Lynn proved you can win things with kids as they successfully began their defence of the league cup.
The Linnets, 3-0 up at half-time, continued to bring on more reserve team players in the second period, but still ended up with a stroll against the Division One East leaders.
Luke Fell made his first senior start as Lynn bossed the first half against a disappointing Corby side.
Lynn took the lead after 12 minutes when Jack Defty nodded the ball back from a left-wing cross for Danny Bloomfield to head into the roof of the net at the far post to make it 49 goals in 82 appearances.
Mark Heath-Preston began a sequence of four brilliantly-taken goals in the 40th minute, weaving past defenders and striking low into the corner with his left foot from just outside the box for his first senior goal.
A minute before half-time Adam Jones fired in from a similar position through a sea of legs.
Much of the second period was played in the Corby half.
A minute past the hour Adam Smith drifted in from the right and shot home left-footed from 22 yards.
In the 78th minute substitute Tom White (making his first senior appearance) took advantage of a poor clearance by keeper Des Elliott.
White cut into the left of the area and sensationally curled a ball which hit the goal stanchion and came back out.
It was a fruitless night for Corby's ex-Linnets Mark Burrows and Jamie Clarke, although Danny Marlow hit the post after Bobby White's free-kick was saved by John Higgs.
The quarter-final draw is today with a meeting against either Bedford or Hitchin looking the likely outcome.
Linnets manager Tommy Taylor said: "Two of the young players have been with us already (Heath-Preston and Fell) so I know how they've done.
"The other two boys who came on did very well. It was a good chance to see some of the younger lads.
"Mark had four good chances and scored with one.
"I didn't play Sam McMahon because I thought three games in a week might be too much after coming back from injury, while Danny Hammond and Martin McNeil were on four yellow cards.
"I thought Corby would be a wee bit stronger. (Ex-Linnet) Carl Holmes was the only one I know who was out of their first team."
Lynn: Higgs, West, Smith, J. Defty (C. Defty 57), Harvey, Jones, Camm, Fell, Heath-Preston, Bloomfield (White 62), O'Halloran (Peters h-t). Subs not used: McNeil, McAnally.
Corby: Elliott, Marshall, Marlow, Goodman, Burrows, White, Fordes, Clarke, Byrne (Kennedy h-t), Nedimovic, Hallows. Not used: Hardie, Turner.
Referee: W.A. McIntosh (Lincoln).
MoM: Mark Heath-Preston.