1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42

(define (smallest-divisor n)
  (find-divisor n 2))
 
(define (find-divisor n test-divisor)
  (cond ((> (square test-divisor) n) n)
        ((divides? test-divisor n) test-divisor)
        (else (find-divisor n (+ test-divisor 1)))))
 
(define (divides? a b)
  (= (remainder b a ) 0))
 
(define (prime? n)
  (= n (smallest-divisor n)))
 
(define (square n)
  (* n n))
 
(define (sfp count n)
  (define (timed-prime-test n)
    (start-prime-test n (current-process-milliseconds)))
  (define (start-prime-test n start-time)
    (if (prime? n)
        (report-prime (- (current-process-milliseconds) start-time))
        (sfp count (+ n 1))))
  (define (report-prime elapsed-time)
    (display " *** ")
    (display elapsed-time)
    (sfp (- count 1) (+ n 1)))
  ; sfp ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
  (if (= count 0)
      (display "\ndone")
      (timed-prime-test n)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
 
(sfp 10 (* 1000 1000)) ; 0.3333333
(sfp 6 (* 10000 1000)) ; 2
(sfp 6 (* 100000 1000)) ; 7
(sfp 6 (* 1000000 1000)) ; 21
(sfp 6 (* 10000000 1000)) ; 168.8
(sfp 6 (* 100000000 1000)) ; 505
 
; The order of growth does fit (sqrt n) exact between 10million and 100million.