diff --git a/PyPDF2/pdf.py b/PyPDF2/pdf.py
index 357c9ae46..53ea01bd5 100644
--- a/PyPDF2/pdf.py
+++ b/PyPDF2/pdf.py
@@ -1820,12 +1820,12 @@ def read(self, stream):
         stream.seek(-1, 2)
         if not stream.tell():
             raise PdfReadError('Cannot read an empty file')
-        last1K = stream.tell() - 1024 + 1 # offset of last 1024 bytes of stream
+        last1M = stream.tell() - 1024 * 1024 + 1 # offset of last MB of stream
         line = b_('')
         while line[:5] != b_("%%EOF"):
-            if stream.tell() < last1K:
+            if stream.tell() < last1M:
                 raise PdfReadError("EOF marker not found")
-            line = self.readNextEndLine(stream, last1K)
+            line = self.readNextEndLine(stream)
             if debug: print("  line:",line)
 
         # find startxref entry - the location of the xref table