But England lost six wickets in 12 overs, mostly due to good bowling rather than cavalier batting by the Test world champions.
Bairstow and Everton counterattacked brilliantly, although the Yorkshire man was called off on the 27th. Neil Wagner Drop the return catch on the checked drive.
It was an extraordinary mistake by Bairstow, whose 136 runs were the cornerstone of England’s five-wicket haul at Trent Bridge and the pursuit of a series-winning run.
Overton was replaced by twin brothers Craig in place of the injured. James AndersonDemonstrated a wide array of attacking shots.
His 68 off 68 balls included seven fours and a six, with the 28-year-old following Wagner for six and four consecutive balls.
Bairstow, who reached the fifth position off 51 balls, completed his 10th century in 86 Test matches by hitting Bolt’s 15th four off 95 balls.
The 32-year-old son of the late English wicketkeeper David Bairstow celebrated and ran to the stand where his mother was standing near Janet Boundary before watching the crowd applaud.
Southee was England’s star batsman at the time. Joe Root England were caught for five to leave 21-4 behind.
Although Stokes counterattacked Southee for six, he was able to chip Wagner at mid-off in a similar shot.
After three balls, Wagner had taken the second wicket in his first over of the series for the injured Kyle Jamieson. Ben Fox Plumb LBW was to leave England 55-6.
New Zealand started 225-5 again, Mitchell turned his 78 not out overnight into 109 innings.
In the process, he broke New Zealand’s 73-year-old record for most runs scored in a series against England, with Mitchell now scoring 482 runs in the campaign, 20 more than Martin Donnelly in 1949.
But Mitchell completed his latest century by lifting in the style of a fairy. Jack Leach For over long six.
Trying to repeat the stroke, however, his 228-ball innings ended when he was caught by Stokes running from mid-off on a wrong spinner’s drive.
Leach, whose Test career has been devastated by illness, injury and inconsistent selection, completed a magnificent score of 5-100 in 38.3 overs.
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