Sri Caitanya Mahaprabhu predicted

Sruti: (alphabetic order)

ito 'ham krta-sannyaso 'vatarisyami sa-guno nirvedo
niskamo bhu-girbanas
tira-stho 'lakanandayah kalau catuh-sahasrabdhopari
panca-sahasrabhyantare gaura-varno dirghangah
sarva-laksana-yukta
isvara-prarthito nija-rasasvado bhakta-rupo
misrakhyo vidita-yogah syam

"Towards the end of the period between four-thousand to five thousand years in Kali-yuga, I will descend on the earth as Gauranga, a golden-complexioned saintly brahmana in a place by the Ganges' shore and later become the crest-jewel of all sannyasis, exhibiting all My transcendental qualities including supreme renunciation and complete detachment from material desires. In the form of Lord Gauranga, I will display all the thirty-two bodily symptoms of a great personality with my arms extending to my knees. I will become my own devotee, very advanced in bhakti-yoga and teach the worship of Lord Krsna (Myself) by the chanting of My own holy names and relishing the mellows of My own devotional service. At that time only My most confidential devotees will be able to understand Me." (Atharva Veda, third khanda, Brahma-vibhaga)

Caitanya Upanisad of Atharva Veda (the whole text of 19 verses, appears to be lost)

atra brahma-puram nama
pundarikam yad ucyate
tad evasta-dalam padma
sannibham puram adbhutam

In that place [where Sri Caitanya appears] is a wonderful city like an eight-petal lotus flower. (commentary of Bhaktivinoda Thakura on Chandogya Upanisad 8.1.1 of Sama Veda)

tan-madhye daharam saksat
mayapuramitiryate
tatra vesma bhagavatas
caitanyasya paratmanah
tasmin yas tv 'antarakaso
hy antar-dvipah sa ucyate

In the middle of that lotus-city is a place called Mayapura, and in the middle of Mayapura is a place called Antardvipa. That place is the home of Lord Caitanya, the Supreme Personality of Godhead. (commentary of Bhaktivinoda Thakura on Chandogya Upanisad 8.1.2)

sa eva bhagavan yuge turiye 'pi brahma-kule
jayamanah sarva upanisadah uddidirsuh
sarvani dharma-astrani vistarayisnuh sarvan
api janan santarayisnuh sarvan api vaisnavan
dharman vijrimbhayan sarvan api pasandan nicakhana

In the Kali-yuga, Supreme Lord will appear in a brahmana's family. He will teach the message of the Upanisads and the dharma-sastras. He will defeat the atheists and offenders and He will establish the truth of Vaisnava-dharma. (Krsna Upanisad 2.6, confirmed editions: The Vaisnava Upanishads English Translation (Ramanathan)

mahan prabhur vai purusah
sattvasyaisa pravartakah
sunirmalam imam praptim
isano jyotir avyayah

The Supreme Personality of Godhead is Mahaprabhu [Lord Caitanya], who disseminates transcendental enlightenment. Just to be in touch with Him is to be in contact with the indestructible brahmajyoti. (Svetasvatara Upanisad 3.12 of Yajur Veda)

Smrti:

ittham nr-tiryag-rsi-deva jhasavatarair
lokan vibhavayasi hamsi jagat pratipan
dharmam maha-purusa pasi yuganuvrttam
channah kalau yad abhavas tri-yugo 'tha sa tvam

In this way, my Lord, You appear in various incarnations as a human being, an animal, a great saint, a demigod, a fish or a tortoise, thus maintaining the entire creation in different planetary systems and killing the demoniac principles. According to the age, O my Lord, You protect the principles of religion. In the age of Kali, however, You do not assert Yourself as the Supreme Personality of Godhead, and therefore You are known as Triyuga, or the Lord who appears in three yugas. (Srimad-Bhagavatam 7.9.38, Prahlada Maharaja speaks to Lord Nrsimhadeva)

asan varnas trayo hy asya
grhnato 'nuyugam tanuh
suklo raktas tatha pita
idanim krsnatam gatah

This boy [Krsna] has three other colors - white, red and yellow - as He appears in different ages. Now He has appeared in a transcendental blackish color. (Srimad-Bhagavatam 10.8.13, Gargamuni speaks to Nanda Maharaja)

krsna-varnam tvisakrsnam
sangopangastra-parsadam
yajnaih sankirtana-prayair
yajanti hi su-medhasah

In the age of Kali, intelligent persons perform congregational chanting to worship the incarnation of Godhead who constantly sings the name of Krsna. Although His complexion is not blackish, He is Krsna Himself. He is accompanied by His associates, servants, weapons and confidential companions. (Srimad-Bhagavatam 11.5.32, Karabhajana Muni speaks to King Nimi)

dhyeyam sada paribhava-ghnam abhista-doham
tirthaspadam siva-virinci-nutam saranyam
bhrtyarti-ham pranata-pala bhavabdhi-potam
vande maha-purusa te caranaravindam

My dear Lord, You are the Maha-purusa, the Supreme Personality of Godhead, and I worship Your lotus feet, which are the only eternal object of meditation. Those feet destroy the embarrassing conditions of material life and freely award the greatest desire of the soul, the attainment of pure love of Godhead. My dear Lord, Your lotus feet are the shelter of all holy places and of all saintly authorities in the line of devotional service and are honored by powerful demigods like Lord Siva and Lord Brahma. My Lord, You are so kind that You willingly protect all those who simply bow down to You with respect, and thus You mercifully relieve all the distress of Your servants. In conclusion, my Lord, Your lotus feet are actually the suitable boat for crossing over the ocean of birth and death, and therefore even Lord Brahma and Lord Siva seek shelter at Your lotus feet. (Srimad-Bhagavatam 11.5.33)

tyaktva su-dustyaja-surepsita-rajya-laksmim
dharmistha arya-vacasa yad agad aranyam
maya-mrgam dayitayepsitam anvadhavad
vande maha-purusa te caranaravindam

O Mahapurusa, I worship Your lotus feet. You gave up the association of the goddess of fortune and all her opulence, which is most difficult to renounce and is hankered after by even the great demigods. Being the most faithful follower of the path of religion, You thus left for the forest in obedience to a brahmana's curse. Out of sheer mercifulness You chased after the fallen conditioned souls, who are always in pursuit of the false enjoyment of illusion, and at the same time engaged in searching out Your own desired object, Lord Syamasundara. (Srimad-Bhagavatam 11.5.34)

prasantatma lamba-kanthas
gaurangas ca suravrtah

The Supreme Personality of Godhead will come in a golden form, full of peace, and a beautiful long neck. He will be surrounded by many saintly devotees. (Agni Purana)

anadasru-kala-roma
harsa-purnam tapo-dhana
sarve mam eva draksyanti
kalau sannyasa-rupinam

O sage whose wealth is austerity, in the Kali-yuga everyone will see My form as a sannyasi, a form filled with tears of bliss and bodily hairs standing erect. (Bhavisya Purana)

kaleh prathama-sandhyayam
gaurango 'ham mahi-tale
bhagirathi-tate bhumni
bhavisyami sanatanah

In the first sandhya of the Kali-yuga I will reveal My eternal golden form by the Ganges' shore on the earth. (Brahma Purana)

nama-siddhanta-sampati
prakasana-parayanah
kvacit sri-krsna-caitanya
nama loke bhavisyati

The Supreme Personality of Godhead will again appear in this world. His name will be Sri Krsna Caitanya and He will spread the chanting of the Lord's holy names. (Devi Purana)

yad gopi-kuca-kumbha-sambhrama-bhara-
rambhena samvardhitah yad va gopa-kumara-
sara-kalaya range subhandi-krtam yad
vrndavana-kanane pravilasac chridama-
damadibhis tat prema-pradatam cakara
bhagavan caitanya-rupah prabhuh

The Supreme Personality of Godhead, Who enjoyed glorious pastimes with Sridama, Dama, and other gopa boys in Vrndavana forest, and Whose eyes glanced at the gopis' breasts, will again come to this world to reveal the nature of pure spiritual love. At that time His name will be Caitanya. (Garuda Purana)

yo reme saha-ballavi ramayate vrndavane
'har-nisam yah kamsam nijaghana kaurava-
rane yah pandavanam sakha so 'yam vainava-
danda-mandita-bhutah sannyasa-vesah sva-
yam nihsandedham upagatah ksiti-tale
caitanya-rupah prabhuh

The Supreme Personality of Godhead, Who enjoyed pastimes with the gopis, Who day and night filled the people of Vrndavana with happiness, Who killed Kamsa, and Who in the war between the Kauravas made friendship with the Pandavas, will come again to the earth. Of this there is no doubt. His arm decorated with a bamboo danda, He will be a sannyasi and his name will be Caitanya. (Garuda Purana)

kalina dahyamananam
paritranaya tanu-bhrtam
janma prathama-sandhyayam
karisyami dvijatisu

To deliver the conditioned souls burning in the trouble of Kali-yuga, in the first sandhya of that age I will take birth among the Brahmanas. (Garuda Purana)

aham purno bhavisyami
yuga-sandhau visesatah
mayapure navadvipe
bhavisyami saci-sutah

In My original spiritual form, perfect and complete, I will become the son of Sacidevi in Navadvipa-Mayapura at the beginning of Kali-yuga. (Garuda Purana)

kaleh prathama-sandhyayam
laksmi-kanto bhavisyati
daru-brahma-samipa-sthah
sannyasi gaura-vigrahah

In the first sandhya of Kali-yuga, the Supreme Personality of Godhead will assume a golden form. First He will be the husband of Laksmi, and then He will be a sannyasi who stays near Lord Jagannatha at Puri. (Garuda Purana)

kalina dahyamanam
uddhararaya tanu-bhrtam
janma prathama sandhyayam
bhavisyati dvijalaye

The Supreme Person will appear in the first part of the age of Kali. He will appear in the home of a brahmana, to save the embodied conditioned souls burning in the troubles of Kali-yuga. (Kurma Purana)

suvarna-varno hemango
varangas candanangadi
sannyasa-krc chamah santo
nistha-santi-parayanah

In His early pastimes He appears as a householder with a golden complexion. His limbs are beautiful, and His body, smeared with the pulp of sandalwood, seems like molten gold. In His later pastimes He accepts the sannyasa order, and He is equipoised and peaceful. He is the highest abode of peace and devotion, for He silences the impersonalist nondevotees. (Mahabharata 13.135.92 (line 1-2), 13.135.75 (line 3-4) - Visnu sahasra nama)

golokam ca parityajya
lokanam trana-karanat
kalau gauranga-rupena
lila-lavanya-vigrahah

In the Kali-yuga, I will leave Goloka and to save the people of the world, I will become the handsome and playful Lord Gauranga. (Markandeya Purana)

mundo gaurah su-dirghangas
tri-srotas-tira-sambhavah
dayaluh kirtana-grahi
bhavisyami kalau-yuge

In the age of Kali, I shall advent where the three rivers meet. I shall have a shaven head. I shall have a golden complexion. I will be very kind and always chant the holy name of Krsna. (Matsya Purana)

bhakti-priyo bhakti-data, damodara ibhas-patih
indra-darpa-haro 'nanto, nityananda-cid-atmakah

The Supreme Personality of Godhead is known by the names Bhakti-priya, Bhakti-data, Damodara, Ibhas-pati, Indra-darpa-hara, Ananta, Nityananda-cid-atmaka. (Narada-pancaratra, Bala-Krsna- sahasra-nama-stotra)

divija bhuvi jayadhvam
jayadhvam bhakta-rupinah
kalau sankirtanarambhe
bhavisyami saci-sutah

O divija (demigods), please come and advent as devotees on this earth in the age of Kali. I will incarnate as the son of Saci to inaugurate the congregational chanting of the name of Krsna. (Narada Purana)

aham eva kalau vipra (or dvijasresthah)
nityam pracchanna-vigrahah
bhagavad-bhakta-rupena
lokam raksami sarvada

O brahmana, in the age of Kali I will appear disguised as a devotee of the Lord and I will deliver all the worlds. O demigods, in the Kali-yuga please take birth as devotees on the earth. I will appear as the son of Saci in the Kali-yuga to start the sankirtana movement. (Narada Purana)

satye daitya-kuladhi-nasa-samaye simhor-
dhva-martyakrtis trtayam dasa-kandharam
paribhavan rameti namakrtih gopalan
paripalayan vraja-pure bharam haran
dvapare gaurangah priya-kirtanah kali-yuge
caitanya-nama prabhuh

The Supreme Personality of Godhead, Who in the Satya-yuga appeared as a half-man half-lion to cure a terrible disease that has ravaged the daityas, and Who in Treta-yuga appeared as a person named Rama, a person who defeated the ten-headed demon Ravana, and Who in the Dvapara-yuga removed the earth's burden and protected the gopa 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 Caitanya. (Nrsimha Purana)

kaleh prathama-sandhyayam
gaurango 'ham mahi-tale
bhagirathi-tate ramye
bhavisyami saci-sutah

In the first sandhya of Kali-yuga I will appear on the earth in a beautiful place by the Ganges' shore. I will be the son of Sacidevi and My complexion will be golden. (Padma Purana)

yatra yogesvarah saksad
yogi-cintyo janardanah
caitanya-vapur aste vai
sandranandatmakah prabhuh

The Supreme Personality of Godhead, Who is filled with bliss, Who rescues the devotees from a host of calamities, and Who is the master of yoga and the object of the yogis' meditation, will appear in His transcendental form and will be known by the name Caitanya. (Padma Purana)

antah-krsno bahir-gaurah
sangopangastra-parsadah
sacigarbhe samapna yat
maya-manusa-karma-krt

Inside black and outside golden and accompanied by His associates and weapons, I shall appear in the womb of Saci. I will seemingly act as a human being because of the cover of My maya potency. (Skanda Purana)

kali-ghora-tamascchannan
sarvan acara-varjitan
saci garbhe ca sambhuya
tarayisyami narada

O Narada, appearing from the womb of Sacidevi [an incarnation of Krsna's mother Yasoda], I shall deliver the people of Kali-yuga, who will be covered by deep ignorance and thus devoid of good behavior. (Vamana Purana)

aham eva dvija-srestho
lila-pracurya-vigrahah
bhagavad-bhakta-rupena
lokan raksami sarvada

I shall come as the best of the brahmanas. I will exhibit many pastimes in the form of a devotee. I shall deliver the people of the world. (Varaha Purana)

mundo gaurah sudirghangas
trisrotastira-sambhavah
dayaluh kirtanagrahi
bhavisyami kalau yuge
kalau sankirtanarambhe
bhavisyami saci-sutah

In Kali-yuga I shall appear in a golden form with shaved head and a tall body. I shall be merciful to people engaged in sankirtana on the bank of the River Ganges. When the sankirtana movement is inaugurated, I shall descend as the son of Sacidevi. (Vayu Purana)

suddho gaurah-su-dirghango
ganga-tira-samudbhavah
dayaluh-kirtana-grahi
bhavisyami kalau yuge

In the age of Kali-yuga, I shall come in a place on the bank of the Ganges. I will be very pure, have a fair complexion, and be very tall and chant the holy names of Krsna. (Vayu Purana)

paurnamasyam phalgunasya
phalguni-rksa-yogatah
bhavisye gaura-rupena
saci-garbhe purandarat

svarnadi-tiram asthaya
navadvipe janasraye
tatra dvija-kulam prapto
bhavisyami janalaye

bhakti-yoga-pradanaya
lokasyanugrahaya ca
sannyasa-rupam asthaya
krsna-caitanya-nama-dhrk

tena lokasya nistaras
tat kurudhvam mamajnaya
dharitri bhavita cabhir
mayaiva dvija-dehina

I shall advent in the month of Phalguna, when the star Phalguni is conjoined with the full moon. I shall incarnate in a golden complexion in the womb of Saci and Purandara Misra.

I will be born in the city of Navadvipa, on the Ganges' shore, in a brahmana's family. I shall take the renounced order of life [sannyasa] and show kindness to the people in general and engage them in Bhakti. I will be known as Sri Krsna Caitanya.

All of you should follow My order and deliver the people of the world. I shall appear as a brahmana. I shall make this earth fearless. (Vayu Purana)

aham eva kvacid-brahman
sannyasa-asrama-asritah
haribhaktim grahayami
kalau papa-hatan-naran

I, the Supreme Brahman, sometimes appear as a sannyasi. I am preaching the Hari-bhakti which destroys the sins of people in Kali-yuga. (an Upapurana)

Ananta-samhita:

svarnadi-tiram asritya
navadvipe dvijalaye
sampradatum bhakti-yogam
lokasyanugrahaya ca

sa eva bhagavan krsno
radhika-prana-vallabhah
srsty-adau sa jagannatho
gaura asin mahesvari

avatirno bhavisyami
kalau-nija-ganaih saha
saci-garbhe navadvipe
svardhuni-parivarite

aprakasyam idam guhyam
na prakasyam bahir-mukhe
bhaktavataram bhaktakhyam
bhaktam bhakti-pradam svayam

man-maya-mohitah kecin
na jnasyanto bahir-mukhah
jnasyanti mad-bhakti-yuktah
sadhavo-nyasinotmalah

krsnavatara-kale-yah
striyo ye purusah priyah
kalau te 'vatarisyanti
sridama-subaladayah

catuh-sasti-mahantas te
gopa dvadasa balakah
dharma-samsthapanarthaya
viharisyami tair aham

kale nastam bhakti-patham
sthapayisyamy aham punah
gacchantu bhuvi te putrah
jayantam bhakta-rupinah
dharma-samsthapanam kale
kurvantu te mamajnaya

krsnas caitanya-gaurango
gauracandrah saci-sutah
prabhur gauro gaura-harir
namani-bhakti-dani me

To show mercy to the people and give them devotional service, the Supreme Personality of Godhead will appear in a brahmana's home in Navadvipa by the Ganges' shore. The Supreme Person, Sri Krsna Himself, who is the life of Srimati Radharani, and is the Lord of the universe in creation, maintenance, and annihilation, appears as Gaura, O Mahesvari.

In Kali-yuga, I will descend to the earth with My associates. In Navadvipa, which is surrounded by the Ganges, I will take birth in Sacidevi's womb.

They who are bewildered by My illusory potency will not understand the great secret of the appearance in this world of Me in My personal form, in My form as the incarnation of devotion, in My form as the incarnation of a devotee, in My form bearing the name of a devotee, in My form as a devotee, and in My form as the giver of devotional service.

This secret is not to be revealed to them. Only the saintly, pure, renounced devotees, diligently engaged in My devotional service, will be able to understand Me in these five forms.

My dear male and female associates, headed by Sridama and Subala, who came to this world at the time of My advent as Lord Krsna, will come again during the Kali-yuga.

The gopas will become the sixty-four mahantas and the twelve gopalas. To establish the truth of religion, I will enjoy many pastimes with them.

In this way I will again reveal the path of devotional service, which has been destroyed in the course of time. My sons should also descend to the earth, assume the forms of devotees, and, by My order, also work to re-establish the principles of true religion.

At this time My names will be: Krsna Caitanya, Gauranga, Gauracandra, Sacisuta, Mahaprabhu, Gaura and Gaurahari. Chanting these names will bring devotion to Me.

gauri sri-radhika devi
harih krsna prakirtitah
ekatvac ca tayoh saksad
iti gaura-harim viduh

The golden Goddess Radha is known by the name Gauri and the dark Lord Krsna is known by the name Hari. Aware that both of them have combined, the wise call Him as Gaurahari."

navadvipe tu tah sakhyo
bhakta-rupa-dharah priye
ekangam sri-gaura-harim
sevante satatam muda

"O beloved, assuming the forms of devotees the gopis will also take birth in Navadvipa. With great happiness they will again and again serve Lord Gaurahari, who is Radha and Krsna combined in a single form."

sri-mahadeva uvaca
gaurangam sac-cid-anandam, sarva-karana-karanam
vaca gadgadayanantam, tustava dharani-dharah

Lord Anantadeva, the upholder of the whole universe then with a chocked voice full of ecstasy tried to satisfy the Supreme Personality of Godhead, Lord Sri Gauranga Mahaprabhu, the Supreme Cause of all Causes who possesses a transcendental eternal form of truth, knowledge and bliss.

vrndavane navadvipe, bheda-buddhis ca yo narah
tam eva radhika-krsne, sri-gaurange paratmani
mac-chala-pata-nirbhinna-dehah so 'pi naradhamah
pacyate narake ghore, yavad ahuta-samplavam

Lord Shiva said: "With my trident I will cut into pieces anyone who thinks that Vrindavana and Navadvipa are different, or that Radha-Krsna and Gauranga are different, or that Lord Gauranga is not the Supreme Personality of Godhead. Such a person is most degraded among human beings. He or she will burn in a terrible hell until the time when the universe is flooded with water."

vistaran me nigaditah, sruto yah krsna isvarah
visvadau gaura-kantitvat, gaurangam vaisnavah viduh

Please hear attentively, I will describe in detail this most confidential secret. The Supreme Isvara or Controller Lord Krishna who is the origin of everything is known and worshiped by the learned Vaishnava devotees as Lord Gauranga, when He accepts the golden complexion of Srimati Radhika.

paratmane namas tasmai, sarva-karana-hetave
adi-devaya gauraya, sac-cid-ananda-rupine

I offer my prostrated obeisances to Adideva, the Supreme Lord Sri Gauranga Mahaprabhu who is the ultimate and original cause of all causes, the Paratma or Supersoul of all living entities and who possesses a transcendental eternal form of truth, knowledge and bliss.

gopi-sangam na capnoti, sri-gaura-caranad rte
tasmat tvam sarva-bhavena, sri-gauram bhaja sarvada

And to achieve the service and association of the gopis of Vrindavana the only way is to worship the lotus feet of Lord Gauranga and chant His name. Therefore Parvati, you should worship Lord Gauranga and chant His name constantly and with sarva-bhava, full surrender, giving everything to Him.

gauranga-caranambhoja-makaranda-madhuvratah
sadhanena vina radham, krsnam prapsyanti niscitam

The person who is like a transcendental honeybee relishing the supreme ambrosial nectar (makaranda) emanating from the divine lotus feet of Lord Gauranga Mahaprabhu will most certainly without a doubt attain Their Lordships Sri Sri Radha Krishna even without performing any sadhana-bhakti practice of bhakti-yoga.

radhika-vallabhah krsno, bhaktanam priya-kamyaya
srimad-gauranga-rupena, navadvipe virajate

The Supreme Personality of Godhead Lord Krishna who is most dear to His Supreme consort Srimati Radharani is situated in Navadvipa in His transcendental combined form of Srimad Gauranga to fulfil the innermost desires of His most intimate devotees. (end of Ananta-samhita quotes)

sa tata paramo devah
sri-saci-devi-nandanah
dvi-netro dvi-bhujo gauras
tapta-jambunada-prabhah

O child, at that time the Supreme Personality of Godhead has two eyes, two arms, and a fair complexion splendid as molten gold. He is the son of Sri Saci-devi. (Satvata tantra 5.41)

dhyana-yoga-kriyah sarvah
sa samhrtya daya-parah
svakiye yasasi sthapya
ganta vaikuntham uttamam

Removing the meditation, yoga, and pious deeds (of the previous ages), the merciful Lord will put His own glory in their place. Then He will return to the highest Vaikuntha world. (Satvata tantra 5.42)

tasmin yajanti sri-krsnam
caitanyakhyam jagad-gurum
pita-varnam tantra-mantrair
namnam sodasabhih samam

With sixteen holy names of the Lord and with mantras from the Tantras [Pancaratras] the people in that age will worship the Lord of the universes, whose complexion is fair and who is named Sri Krsna Caitanya. (Satvata tantra 5.43)

athavaham dhara-dhamni
bhutva mad-bhakta-rupa-dhrk
mayayam ca bhavisyami
kalau sankirtanagame

Sometimes I personally appear on the surface of the world in the garb of a devotee. Specifically, I appear as the son of Saci in Kali-yuga to start the sankirtana movement. (Brahma-yamala tantra)

gaurangam gaura-diptangam
pathet stotram krtanjalih
nanda-gopa-sutam caiva
namasyami gadagrajam

With great devotion and folded hands, one should recite the following prayer before Lord Gauranga, whose limbs are as effulgent as molten gold: 'I offer my respectful obeisances to Lord Gauranga-Krsna, the son of the Nanda Maharaja and the elder brother of Gada. (Brahma-yamala tantra)

kalau prathama-sandhyayam
hari-nama-pradayakah
bhavisyati navadvipe
saci-garbhe janardanah

In the first sandhya of Kali-yuga, Lord Krsna will appear in Navadvipa, in Sacidevi's womb. In that incarnation He will teach the chanting of Lord Hari's holy names.

anyavatara bahavah
sarve sadharana matah
kalau krsnavataras tu
gudhah sannyasa-vesa-dhrk

Lord Krsna descends to the world in many different forms. However in Kali-yuga, His incarnation is hidden. At that time He appears disguised as a sannyasi. (Jaimini-bharata)

kvacit sapi krsnam aha
srnu mad-vacanam priya
bhavata ca sahaikatmyam
icchami bhavitum prabho

mama bhavanvitam rupam
hrdayahlada-karanam
parasparanga-madhya-stham
krida-kautuka-mangalam

paraspara-svabhavadhyam
rupam ekam pradarsaya
srutva tu preyasi-vakyam
parama-priti-sucakam

svecchayasid yatha purvam
utsahena jagad-guruh
premalingana-yogena
hy acintya-sakti-yogatah

radha-bhava-kanti-yuktam
murtim ekam prakasayan
svapne tu darsayam asa
radhikayai svayam prabhuh

Then Sri Radha said to Lord Krsna: 'O beloved, please hear My words. I yearn to become one with you. Please show a form where You and I embrace and Our two bodies become one, a form filled with the love I bear for You, a form filled with auspicious and blissful pastimes, a form that brings bliss to the heart, a form that unites Our two natures.'

Hearing His beloved's words, which were filled with joy and love, Lord Krsna passionately embraced Her. Then by the touch of His inconceivable potency Their two forms joined and became one, a single form endowed with Sri Radha's divine love and glorious splendor. In a dream Lord Krsna showed all this to Sri Radha. (Kapila tantra)

aham purno bhavisyami
yuga-sandhau visesatah
mayapure navadvipe
varam ekam saci-sutah

During the first sandhya of Kali-yuga I will descend, with all My powers and glories, to Mayapura in Navadvipa and become the son of Sacidevi. (Krsna-yamala tantra)

punya-ksetre navadvipe
bhavisyami saci-sutah

I shall appear in the holy land of Navadvipa as the son of Sacidevi. (Krsna-yamala tantra)

iti matva krpa-sindhur
amsena krpaya harih
prasanno bhakta-rupena
kalav avatarisyati

Thinking in this way, Lord Krsna, who is an ocean of mercy, mercifully decided to appear as a devotee in Kali-yuga. (Krsna-yamala tantra)

gauranga nada gambhirah
svanamamrta lalasah
dayaluh kirtana grahi
bhavisyati saci-sutah

Merciful Lord Gauranga, who has a deep voice, will appear as the son of Sacidevi. He is eager to taste the nectar of His own names and thus engages in chanting them. (Krsna-yamala tantra 64)

matva tvanmayam atmanam
pathan dvayaksaram ucyate
gata trapo madonmatto
gaja vad vicarisyati

He (Krsna) will consider Himself as You (Radha). In this mood He will loudly recite two syllables, krs-na, and being shamelessly intoxicated He will wander like an elephant. (Krsna-yamala tantra 65)

bhuvani prapte tu govindas
caitanyakhyo bhavisyati
ansena bhuvi yasyanti
tatra tat purvaparsada

When Lord Govinda appears on earth, He will be known as Caitanya. At that time His associates also appear on earth in their expansions. (Krsna-yamala tantra 66)

kalau purandarat sacyam
gaura-rupo vibhu smrtah

In Kali-yuga I will appear in a golden form as the son of Purandara and Sacidevi. (Urdhvamnaya tantra)

navadvipa-samam sthanam
sri-gauranga-samah prabhuh
krsna-prema-sama praptir
nasti durge kadacana

O Durga, no place in the creation is equal to Navadvipa, no master is as merciful as Lord Sri Gauranga, and no attainment in the whole world is equal to pure love for Krsna. (Urdhvamnaya tantra)

krsna-caitanya-namna ye
kirttayanti sakrnnarah
nanaparadha-muktas te
punanti sakalam jagat

A person who even once chants the name of Krsna Caitanya becomes free from all offenses and purifies the whole universe. (Visnu-yamala tantra)

kaleh prathama-sandhyayam
gaurango 'sau mahi-tale
bhagirathi-tate ramye
bhavisyati sanatanah

In the first sandhya of Kali-yuga, on the earth, by the beautiful shore of the Ganges, the Lord will appear in His eternal golden form. (Yoga-vasistha)

Other direct references are found in the Visvasara tantra, Kularnava tantra, Brahma-rahasya, and Visnu-yamala. Besides these there are complete chapters about Sri Caitanya's incarnation in the Vayu Purana and Bhavisya Purana, which are too long to quote here. Also there is a text by the name Caitanya Upanisad within the Atharva Veda, which explains the Lord's incarnation in Kali-yuga. I have not cited it here, as it was rediscovered in recent times, so some people will reject its authenticity, or at least its value as evidence.

Sri Caitanya's incarnation was a hidden incarnation, thus He buried references to His appearance deep within the ocean of Vedic texts. His desire was that His disguise would not be betrayed, so He made sure these references would remain hidden until after His incarnation was complete. These texts were always present, but by the inconceivable yoga-maya of the Lord, He covered His true identity even from the Vedic scholars and panditas. Only the pure devotees understood His actual identity.

Related links:

Divinity of Sri Caitanya Mahaprabhu (objections refuted)