He kept his mathematical friendship with Beaugrand after he moved to Toulouse but there he gained a new mathematical friend in Carcavi . Fermat met Carcavi in a professional capacity since both were councillors in Toulouse but they both shared a love of mathematics and Fermat told Carcavi about his mathematical discoveries.
Siya iningatan ang kanyang matematiko friendship sa Beaugrand matapos siya inilipat sa Toulouse ngunit may nagkamit siya ng isang bagong kaibigan sa matematika Carcavi. Fermat matugunan Carcavi sa isang propesyonal na kapasidad dahil pareho ay councillors sa Toulouse ngunit sila ay parehong-share ng isang pag-ibig ng matematika at Fermat Sinabi Carcavi tungkol sa kanyang mga matematiko discoveries.