Coronavirus: 100 days that changed the world (part 1)

Peter Mandelson faces a criminal investigation over allegations he leaked Downing Street emails and market-sensitive information to the child sex offender Jeffrey Epstein in 2009. The Metropolitan police are investigating Mandelson, who was then business secretary, on suspicion of misconduct in public office, an offence that carries a maximum sentence of life imprisonment. Police are also reviewing fresh allegations about the former prince Andrew Mountbatten-Windsor. Lucy Hough speaks to the head of national news, Archie Bland – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Prediction markets allow you to put money on everything from the US attacking Iran to Jesus returning. Saahil Desai explains their dizzying rise. Help support our independent journalism at theguardian.com/infocus

A small number of Palestinians from Gaza have started crossing into Egypt for medical treatment after Israel allowed a limited reopening of the Rafah border crossing. It had been largely closed since Israeli troops seized it in May 2024, cutting off a critical lifeline for those in Gaza. About 20,000 Palestinians needing medical care hope to leave Gaza using the crossing, but only a handful have been allowed through so far. The reopening of Rafah is seen as a key step in the US-brokered ceasefire agreement as it moves into its second phase. Lucy Hough speaks to chief Middle East correspondent Emma Graham-Harrison – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

A succession of political leaders have been trooping to Beijing in recent months. Is it an indication of a new world order? Tania Branigan explains. Help support our independent journalism at theguardian.com/infocus

Donald Trump claims that the release of millions more files related to Jeffrey Epstein ‘absolve’ him of wrongdoing, even though his name appears hundreds of times. The latest documents also indicate high-profile figures, including the former prince Andrew Mountbatten-Windsor and Labour peer Peter Mandelson, continued friendships with the disgraced financier after his child sex abuse convictions. So what have we learned from the newly released files and what happens next? Lucy Hough speaks to columnist and host of Politics Weekly America Jonathan Freedland – watch on YouTube. Help support our independent journalism at theguardian.com/infocus