Panem rhymes with:
aluminium, aluminum, annum, arcanum, barnum, bonum, branam, brannam, brannum, branum, bucknam, burnam, burnham, bynum, canam, debnam, denham, denim, denomme, dornam, downum, dunham, dunnam, duodenum, farnam, farnham, farnum, granum, greenham, hannam, hannum, interregnum, jeyaretnam, keenum, lanham, lannom, lanthanum, lanum, laudanum, linam, lynam, magnum, menem, mezhdumarodnom, molybdenum, newnam, obshchestvennom, organum, phenom, platinum, plenum, putnam, puttnam, ranum, sonum, steinem, stoneham, swetnam, tottenham, tranum, tympanum, unum, vanname, vanornum, varnum, venom
Panem sounds like:
p.m., pabon, paean, pain, paine, paino, pam, pammy, pan, panam, panama, panamanian, pane, panini, pannone, pannu, panny, paone, papania, papin, papineau, papini, papon, pavon, pavone, pawn, pawnee, pay'n, payan, payin', payna, payne, peine, pen, pena, penh, penman, penn, penna, penney, pennie, penniman, pennino, penny, peon, peony, pepin, peppin, peyman, pham, phan, phen, phenom, phenomena, phenomenon, phinney, phippen, phnom, phone, phoneme, phoney, phony, piana, piano, pima, pimm, pin, pina, pine, pineau, pineo, pinho, pini, pinion, pinn, pinneo, pinney, pinnow, pino, piny, pinyan, pion, pippen, pippin, pm, pneumo, pneumonia, poem, pom, poma, pomona, pon, pony, poon, popham, poppen, ppm, puffin, puma, pun, puny, pymm, pyne