The invention relates to compounds of general formula (I): CH3—(CH═CH)n—R (I) wherein n=3, 5, 7; R is selected from —CO—OR′, —CO—O(−), or —CH2—O—CO—R′, R′ being selected from H, C1-C22 alkyl or alkenyl.aryl or aralkyl, or sugars; with the proviso that when R is —CH2—O—CO—R′ and R′ alkyl, said alkyl being selected from C1 to C11; and pharmaceutically acceptable salts thereof, preferably such as sodium, potassium, lysine salts, each compound of general formula (I) being used as such or in admixture with one or more of the other ones, for use in the prevention or treatment of skin cancer resulting from DNA damage produced by UV radiation.