PRINCETON, N.J. (AP) _ Thirty-one Princeton University students who allegedly ran naked through town at the winter's first snow pleaded innocent Monday to lewdness and disorderly conduct.

Lawyers entered the pleas for 30 of the students. Chris Santoli personally told Municipal Court Judge Russell Annich he was innocent.

''It's silly. It seems to me that the police could find something better to do,'' Santoli, 19, of Utica, N.Y., said before pleading.

Alan Medvin, an attorney for 26 of the students, said the case was no laughing matter and promised to fight it like any other. He filed a motion asking Annich to drop the more serious charge of lewdness.

If convicted, the students face up to six months in jail and $1,500 in fines. No trial date has been set.

The students were charged in connection with the ''nude olympics,'' an annual ritual in which sophomores strip to hats, gloves and shoes and perform athletic feats on the night of the first snow.

The event, which in earlier years was confined to a dormitory courtyard, had been tolerated for years. Town officials upset by larger and rowdier crowds running through the business district asked police to do something about it this year.

Plainclothes detectives videotaped about 100 runners Feb. 13 as they jogged from campus, down the town's main street, and through several businesses. Police said a window was broken and three students were injured. The sophomore class paid for the window.

Marc Citron, borough prosecutor, said: ''We're talking about 400 (students) who were quite intoxicated. ... We're talking about drunken students passed out in the snow.

''This was no winter frolic,'' he said.