diff --git a/readme.md b/README.md
similarity index 51%
rename from readme.md
rename to README.md
index 06a7a17..9ef69c2 100644
--- a/readme.md
+++ b/README.md
@@ -8,4 +8,8 @@ header-only c++ 23 math library
 - sieves (pritchard)
 - factorization (pollard-rho, rabin-miller)
 - profiling
-- saturating arithmetic operations
\ No newline at end of file
+- saturating arithmetic operations
+
+## motivation
+
+built to learn and apply modern c++ in a competitive programming environment