BAGHDAD — Iraqi police shot at a small group of protesters in Baghdad on Friday after three deadly days of anti-government unrest, and Prime Minister Adel Abdul Mahdi said no “magic solution” was available, pledging vague reform unlikely to placate Iraqis.

At least 27 people have been killed so far in violent demonstrations that have escalated by the day, sweeping across southern cities since they first erupted on Tuesday.

The unrest, fueled by popular rage over poor living standards and corruption, is the first major challenge for Abdul Mahdi, who took office last year backed by Shi’a parties that have dominated Iraq since the 2003 fall of Saddam Hussein.

It also comes on the eve of the Arbaeen Shi’a pilgrimage, when as many as 20 million worshippers are expected to journey for days on foot across southern Iraq in the world’s biggest annual gathering, 10 times the size of the Mecca Hajj.

The Iraqi capital was mostly quiet ahead of Muslim Friday prayers. An ongoing curfew, defied by thousands of demonstrators on Thursday, saw army and special forces deploy around central squares and streets.

Iraqis expect large protests to erupt later in the day, absent a meaningful response from politicians they accuse of holding back Iraq’s recovery from years of conflict through corruption and neglect.

Abdul Mahdi acknowledged the public discontent in an overnight television message, insisting politicians were aware of the suffering of the masses.

“We do not live in ivory towers — we walk among you in the streets of Baghdad,” he said.

He called for calm and for support from lawmakers to reshuffle cabinet posts away from the influence of big parties and groups. He said a basic wage for poor families would be discussed by the government, but that no “magic solutions” had been available to fix the country.

Out on the streets of Baghdad overnight, protesters gathered by a bonfire set among the flaming wreckage of an armored vehicle, across the Tigris River from the government compound.

“They are shooting live fire at the Iraqi people and the revolutionaries,” a man shouted to Reuters TV. “We can cross the bridge and take them out of the Green Zone!

“Abdul Mahdi, they will cross the bridge. You better resign. Resign. The people demand the fall of the regime!” he shouted as the crowd behind him took up a chant that swept the Middle East during popular uprisings across the region in 2011: “The people demand the fall of the regime!”

Two years after the defeat of the ISIS Sunni militant movement, Iraq has finally been at peace and free to trade for the first extended period since the 1970s. Oil production is at record levels, providing windfall income for Baghdad. Yet after decades of war and sanctions, infrastructure is still decrepit, cities are in ruins and there are few employment opportunities for a population of 40 million.

Protesters say they funds are being siphoned off by political parties who have a firm grip on power in Baghdad.

They clashed with security forces in mass demonstrations that began in Baghdad on Tuesday and spread to cities in the southern Shi’a heartland. Hundreds of people have been wounded as security forces opened fire to disperse the crowds, and demonstrators in some areas have shot back.