Nair is only the second Indian after Virender Sehwag to score a triple-hundred for India in Test cricket. He achieved the feat in December 2016, scoring an unbeaten 303 in his third Test against England in Chennai.
"Some of the world's finest international cricketers will be on show at The County Ground this summer as we welcome India and India A," Northamptonshire County Cricket Club said in a statement.
