Two Dorchester men were sentenced to jail yesterday after juries in their separate cases convicted them of firearms offenses in the Suffolk County Gun Court, District Attorney Daniel F. Conley said.

TREON MAYERS (D.O.B. 11/28/83) was sentenced to two years in the House of Correction to be followed by four years of probation. HAKEEM COLEMAN (D.O.B. 5/29/78) was sentenced to two and a half years in the House of Correction and a second two-and-a-half-year term that will be suspended for six and a half years.

“If you’re caught with an unlicensed firearm, you’re going to jail,” Conley said. “There’s no other result.”

In a two-day trial before Judge Mark Hart Summerville, Assistant District Attorney Lauren Bernath Moore of Conley’s Gun Prosecution Task Force proved that Mayers was carrying a .22 caliber Tanfoglio E-15 revolver when Boston Police responded to a call for a person with a gun on Stockton Street last summer.

When the officers approached Mayers on the night of Aug. 4, he began running with his hands at his waistband. The officers recognized this from their training as one of the characteristics of an armed gunman. The officers saw his hand go into the air as he fled down a driveway and into an adjacent back yard, only to be apprehended a few blocks away.

When officers retraced his path of flight, they found the firearm fully loaded with its hammer cocked. Officers deployed a thermal imaging device, which records heat output the way a conventional camera records light: when pointed at the firearm, it showed the carrier’s body heat still retained in its metal frame, suggesting that it been carried very recently.

In separate proceedings before Judge Sally Kelly, Assistant District Attorney Nicole Rimar, also of the GPTF, proved that Coleman was driving his fiancée’s car with a suspended license and broken tail and brake lights just before 1:00 a.m. on Sept. 18, 2009.

When Boston Police stopped the car for the light violations and prepared to tow it in light of Coleman’s suspended license, Coleman became nervous. When an officer performed an inventory search, he recovered a loaded 9mm Hi-Point Luger in the unlocked glove compartment and Coleman was arrested.

Coleman’s fiancée later testified that she had removed her iPod from the glove compartment before letting him use the car, and that there was no firearm in it at that time.

The Gun Prosecution Task Force fast tracks cases of unlawful firearm possession from across the city into specialized sessions in the Boston Municipal Court. In the five years since its inception, the GPTF has eliminated a large backlog of pending cases and reduced the average time between arraignment and disposition by more than half.