SudoKanard

 Tom-Tom & Parity Party Sudoku "50"   Standard Sudoku rules apply. Parity Party: a number outside the grid is the sum of the first digits up to (and including) the first even digit or the first odd digit seen in that direction. Tom-Tom: there is at least one elementary operation (addition, subtraction, multiplication, division) which, applied to all digits in the cage, yields the total given in the top left corner of the cage. Digits may repeat in the cage if allowed by the other rules.     Penpa link to solve this puzzle online: https://tinyurl.com/2k95ezko Dedicated to all people who turn 50 this summer. Parity Party was invented by Glum Hippo. You can find other puzzles with this rule here: https://logic-masters.de/Raetselportal/Benutzer/eingestellt.php?name=glum_hippo

 47     Standard Sudoku rules apply. Little Killer : each number outside the grid is the sum of all digits in the direction pointed by the arrow. Killer : digits in a cage with a dashed outline sum to the number written in the top left corner of the cage. Thermo : digits along a thermometer strictly increase starting from the bulb. Multiples : when a circle appears between two cells, the corresponding two-digit number is a multiple of the number in the circle.  Online solve on Penpa: https://tinyurl.com/2k5sbk5l   Dedicated to all people who turn 47 this summer.

 Multiples Sudoku "Primes" Standard Sudoku rules apply. Also, some numbers are given on the edges between two adjacent cells. Treating those cells as a two-digit number (reading left to right or top to bottom), the two-digit number must be a multiple of the clue. (For example, near a 7 clue, the two digits can be 14, 21, 28, 35, etc.)   Solve online on Penpa: https://tinyurl.com/25kmjpy2 Video solution: https://www.youtube.com/watch?v=d-ozH6l-aMs