Published: 2018-10-04 20:56:25 BdST
At 18 years and 329 days, Shaw became the youngest Indian and fourth-youngest overall to score a ton on his Test debut during a knock of 134 off 154 balls against West Indies in Rajkot.
The hosts reached 364 for four at the close after Shaw's heroics put India on course for a big first-innings total in the opening Test.
In the process Shaw, who led India to the under-19 World Cup title earlier this year, also became the 15th Indian to hit a century on debut.
His breezy knock received praise from Tendulkar, who was also known for dominating opposition bowlers as a young batsman.
"Lovely to see such an attacking knock in your first innings, @prithvishaw! Continue batting fearlessly," Tendulkar wrote on Twitter.
Like compatriot Tendulkar, Shaw shot to prominence from inter-school cricket when he smashed 546 off 330 balls for Rizvi Springfield in a minors' cricket competition in Mumbai in 2013. He hit 85 fours and five sixes during that knock.
For his part, Tendulkar, who went on to become the most prolific run-scorer in an international career spanning 24 years, once held the record for the highest partnership of 664 in school cricket with former India batsman Vinod Kambli.
Both Tendulkar and Shaw are short in stature and baby-faced and have spent their formative years toiling on the pitches in Mumbai, known as the breeding ground for producing future India cricketers. The similarities do not end there.
Shaw scored a hundred in his first-class debut in a Ranji Trophy semi-final for Mumbai in 2017 and then became the youngest player to score a century on his Duleep Trophy debut, a record previously held by Tendulkar.
Murali Vijay and Shikhar Dhawan opened for India at the start of the recent five-Test series in England but both were overlooked after the 4-1 defeat, handing a chance to Shaw, who was a non-playing squad member for the final two England Tests.
He could not have been more impressive in his maiden Test knock, scoring his first runs with a punch off the back foot through covers off his second delivery, reminding everyone why he had been tipped for a bright future in national colours.
Shaw, who hit 19 fours, was often a tad flashy for an opening batsman with his shot selection but showed stunning fluency in scoring on both sides of the wicket.
"First I was a bit nervous but when I got in I was quite comfortable and I was just trying to play my natural game, what I do in first-class cricket and in India A, and I just kept on going," Shaw told broadcaster Star Sports.
"I was not thinking about it as my first game, I was just thinking that it's another game and it just happened."
Shaw's attacking knock was, however, more reminiscent of Tendulkar's one-day opening partner Virender Sehwag, who bludgeoned the South African attack on his Test debut to score 105 in Bloemfontein in 2001.
Shaw's hunger for runs was evident when he stood rooted to his crease in disappointment after his dismissal, tamely offering leg-spinner Devendra Bishoo an easy return catch.
"I don't think it was enough after scoring that 100. The wicket was good and I should have kept batting," he said, dedicating his first Test 100 to his father.
"I was very disappointed, there were only 10 minutes left for the tea break and you should be a little bit careful."