Solve problem 7.

1 files changed, 21 insertions, 0 deletions

diff --git a/problem-7.scm b/problem-7.scm
new file mode 100644
index 0000000..edad5da
--- /dev/null
+++ b/problem-7.scm
@@ -0,0 +1,21 @@
+(use-modules (srfi srfi-1))
+
+(define (divisible? m n)
+  (zero? (modulo m n)))
+
+(define (divisible-by-any? x nums)
+  (any (lambda (n)
+         (divisible? x n))
+       nums))
+
+(define (nth-prime n)
+  (define (inner m count primes)
+    (cond ((= count n)
+           (car primes))
+          ((divisible-by-any? m primes)
+           (inner (1+ m) count primes))
+          (else
+           (inner (1+ m) (1+ count) (cons m primes)))))
+  (inner 2 0 '()))
+
+(nth-prime 10001)