# HG changeset patch
# User Steve McConville
# Date 1346428905 -3600
# Node ID 69f0f2ba8ee9e57e949b7b460acbf4ee429f1085
# Parent 344340582f0dbd63f55b1009f5149d09ab993536
solved with brain
diff --git a/5/solution b/5/solution
new file mode 100644
--- /dev/null
+++ b/5/solution
@@ -0,0 +1,6 @@
+Every composite number is made up of prime factors, and 5*5 > 20 so we only
+need to consider powers of each prime < 5 as all the others need only appear
+once. 16 = 2^4 and 9 = 3^2 are the highest powers of 2 and 3 respectively that
+are beneath 20. So the factorisation of our number is
+
+2^4 + 3^2 + primes between(5..19)