CL65 CREW HAD REPEATED EGPWS WARNINGS ON THE ILS RWY 33 APCH AT BGR.

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WE APCHED BGR FROM THE SW; VECTORED FOR THE ILS RWY 33 ON OR ABOUT A 080 DEG HDG; LEVEL AT 3000 FT MSL. APCH CHKLIST WAS COMPLETE; ALTIMETERS WERE PROPERLY SET. THERE WAS SOMEWHAT LIMITED DOWNWARD VISIBILITY; OTHERWISE WE WERE IMC IN CLOUDS AND SNOW; SMOOTH AIR; WING AND COWL ANTI-ICE ON; BUT NEGATIVE AIRFRAME ICING. WITH GEAR UP; SLAT/FLAPS 20 DEGS AT APPROX 185 KIAS; ATC TURNED US ONTO THE LOC 5 MI FROM TOTTE LOM. AUTOPLT CAPTURED LOC NORMALLY; BUT AS THE CAPTURE COMPLETED AND WINGS WERE ROLLING LEVEL; A GPWS AURAL 'TERRAIN; TERRAIN' ALERT SOUNDED; AND THE GND PROX SWITCH/LIGHT FLASHED; OCCURRING 2 OR 3 TIMES AS WE TRACKED THE LOC; STILL LEVEL AT 3000 FT. MSA ON APCH CHART WAS 3100 FT. ABOUT 2-3 MI OUTSIDE THE LOM; THE AURAL 'WHOOP; WHOOP; PULL UP' SOUNDED AND THE PULL UP SWITCH/LIGHT FLASHED. AUTOPLT WAS DISENGAGED AND A CFIT/GAR MANEUVER WAS PERFORMED; THE ACFT REACHING A MAX OF 4100 FT. ATC WAS INFORMED OF THE MANEUVER; AND RESPONDED THAT THE SAME THING HAD HAPPENED AT THAT LOCATION TO OTHER FLTS IN THE PAST. WE VERIFIED OUR ALTIMETER SETTING WITH ATC AND WAS STILL THE SAME AS ATIS HAD RPTED. ATC VECTORED US IN R TFC FOR THE SAME APCH AGAIN; THIS TIME RECEIVING 2 OR 3 'TERRAIN; TERRAIN' ALERT AURALS IN ROUGHLY THE SAME LOCATION LEVEL AT SAME ALT; BUT NO 'WHOOP; WHOOP; PULL UP' SOUNDED. THIS SECOND APCH ATTEMPT WAS OTHERWISE NORMAL AND WAS COMPLETED SUCCESSFULLY. DURING THE FIRST APCH ATTEMPT'S SERIES OF GPWS ACTIVATIONS; THE TAD (TERRAIN AWARENESS DISPLAY) DID NOT AUTOMATICALLY POP-UP AS WE WOULD'VE EXPECTED. PRIOR TO THE SECOND APCH; MY FO; WHO WAS PF; MANUALLY SELECTED TAD WHILE I MONITORED RADIO ALTIMETER CLOSELY. THE TAD SHOWED A SMALL SOLID GREEN CIRCULAR AREA; SURROUNDED BY GREEN DOTS; SURROUNDED BY BLACK. THE RADIO ALTIMETER WAS FLUCTUATING RAPIDLY WITHIN A NARROW RANGE; MAKING IT HARD TO READ WITH NUMBERS SUPERIMPOSED ON TOP OF EACH OTHER; BUT I INTERPRETED VALUES BTWN 1430-1480 FT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE CREW RPTED THE INCIDENT TO THE COMPANY. THEY IN TURN RPTED IT TO THE EGPWS VENDOR. THE VENDOR DID A EGPWS READOUT. BY THE TIME THE VENDOR DID THE READOUT ALL INFO HAD BEEN ERASED. THE CREW LISTED A DISCREPANCY IN THE MAINT LOGBOOK. MAINT DID A SELF TEST; AND NO PROB WAS FOUND.