On ITV’s This Morning programme, presenter Philip Schofield said he had found the names after spending ‘about three minutes’ trawling the internet. He passed the list to the PM and asked what actions he would be taking.

Cameron has promised a number of inquiries into “shocking” allegations of child abuse but cautioned against getting carried away in the current rush to identify new abusers.

He also expressed concern that there could be witch hunt against famous people who happen to be homosexual, although his reason for making this link was unclear.

“I’ve heard all sorts of names being banded around and what then tends to happen is, of course, everyone sits around and speculates about people. Some on whom are alive, some of whom are dead,” he told This Morning.

“I do think it’s very important that anyone who’s got any information about any paedophile no matter how high up in the country or whether they are alive or dead, go to the police.

“There is a danger, if we’re not careful, that this can turn into a sort of witch-hunt, particularly against people who are gay.”

William Hague, the Foreign Secretary, also promised today to leave “no stone unturned” in the hunt for the truth about the scale of child abuse reports The Telegraph.

He has been accused by one of the alleged victims of “stifling” a previous inquiry into the north Wales abuse by making its remit too narrow.

“It is very, very important that we do everything possible to get to the truth about these matters,” he said. “It’s really of huge importance, that’s why I ordered an inquiry back in 1996 and I strongly support what the Home Secretary has announced this week.

“If there’s anything more to look at it must be looked at. Really, there must be no stone unturned in these matters. So, I welcome what the Home Secretary has announced and let’s make sure that anything that can be discovered, any additional fact that can discovered is actually found.”

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