The protesters, whose numbers multiplied more than tenfold in a single day Tuesday for their biggest rally yet, have insisted they will not end their unprecedented week-old wave of unrest until their ruler for nearly three decades goes.

Mubarak’s halfway concession — an end to his rule seven months down the road — threatened to inflame frustration and anger among protesters, who have been peaceful in recent days.

In the Mediterranean city of Alexandria, clashes erupted between several hundred protesters and government supporters soon afterward, according to footage by Al-Jazeera television. The protesters threw stones at their rivals, who wielded knives and sticks, until soldiers fired in the air and stepped in between them, said a local journalist, Hossam el-Wakil.

The speech was immediately derided by protesters in Cairo’s Tahrir Square. Watching on a giant TV, protesters booed and waved their shoes over their heads at his image in a sign of contempt. "Go, go, go! We are not leaving until he leaves," they chanted. One man screamed, "He doesn’t want to say it, he doesn’t want to say it."

In the 10-minute address, the 82-year-old Mubarak appeared somber but spoke firmly and without an air of defeat. He insisted that even if the protests had never happened, he would not have sought a sixth term in September.

He said he would serve out the rest of his term working "to accomplish the necessary steps for the peaceful transfer of power. He said he will carry out amendments to rules on presidential elections.

Mubarak, a former air force commander, vowed not to flee the country. "This is my dear homeland … I have lived in it, I fought for it and defended its soil, sovereignty and interests. On its soil I will die. History will judge me and all of us."

The step came after heavy pressure from his top ally, the United States. Soon after Mubarak’s address, President Barack Obama said at the White House that he had spoken with Mubarak and "he recognizes that the status quo is not sustainable and a change must take place." Obama said he told Mubarak that an orderly transition must be meaningful and peaceful, must begin now and must include opposition parties.

Earlier, a visiting Obama envoy — former ambassador to Egypt Frank Wisner, who is a friend of the Egyptian president — met with Mubarak and made clear to him that it is the U.S. "view that his tenure as president is coming to a close," according to an administration official, who spoke on condition of anonymity because of the delicacy of the ongoing diplomacy.

The United States has been struggling to find a way to ease Mubarak out of office while maintaining stability in Egypt, a key ally in the Mideast that has a 30-year-old peace treaty with Israel and has been a bulwark against Islamic militancy.

Mubarak would be the second Arab leader pushed from office by a popular uprising in the history of the modern Middle East, following the ouster last month of the president of Tunisia — another North African nation.

The U.S. ambassador in Cairo, Margaret Scobey, spoke by telephone Tuesday with Nobel Peace laureate Mohamed ElBaradei, the embassy said. ElBaradei, a pro-democracy advocate and one of the opposition’s most prominent leaders, has taken a key role in formulating the movement’s demands. He is also a member of a new committee formed by various factions to conduct any future negotiations on the protesters’ behalf once Mubarak steps down.

There was no immediate word on what he and Scobey discussed.

Only a month ago, reform activists would have greeted Mubarak’s announcement with joy — many Egyptians believed Mubarak was going to run again despite health issues. But after the past week of upheaval, Mubarak’s address struck many of his opponents as inadequate.

"The people have spoken. They said no to Mubarak, and they will not go back on their words," said Saad el-Katatni, a leading member of the Muslim Brotherhood. "Enough suffering. Let him go, and leave the Egyptians to sort themselves out."

Ayman Nour, a former presidential candidate who is a member of the negotiating committee, said Mubarak clearly didn’t get the message.

"This is a unique case of stubbornness that will end in a disaster," he said. "It is only expected that he wasn’t going to run because of his age… He offered nothing new."

Tuesday’s protest marked a dramatic escalation that organizers said aims to drive Mubarak out by Friday, with more than 250,000 people flooding into Tahrir, or Liberation, Square.

Protesters jammed in shoulder to shoulder: farmers and unemployed university graduates, women in conservative headscarves and women in high heels, men in suits and working-class men in scuffed shoes. Many in the crowd traveled from rural provinces, defying a government transportation shutdown and roadblocks on intercity highways.

They sang nationalist songs, danced, beat drums and chanted the anti-Mubarak slogan "Leave! Leave! Leave!" as military helicopters buzzed overhead. Similar demonstrations erupted in at least five other cities around Egypt.

Soldiers at checkpoints set up at the entrances of the square did nothing to stop the crowds from entering. The military promised on state TV Monday night that it would not fire on protesters answering a call for a million to demonstrate, a sign that army support for Mubarak may be unraveling.

The movement to drive Mubarak out has been built on the work of online activists and fueled by deep frustration with an autocratic regime blamed for ignoring the needs of the poor and allowing corruption and official abuse to run rampant. After years of tight state control, protesters emboldened by the Tunisia unrest took to the streets on Jan. 25 and mounted a once-unimaginable series of protests across this nation of 80 million.

The repercussions were being felt around the Mideast, as other authoritarian governments fearing popular discontent pre-emptively tried to burnish their democratic image.

Jordan’s King Abdullah II fired his government Tuesday in the face of smaller street protests, named an ex-prime minister to form a new Cabinet and ordered him to launch political reforms. The Palestinian Cabinet in the West Bank said it would hold long-promised municipal elections "as soon as possible."

Egypt’s protesters have rejected earlier concessions by Mubarak, including the dissolution of his government, the naming of a new one and the appointment of a vice president, Omar Suleiman, who offered a dialogue with "political forces" over constitutional and legislative reforms.

In an interview with Al-Arabiya television Tuesday, ElBaradei dismissed Suleiman’s offer, saying there could be no negotiations until Mubarak leaves. In his speech, Mubarak said the offer still stands and promised to change constitutional articles that allow the president unlimited terms and limit those who can run for the office.

Egypt’s state TV on Tuesday ran a statement by the new prime minister, Ahmed Shafiq, pleading with the public to "give a chance" to his government.

The United States ordered nonessential U.S. government personnel and their families to leave Egypt. They join a wave of people rushing to flee the country — over 18,000 overwhelmed Cairo’s international airport and threw it into chaos. EgyptAir staff scuffled with frantic passengers, food supplies were dwindling and some policemen even demanded substantial bribes before allowing foreigners to board their planes.

Banks, schools and the stock market in Cairo were closed for the third working day, making cash tight. Bread prices spiraled. An unprecedented shutdown of the Internet was in its fifth day.

The official death toll from the crisis stood at 97, with thousands injured, though reports from witnesses across the country indicated the actual toll was far higher.

But perhaps most startling was how peaceful the protests have been in recent days, after the military replaced the police around Tahrir Square and made no move to try to suppress the demonstrations. No clashes between the military and protesters have been reported since Friday night, after pitched street battles with the police throughout the day Friday.

Egypt’s military leadership has reassured the U.S. that they do not intend to crack down on demonstrators, but instead they are allowing the protesters to "wear themselves out," according to a former U.S. official in contact with several top Egyptian army officers. The official spoke on condition of anonymity to discuss private conversations.

Troops alongside Soviet-era and newer U.S.-made Abrams tanks stood guard at roads leading into Tahrir Square. Protester volunteers wearing tags reading "the People’s Security" circulated through the crowds in the square, saying they were watching for government infiltrators who might try to instigate violence. Organizers said the protest would remain in the square and not attempt to march to the presidential palace to avoid frictions with the military.

Two effigies of Mubarak dangled from traffic lights. On their chests was written: "We want to put the murderous president on trial." Their faces were scrawled with the Star of David, an allusion to many protesters’ feeling that Mubarak is a friend of Israel, still seen by most Egyptians as their country’s archenemy more than 30 years after the two nations signed a peace treaty.

Every protester had their own story of why they came — with a shared theme of frustration with a life pinned in by corruption, low wages, crushed opportunities and abuse by authorities. Under Mubarak, Egypt has seen a widening gap between rich and poor, with 40 percent of the population living under or just above the poverty line set by the World Bank at $2 a day.

Sahar Ahmad, a 41-year-old school teacher and mother of one, said she has taught for 22 years and still only makes about $70 a month.

"There are 120 students in my classroom. That’s more than any teacher can handle," said Ahmad. "Change would mean a better education system I can teach in and one that guarantees my students a good life after school. If there is democracy in my country, then I can ask for democracy in my own home."

Tamer Adly, a driver of one of the thousands of minibuses that ferry commuters around Cairo, said he was sick of the daily humiliation he felt from police who demand free rides and send him on petty errands, reflecting the widespread public anger at police high-handedness.

"They would force me to share my breakfast with them … force me to go fetch them a newspaper. This country should not just be about one person," the 30-year-old lamented, referring to Mubarak.

Among the older protesters, there was also a sense of amazement after three decades of unquestioned control by Mubarak’s security forces over the streets.

"We could never say no to Mubarak when we were young, but our young people today proved that they can say no, and I’m here to support them," said Yusra Mahmoud, a 46-year-old school principal who said she had been sleeping in the square alongside other protesters for the past two nights.

Authorities shut down all roads and public transportation to Cairo and in and out of other main cities, security officials said. Train services nationwide were suspended for a second day and all bus services between cities were halted.

Still, many from the provinces managed to make it to the square. Hamada Massoud, a 32-year-old lawyer, said he and 50 others came in cars and minibuses from the impoverished province of Beni Sweif south of Cairo.

"Cairo today is all of Egypt," he said. "I want my son to have a better life and not suffer as much as I did … I want to feel like I chose my president."

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AP correspondents Maggie Michael, Maggie Hyde, Lee Keath and Michael Weissenstein in Cairo and Kimberly Dozier in Washington contributed to this report.