It was not clear what effect the attempt to pre-empt the protests would have. Open Russia within the country declared that it was independent of the British headquarters and not covered by the ban, and therefore would proceed with attempts to mobilize antigovernment marches in some 30 cities on Saturday.
A statement distributed on Twitter by the Khodorkovsky Center quoted Mikhail Khodorkovsky as telling the independent television station Rain that the domestic organization “exists separately and will continue to operate.” In the statement, Mr. Khodorkovsky, a former chairman of the Yukos oil giant who spent several years in prison before being pardoned by President Vladimir V. Putin in 2013, predicted that the ban would backfire.
“I think that such a terrified reaction from the government will only motivate more people to come out into the streets and tell those in power that if they cannot run the country properly, and solve the issues that face Russian society, then they should leave,” he said.
The Kremlin was taken by surprise on March 26 when thousands of Russians in some 80 cities, many of them young people, responded to a call by the opposition leader Alexei A. Navalny to protest against widespread government corruption. Open Russia, which had been weighing how to support opposition candidates, recently indicated that it would try to work more closely with Mr. Navalny. Mr. Navalny, although jailed for 15 days after the protests, has continued his antigovernment drumbeat.
In a video released on Tuesday he made new accusations against the prime minister, Dmitri A. Medvedev, claiming that four organizations falsely labeled charities spent $66 million in 2016 to maintain various estates used by Mr. Medvedev. An earlier Navalny video, accusing Mr. Medvedev of amassing estates, vineyards and yachts through corrupt charities and shell companies, helped inspire the March rallies.
Before the ban was announced on Wednesday, Open Russia provoked some dismay among opposition groups by posting on Twitter a picture of the naked torso of a woman with each breast covered only by a strip of yellow tape printed with the Russian word “nadoel” or “tired” (meaning of the government). The caption on the post read “Waiting for you on 29.04.” The Twitter message pushing for the demonstrations was denounced in opposition circles as being overtly “sexist.”
Mr. Khodorkovsky, 53, once Russia’s richest oligarch, was arrested in 2003 and convicted on charges of fraud, embezzlement and money laundering. Since his pardon, he has lived abroad, becoming one of the Kremlin’s most outspoken critics.
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