AN SF340 FLT CREW EXPERIENCED FLAP MASTER CAUTION WARNING. THEY RAN THE PROCEDURE; ATTEMPTED TO CONTACT DISPATCH WITH NO LUCK; AND DIVERTED TO AN APPROPRIATE AIRPORT.

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WHILE FLYING FROM ZZZ TO ZZZ1 ON FLT X (SEP/XA/08); WE RECEIVED A MASTER CAUTION FLAP INDICATION IN THE COCKPIT. WE WERE LEVEL AT 17000 FT NEAR THE XXX VOR. WE RAN THE QRH AND FOUND THE GREEN FLAP LIGHT 'ON' ON THE TEST 1 PANEL; SPLIT FLAP INDICATION BY 2-3 DEGS (R INDICATOR DOWN). AFTER A FEW MINS; THE INDICATIONS WENT AWAY. PER THE QRH; WE CALCULATED LNDG SPDS AND DISTANCES. WE NEEDED 5100 FT AND ZZZ2 HAD 6500 FT. WE TURNED OFF THE AUTOPLT AND THE ACFT HAD NO CTL ISSUES. WE CONTINUED OUR FLT TO ZZZ2 WHILE TRYING TO CONTACT DISPATCH. WE RECEIVED NO REPLY. NEAR ZZZ3 WE DSNDED TO 11000 FT AND WE RECEIVED A MASTER CAUTION FLAP INDICATION IN THE COCKPIT AGAIN. WE RAN THE QRH AND FOUND THE GREEN FLAP LIGHT 'ON' ON THE TEST 1 PANEL; SPLIT FLAP INDICATION BY 3-5 DEGS (R INDICATOR DOWN). THIS WENT AWAY AGAIN BEFORE LNDG. WE TRIED CONTACTING DISPATCH THROUGH ZZZ3 OPS; BUT THEY COULD NOT CONNECT US. WE FINALLY WERE ABLE TO CONTACT ZZZ2 OPS AND THEY WERE ABLE TO CONNECT US WITH DISPATCH. DISPATCH COULD NOT UNDERSTAND OUR XMISSION AND AFTER 1 MIN WE LOST CONTACT AGAIN WITH DISPATCH. AFTER THE SECOND MASTER CAUTION FLAP INDICATION; WE INFORMED ATC OF OUR SITUATION AND THAT WE WERE TRYING TO GET OUR DISPATCH ON THE RADIO. WE ASKED ATC FOR RWYS' LENGTHS AND FREQS FOR ZZZ3. ZZZ3 WAS USING RWY X WHICH IS 8500 FT LONG. SINCE WE WERE DOING A NO-FLAP LNDG AND DID NOT KNOW THE NATURE OF OUR PROB; I DECIDED THE SAFEST COURSE WAS TO DIVERT TO ZZZ3; WHERE WE HAD 2000 MORE FT OF RWY; A CTL TWR; AND MORE EMER PERSONNEL. WE LANDED AT ZZZ3 WITHOUT INCIDENT.