He raced to his half-century off 56 deliveries and then picked up his next 42 runs off just 28 balls.
'This no surprise - we knew he was going to play for India one day'.
After India opted to bat first, Prithvi opened the innings with Lokesh Rahul. This is his 17th hundred as the captain of India, and second against the Windies.
Cheteshwar Pujara too looked at ease at the other end and was on 74 off 100 balls when the Shaw's century came.
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Prithvi Shaw made debut in the global cricket with the first test match against and as it was expected like his career, he again made a century in his debut match.
Skipper Virat Kohli, who was all smiles when young Shaw raised his bat after reaching the milestone, was at the crease on 4 with vice-captain Ajinkya Rahane (batting 0) with Shaw offering an easy return catch to leggie Devendra Bishoo trying to play against the turn.
A second Test hundred in his fourth Test was for the taking but Pant, attempting another six over mid-wicket, failed to pick the googly and top-edged it for a simple catch to Keemo Paul at backward point.
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Shaw's innings was studded with 19 fours while Pujara hit 14 boundaries before poking at a length ball half-heartedly to be taken by wicketkeeper Shane Dowrich off pacer Sherman Lewis, who bagged his first Test scalp.
It has been a good last 30 days for the southpaw, who scored a gritty 86 in the final Test in England before making an ODI comeback with the Asia Cup in Dubai. Once the spinners were brought into the attack - Bishoo and Roston Chase - Pant brought out some authoritative hitting.
Prithvi Shaw had been impressive during India A's tour of England, and was knocking on the doors of the national team.
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