diff --git a/lucene/src/test-framework/org/apache/lucene/util/LuceneTestCase.java b/lucene/src/test-framework/org/apache/lucene/util/LuceneTestCase.java
index f73e69eb539..957f9686313 100644
--- a/lucene/src/test-framework/org/apache/lucene/util/LuceneTestCase.java
+++ b/lucene/src/test-framework/org/apache/lucene/util/LuceneTestCase.java
@@ -754,7 +754,7 @@ public abstract class LuceneTestCase extends Assert {
    * is active and {@link #RANDOM_MULTIPLIER}, but also with some random fudge.
    */
   public static int atLeast(Random random, int i) {
-    int min = (TEST_NIGHTLY ? 5*i : i) * RANDOM_MULTIPLIER;
+    int min = (TEST_NIGHTLY ? 3*i : i) * RANDOM_MULTIPLIER;
     int max = min+(min/2);
     return _TestUtil.nextInt(random, min, max);
   }