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I quote wiki :

Soon after Newton had obtained his B.A. degree in August 1665, the university temporarily closed as a precaution against the Great Plague. Although he had been undistinguished as a Cambridge student,[15] Newton's private studies at his home in Woolsthorpe over the subsequent two years saw the development of his theories on calculus,[16] optics, and the law of gravitation.

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He was only 23 - perhaps he simply camped-in at his mother's. – Pieter Geerkens Mar 26 '14 at 22:16
Newton returned home to Lincolnshire during this period and was supported by his mother, Hannah Ayscough. When her second husband (the wealthy clergyman Reverend Barnabus Smith) died in 1653, she was was left with a good bit of wealth and property. – David H Mar 30 '14 at 0:02

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