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By Nick Eardley
BBC chief political correspondent
Labour leader Sir Keir Starmer has said his party needs to win a considerable number of seats in Scotland at the next general election to be a legitimate UK government.
Sir Keir told the BBC he wanted a "strong showing" in Scotland to be part of a Labour election win.
Labour sources believe the party can win more than 20 seats in Scotland, where the SNP has dominated since 2015.
Senior SNP figures said they were taking Labour's challenge seriously.
Sir Keir was speaking to Leading Scotland Where?, a BBC Radio 4 programme on the future of Scottish politics following the resignation of First Minister and SNP leader Nicola Sturgeon.
Ms Sturgeon, who was Scotland's longest-serving first minister, announced in February she was stepping down after more than eight years in the job.
She was succeeded by Humza Yousaf, who narrowly defeated rival Kate Forbes in an SNP leadership contest that exposed deep divisions within the party.
Ms Sturgeon's husband, Peter Murrell, resigned midway through the leadership campaign after taking responsibility for the party misleading the media about its membership numbers.
The SNP is facing a police investigation into its finances. Mr Murrell was arrested last week as part of the investigation, but was released without charge.
Speaking to the BBC, Sir Keir said Labour had an opportunity to rebuild after the departure of Ms Sturgeon, whom he described as a "formidable" political opponent.
"I want to be not the prime minister of the UK - but the prime minister for the UK," the Labour leader said.
"That means a strong showing in Scotland, so we have that legitimacy."
Asked if Labour needed to win a considerable number of seats in Scotland to be seen as prime minister for the whole of the UK, Sir Keir replied: "Yes - it matters to the Labour Party."
"That's not translated into a number - but it does mean I need and want to be able to show that we have significant support in Scotland, as we do in Wales and will have across England," he added.
SNP's challenge
Within Labour, there's talk of the party winning 20 or more seats in Scotland at the next general election. But Sir Keir would not commit himself to that number.
The SNP has had the most MPs in Scotland since it won a historic landslide in the 2015 general election victory, taking 56 out of 59 seats.
Its rise came mainly at the expense of Labour, which had held a majority of Scottish seats for decades - but now holds only one, Edinburgh South.
Some SNP politicians have said they are alive to the prospect of a Labour revival in Scotland.
"We have to take it seriously," the party's former Westminster leader, Ian Blackford, said.
But he said the SNP - which opposed the UK's departure from the European Union - had to point out that "Labour are wedded to delivering Brexit".
He added: "Labour is an alternative to the Tories in the rest of the UK and I get that. I can understand why people would look positively at voting for Labour in such a scenario.
"What we need to do is say there's a better future for Scotland… by becoming an independent country."
The party's deputy leader at Westminster- Mhairi Black - acknowledged "there's going to be a battle on our hands".
"I don't worry about that. If anything, I think the moment you're not worrying about elections is the moment you become too comfortable."
She added: "I think there's a challenge - but bring it on."
Leading Scotland Where? will be broadcast on BBC Radio 4 at 20:30 on Wednesday 19 April and available on BBC Sounds afterwards