Well, probably not ramen, but this BBCnews report summarizes the discovery of what are definitely the oldest noodles ever found:

The 50cm-long, yellow strands were found in a pot that had probably been buried during a catastrophic flood.

Radiocarbon dating of the material taken from the Lajia archaeological site on the Yellow River indicates the food was about 4,000 years old.

Until now the earliest mention (in China at any rate) of noodles has been dated to between 25 and 200 AD, so this pushes the date back considerably.

For comparison, the Pyramids were "just" 500 years old when these noodles were made.