Antimigraine 8-[3-(4-aminocarbonyl piperazino and piperidino) propyl[xanthines

A compound selected from the group consisting of xanthine compounds of the formula:

• ##STR12## in which:
• R.sub.1 is selected from the group consisting of hydrogen and (C.sub.1 -C.sub.5) alkyl, in straight and branched chain;
• R.sub.2 is selected from the group consisting of hydrogen, (C.sub.1 -C.sub.5) alkyl radicals in straight and branched chain and these radicals having a double bond, and benzyl
• R.sub.3 is selected from the group consisting of hydrogen and methyl;
• A is selected from the group consisting of polymethylene chains (CH.sub.2).sub.n in which n is an integer from 1 to 4 inclusive, and such chains substituted, when n is higher than 1, by hydroxy;
• X is selected from the group consisting of nitrogen and ##STR13## the substituents R are each selected from the group consisting of alkyl radicals having from 1 to 5 carbon atoms inclusive or are joined together in order to form with the nitrogen atom to which they are bonded a piperidino or morpholino radical;
• and, physiologically tolerable acid addition salts thereof.