2001 buick century no crank no start

ok so i have the century 2001 have replaced starter about 4 mos ago all was good till thurs came olut of a store went to start it nothing no click no turn towed home battery good replaced nss still wont crank or start all fuses look good im stumped please help i should add that when i try n jump the starter cross ign wire to start wire the vehicle will start n run for about 5 seconds when i remove the jump wire it stalls
and per ur suggestions for faster bhelp it is a 2001 buick century custom 3.4 ltr 6 cyl engine