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(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 (next test-divisor)))))
(define (next test-divisor)
(if (= test-divisor 2)
3
(+ test-divisor 2)))
(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)) ; .33333
(sfp 6 (* 10000 1000)) ; 1
(sfp 6 (* 100000 1000)) ; 4
(sfp 6 (* 1000000 1000)) ; 13
(sfp 6 (* 10000000 1000)) ; 84
(sfp 6 (* 100000000 1000)) ; 280
; It does seem to cut the amount of time in half. The questions in the exercise
; make it seem like it shouldn't be this way though.