For one discerning buyer it is a unique offer. The only complete Regency town house in an exclusive Hove square is up for sale.

While all neighbouring properties have been subdivided into flats during the years, No 1 Brunswick Square remains just one property.

Now owners David and Audrey Simpson have put the Grade I listed building on the market, offering someone the chance to live like an aristocrat of old.

All the potential buyer must do is come up with enough money.

Just under £1 million should cover it.

Since going on the market, rumours have been circulating in the square that various celebrities have expressed an interest in the house.

Names mentioned have included Sir Paul McCartney, Naomi Campbell and even Liam Gallagher. But so far the house still remains up for grabs.

Priced at £950,000 the property features four bedrooms, three bathrooms, a drawing room, a top-floor office with balcony and self-contained servant quarters in the basement.

Several rooms are fitted with glass chandeliers, marble fireplaces and stained glass windows. The property's high ceilings are decorated with original plaster cornicing and mouldings.

Mr and Mrs Simpson bought the building five years ago after falling in love with its grand design and historical features.

Mrs Simpson, a serving magistrate and former hotelier, said: "It's just such an incredible house. You can see the sea from every room and I will miss it enormously. It has been an absolute privilege living here.

"Everyone who has seen it has wanted to buy it. We have had two potential buyers in the last couple of months but both have fallen through."

The couple themselves are planning to move into a smaller apartment in Brighton but say they will miss the square and its eclectic mix of professionals, artists and young families.

Mrs Simpson added: "I keep hearing that somebody famous has sent a representative round to see the house but we wouldn't know if they had or not."

Brunswick Square was built by architect Charles Busby in the 1820s at a time when grandiose building schemes were designed to turn Brighton into a sophisticated London-by-the-sea.

The square formed the centrepiece of Brunswick Town, a highly exclusive area close to Hove village, which became known as West Brighton.

At that time Brighton was hugely fashionable and the cream of British and European aristocracy flocked to live in its elegant houses by the sea.

During the course of 100 years, the fashionable set moved on to resorts in the Mediterranean. The houses they left behind fell into neglect and decay.

In the Thirties it was proposed to demolish the entire square but the area was saved and the houses were gradually bought up by private speculators who split them up into bedsits.

Like most of its neighbours, No 1 Brunswick Square was divided up until a massive restoration project in the Eighties returned the building to its former glory.

Nick Tyson, curator of the nearby Regency Town House Project, said: "It's very rare for a Regency house in good condition to go on the market and from my recollection this one is in pretty good shape.

"It's a great opportunity for someone who wants to live in a such house the way it was intended to be occupied. It's just that most people these days don't have the eight or ten servants to live downstairs."