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+# project euler 46
+
+# bool ? n
+IsPrime ← memo(=1⧻°/×)
+# [all primes below n] ? n
+Primes ← +1⊚≡IsPrime↘1⇡
+# [all squares below n] ? n
+Squares ← ⍜√(↘1⇡+1⌊)
+# check if n can be written as 
+# sum of prime and twice square
+# bool ? n 
+Goldbach ← ±⧻⊚=⟜(
+  ⊞+⊃(⍜÷₂Squares)Primes
+)
+# [all odd composites on [a, b)] ? a b
+OddComposites ← ▽¬⊸∊ Primes⟜(
+  +1 +⤙(⍜÷₂(⇡⌊) ⌵-) ⊙⍜÷₂⌊
+):
+# [n subintervals a_b] ? a b n
+Subintervals ← ⧈₂/⊂+⟜(×⇡+1⤙(˜÷⌵-))
+
+⊢⊙◌⍢(
+  +300.◌
+  ⤚(
+    Subintervals⊙⊙8
+    ⍚/OddComposites⌊
+    /◇⊂⍚(▽¬⊸≡Goldbach)
+  )
+| ¬±⧻
+) [] 3