Alan Turing, the cryptanalyst who broke German codes during the second World War, noted in 1945 that the world would need a great deal of mathematicians because of complexity involved in programming machines.

Some 75 years ago, there were but a few electromechanical computers worldwide, used to break military encryption. Even just 40 years ago, at that time(...)

Bitcoin logos: a bitcoin selloff that began at the beginning of the week is gaining momentum, with a quarter of its value evaporating in the past 24 hours. Photograph: Mark Lennihan/AP Photo

Bitcoin’s plunge extended to almost 30 per cent on Friday as the frenzy surrounding digital currencies faced one of its biggest tests yet. The world’(...)

The biggest and best-known cryptocurrency, bitcoin, hit a record high of more than $6,500

The aggregate value of all cryptocurrencies hit a record high of about $184 billion (€158 billion) on Wednesday, according to industry website Coinmar(...)

US president Donald Trump, flanked by vice president Mike Pence (R), speaks to reporters after a security briefing at his golf estate in Bedminster, New Jersey.  Photograph:Jonathan Ernst/Reuters

The dollar skidded to an eight-week low against the yen on Friday as escalating tensions between the United States and North Korea triggered yet more (...)

Conor McGregor appears on 24Option’s website and will feature in the company’s promotional material. Photograph: Tom Hogan/Inpho

Dual mixed martial arts champion Conor McGregor’s latest sponsor is barred from operating in France for failing to comply with financial services regu(...)

Oil has rebounded after falling to the lowest in more than 12 years amid signs that a global glut will ease as US output declines

Oil halted gains after the biggest jump in almost two months as Iraq said it raised output to a record ahead of talks between the world’s largest prod(...)

Intrade fell foul of US regulators following the last race to the White House

Intrade, the once high-profile Irish online betting business that fell foul of US regulators following the last White House race, looks set to be woun(...)

Martin Wheatley, chief executive officer of the UK Financial Conduct Authority (FCA), speaks during a news conference following an announcement by the FCA, the Commodity Futures Trading Commission and the Swiss Financial Market Supervisory Authority yesterday, about penalties given to five banks following a global foreign-exchange rigging probe. The FCA said its fines relate to “ineffective” controls at UBS, Citigroup, JPMorgan Chase, Royal Bank of Scotland Group, and HSBC,  that allowed the banks to put their “interests ahead of those of their clients, other market participants and the wider UK financial system.” (Photograph: Matthew Lloyd/Bloomberg)

In an early morning chat, three senior currency traders at some of the world’s biggest banks weighed the pros and cons of admitting a fourth member(...)

National benchmark indexes fell in all of the 18 western European markets yesterday. Photograph: iStockPhoto

European stocks fell yesterday as banks dragged the Stoxx Europe 600 Index lower and Nato said Russia had sent troops and heavy weapons into Ukraine.(...)

Britain’s Lloyds Banking Group has agreed to pay fines totalling $370 million to US and British authorities investigating its part in a global interes(...)