diff --git a/powersoftau/src/small_bn256/mod.rs b/powersoftau/src/small_bn256/mod.rs
index d7cf89d1..17565e6b 100644
--- a/powersoftau/src/small_bn256/mod.rs
+++ b/powersoftau/src/small_bn256/mod.rs
@@ -30,7 +30,7 @@ pub struct Bn256CeremonyParameters {
 }
 
 impl PowersOfTauParameters for Bn256CeremonyParameters {
-    const REQUIRED_POWER: usize = 12; // generate to have roughly 2 million constraints
+    const REQUIRED_POWER: usize = 28;
 
     // This ceremony is based on the BN256 elliptic curve construction.
     const G1_UNCOMPRESSED_BYTE_SIZE: usize = 64;