language: Scheme (guile) (guile 1.8.5)
date: 104 days 0 hours ago
link:
visibility: public 
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(define (isPrime? p)
  (if (= p 1) 
      #t
      (non-divisible-by p 2)))
 
 
(define (non-divisible-by n d)
  (if (> d (sqrt n))
      #t
      (if (= (remainder n d) 0)
          #f
          (non-divisible-by n (+ d 1)))))
 
(define (hp x)
  (primeFactor? x  2))
 
 
(define (primeFactor? x i)
  (if (= 0 (- (/ x i) (floor (/ x i)))) 
      (if (isPrime? (/ x i))
          (/ x i)
          (primeFactor? x (+ i 1)))
      (primeFactor? x (+ i 1))))
 
 
(define (foo x i)
  (- (/ x i) (floor (/ x i))))
 
 
;;;;;;;;find 1001th prime:
 
 
(define (nthPrime x)
  (XnthPrime 2 1 x))
 
 
(define (nextPrime x)
  (if (isPrime? (+ x 1))
      (+ x 1)
      (nextPrime (+ x 1))))
 
 
(define (XnthPrime x i j)
  (if (= i j)
      x
      (XnthPrime (nextPrime x) (+ i 1) j)))