Roger Federer became the oldest man to reach the French Open fourth round in 47 years on Friday by winning his record 400th Grand Slam match, while Rafael Nadal won in four sets as women's second seed Karolina Pliskova was dumped out.
The 37-year-old Federer, playing at Roland Garros for the first time since 2015, saw off the 63rd-ranked Norwegian Casper Ruud 6-3, 6-1, 7-6 (10/8) on Court Suzanne Lenglen.
It is the 14th time the 20-time Grand Slam champion has reached the second week in Paris, and he will face Argentina's world number 68 Leonardo Mayer for a quarter-final spot.
"It was hard to find weaknesses in his game, so I'm relieved, I'm now going to have a good shower and it's going to be great," said the 2009 winner, who hit 52 winners and served 11 aces past Ruud, whose father Christian played the 1999 French Open when Federer made his debut.
Federer is the oldest man to book a last-16 place since Nicola Pietrangeli, a two-time champion, at the age of 38 in 1972.
The 20-year-old Ruud, who was ranked as low as 135 earlier in the season, started well, but Federer broke for a 4-3 lead with a sumptuous flicked backhand passing shot and wasted little time in finishing off the set.
Third seed Federer romped through the second set, hitting 17 winners, and then quickly recovered an early break in the third as Ruud started to find some rhythm.
The underdog did well to force a tie-break, saving two break points in game seven, but Federer moved through the gears in the breaker to take a 6-4 lead.
Ruud saved back-to-back match points to keep Federer waiting, though, but saw a set point come and go as the Swiss great successfully served and volleyed before finally completing the win on his fourth match point with an emphatic smash.
In Federer's case, one father-child duo had the best seats in the house Friday at Court Suzanne Lenglen. That's because Christian Ruud, a guy who happened to be in the French Open field himself when Federer made his Grand Slam debut all the way back in 1999, was in the front row, watching his 20-year-old son, Casper, lose to the 37-year-old Federer 6-3, 6-1, 7-6 (8) in the third round in 2019.
"That's how unbelievable a champion he is, being to play on a high level for 20 years. I've been impressed with him my whole life — and I still (am)," said Christian Ruud, who coaches Casper.
Federer, the elder Ruud said, "cannot play forever, but he's still playing at an amazing level."
Certainly good enough to reach the fourth round in Paris for the record 14th time, a mark that was equaled a few hours later when Federer's longtime rival, Rafael Nadal, equaled it with his own victory.
While Federer raced through nine consecutive games in one stretch — "The first two sets went pretty quick," Casper Ruud acknowledged — and hasn't dropped a set this week, Nadal was pushed a bit by 27th-seeded David Goffin.
Reigning champion Nadal survived a blip to continue his bid for a record-extending 12th French Open title with a four-set win over David Goffin, ten years to the day since his shock 2009 exit to Robin Soderling.
The 17-time Grand Slam winner bounced back after an excellent third set from Belgian 27th seed Goffin to win 6-1, 6-3, 4-6, 6-3 and take his incredible Roland Garros win-loss record to 89-2 -- those two defeats coming against Soderling in the last 16 a decade ago and against Novak Djokovic in 2015.
Nadal maintained his record of never having lost in the first week in Paris, although he withdrew injured before the third round in 2016.
He powered 38 winners past Goffin on Court Philippe Chatrier to set up a fourth-round clash with Argentinian Juan Ignacio Londero.
"David is a very good player. I started the match at a good level," said Nadal. "After, in the third set, he played very well. I'm very happy to reach the last 16."
Later on Friday, Greek star Stefanos Tsitsipas takes on Serbia's Filip Krajinovic.
Pliskova exited the French Open in a blaze of unforced errors as she was comfortably dismissed 6-3, 6-3 by Croatia's Petra Martic.
The 31st-seeded Martic will face Estonia's Kaia Kanepi for a place in her first-ever Grand Slam quarter-final.
Pliskova's defeat means Naomi Osaka will retain the world number one spot after Roland Garros.
Pliskova was considered one of the favourites after winning the Italian Open in Rome, but said Roland Garros' premier Chatrier court did not play to her strengths.
"I think the court is pretty slow, so you just have to play some extra shots," said the former world number one, who is still yet to win a Grand Slam title.
Garbine Muguruza, the 2016 champion, made short work of Ukrainian Elina Svitolina, winning 6-3, 6-3, as the ninth seed's disappointing clay season ended on a low note.
Spanish 19th seed Muguruza reached the fourth round for the sixth successive year and set up a tie with either last year's runner-up Sloane Stephens or Slovenian Polona Hercog.
Elsewhere in the men's draw, Japanese seventh seed Kei Nishikori edged out Serbia's Laslo Djere in an epic encounter 6-4, 6-7 (6/8), 6-3, 4-6, 8-6.