Nelson's record of 113 consecutive cuts made is second only to Tiger Woods' 142.
He holds the record for most consecutive cuts made on the Sunshine Tour with 43.
Snedeker played consistently throughout the early season making eight consecutive cuts through to April.
"That's the only reason why I play out here, to win," said Smith, who has shown consistency recently, making five consecutive cuts.
He made seven consecutive cuts from 23 March to 1 June.
Webb had made 56 consecutive cuts, dating to September 1999.
He had missed five consecutive cuts before this week, and his previous best finish was a tie for 22nd.
Woods has made 47 consecutive cuts, the longest streak on tour.
He finished off the year making 11 consecutive cuts.
He has top-10 finishes in three of his last four starts and has made nine consecutive cuts since July.