The only synthetic elements are the transuranics, which you can google. They are elements heavier than uranium with a higher atomic number than 92. They are all highly radioactive and have half-lives that are short, very short or unbelievably short, and can only be made in nuclear-physics laboratory, not found anywhere on earth.

The chemical elements labeled as synthetic are unstable, with a half-life so short (ranging from a fraction of millisecond to a few million years) relative to the age of the Earth that any atoms of that element that may have been present when the Earth formed have long since completely decayed away. Hence they are only known on Earth as the product of nuclear reactors or particle accelerators. The first synthetic element created was technetium, which filled a gap in the periodic table, and the discovery that there were no stable isotopes of technetium explained its absence on Earth: its 4.2 million year half-life meant that none remained from the time of formation of the Earth. Synthetic elements include: Technetium, atomic number 43 Promethium, atomic number 61 Transuranium elements Neptunium symbol Np, atomic number 93 Plutonium symbol Pu, atomic number 94 Americium symbol Am, atomic number 95 Curium symbol Cm, atomic number 96 Berkelium symbol Bk, atomic number 97 Californium symbol Cf, atomic number 98 Einsteinium symbol Es, atomic number 99 Fermium symbol Fm, atomic number 100 Mendelevium symbol Md, atomic number 101 Nobelium symbol No, atomic number 102 Lawrencium symbol Lr, atomic number 103 Rutherfordium symbol Rf, atomic number 104 Transactinide elements Dubnium symbol Db, atomic number 105 Seaborgium symbol Sg, atomic number 106 Bohrium symbol Bh, atomic number 107 Hassium symbol Hs, atomic number 108 Meitnerium symbol Mt, atomic number 109 Darmstadtium symbol Ds, atomic number 110 Roentgenium symbol Rg, atomic number 111 Provisional names for recently observed synthetic elements: Ununbium symbol Uub, atomic number 112 Ununtrium symbol Uut, atomic number 113 Ununquadium symbol Uuq, atomic number 114 Ununpentium symbol Uup, atomic number 115 Ununhexium symbol Uuh, atomic number 116 Provisional namees for synthetic elements unproven to exist: Ununseptium symbol Uus, atomic number 117 Ununoctium symbol Uuo, atomic number 118

What's the deal with synthetic elements? I was thinking that I might find what are the uses if any of the man-made elements, aside from being a proof that man can produce elements. Gerry

There are no commercial uses for synthetic elements (at least the transuranium ones). They are too unstable and decay within a few seconds (most within milliseconds). The biggest motivation in creating synthetic elements has been to test the hypothesis of the "island of stability". Scientist think that there are some combinations of protons and neutrons which could be relatively stable (wiki "island of stability" for a nice graph). Therefore, these are good experimental tests of our understanding of the strong and weak nuclear forces. It might also enhance our understanding of nuclear fusion and fission processes.