Mathematicians Will Not be Able to Cope with This!

Watch out for 1 being considered 'prime' here! This is where you can play P is for Prime by Chaos is Inevitable: https://app.crackingthecryptic.com/H66NhnG9mm
Normal sudoku rules apply. Adjacent digits on the red line differ by at least 5. The amount of times a number is shown on the red line must be a prime number. Digits cannot repeat in a cage. A cage either contains only prime numbers and sums to a non-prime, or contains no prime numbers, but sums to a prime number, eg. 2 and 5 in a 2-cell cage is not possible since the numbers are prime AND it sums to a prime. IN THIS PUZZLE, 1 counts as prime, so the ‘prime’ set is 1/2/3/5/7.

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