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Based on the sutras, the Vinaya and later commentaries
About the Sources

Ajātasattu visits the Buddha and hears the Discourse on the Fruits of the Ascetic Life

Attested across multiple schools

On a full-moon night asks his ministers which ascetic he should visit; the ministers each recommend one of the six teachers, and only recommends the Buddha. Ajātasattu rides on an elephant to Jīvaka's mango grove and sees the Buddha sitting in silence with one thousand two hundred and fifty monks. He asks what fruit going forth bears in this very life, and the Buddha, taking as examples a slave and a farmer who are honoured once they have gone forth, explains in order moral conduct, concentration and the supernormal powers, up to the destruction of the defilements. Ajātasattu , confesses that he killed his righteous father the king for the sake of the throne, and asks the Buddha to accept his confession. After Ajātasattu leaves, the Buddha tells the monks that had this king not killed his father, he would have attained the on the spot.

Different Accounts

Date: the Sāmaññaphala Sutta of the Dīgha Nikāya of the Southern tradition has the full-moon uposatha night at the end of the four months of the rains; the Shamen guo jing of the Chinese Dīrgha Āgama says only the full moon of the fifteenth day; the Chinese Ekottarika Āgama and the Jizhi guo jing have the fifteenth day of the seventh month, that is, the day the ends and monastics gain a year of seniority.

More differences between accounts (2)

All sources record one thousand two hundred and fifty monks present; the Chinese Dīrgha Āgama also records that Ajātasattu's eldest son was named Udāyibhadda.

The Chinese Mahāsāṃghika Vinaya, in referring to this discourse, says that Ajātasattu was constantly terrified in his mind because of the crime of killing his father.

Dating

The month and day are stated in the canonical texts, but not the year. This event took place after 's death; reckoned from the year of Ajātasattu's accession, roughly Years 38 to 45 after the Awakening (the Buddha aged seventy-two to eighty); on the other reckoning, as early as Year 37 (aged seventy-one).

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Research Notes: Reliability, Dating and Sources
How Reliability Is Assessed

Recorded by three schools: the Pali canon of the Southern tradition, the Chinese Dīrgha Āgama and the Chinese Mahāsāṃghika Vinaya (Mohe sengqi lü). Attested across multiple schools.

Dating Evidence and Precision

Stated in the canonical text (the text itself gives the time); converted from the Buddha's age (worked out from the Buddha's age). Time precision: year uncertain, fixed to the day, month only.

Sources

Back to Events known only to fall within a span of years

Source text

日期怎麼讀

成道第幾年
從佛陀成道開始,每經過一次雨季安居算一年,每一年算到安居結束為止;所有年歲一律依二十九歲出家、三十五歲成道推算。
年份依據
區分經文自己明記、後世註解書記載、先後順序推定及年歲換算。
時間精確度
分別說明確定到日、月、年,或只能放入某幾年之間。
可信度
多派共傳、兩派記載、單派記載與後世補述,表達記載的共傳範圍;與時間及位置是否確定分開閱讀。