This website provides many evidences to prove the divinity of Caitanya Mahaprabhu.
Verse from Padma purana:
yatrayogesvarah saksad yogi-cintyo janardanah caitanya vapur aste vai sandranandatmakah
kaleh prathama-sandhyayam gaurangotham mahi-tale bhagirathi-tate ramye bhavisyami saci-sutah
Meaning: The Supreme Personality, Janardana, who is the object of the yogis' meditation, who saves the devotees from various sufferings, and who is the master of all yogic practices, who is always full of divine transcendental ecstasy and bliss, will advent in His own divine form of Sri Caitanya.
I shall appear on this earth in the first part of Kali-yuga in a beautiful place on the bank of the Bhagirathi. I shall have a golden form, and I shall take birth as the son of Saci.
and from Narasimha purana:
satye daitya-kuladhi-nasa-samaye simhordhva-martyakrtis tretayam dasa-kandharam paribhavan rameti namakrtih gopalan paripalayan vraja-pure bharam haran dvapare gaurangah priya-kirtanah kali-yuge caitanya-nama prabhuh
Meaning: The Supreme Personality of Godhead who in the Satya-yuga appeared as a half-man, half-lion to cure a terrible disease that had ravaged the daityas, and who in the Treta-yuga appeared as a person named Rama (Lord Ramacandra), a person who defeated the ten- headed Demon Ravana, and who in the Dvapara-yuga removed the earth's burden, and protected the Gopa (cowherd men) people of Vraja-pura, will appear again in the Kali-yuga. His form will be golden, He will delight in chanting the Lord's holy names, and His name will be Caitanya.
However, the above highlights explicitly use the word Chaitanya but that site didn't give exact verse number. So, Which verse of Padma purana and Narasimha purana claims Chaitanya Mahaprabhu is Krishna/Vishnu Himself?