem eorum mutuam afficiuntur.
E415: Sur le roulis et le tangage
Publications from 1777
E485: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1770
E486: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1772