Speaking just before huddling again with Iranian Foreign Minister Mohammad Javad Zarif yesterday, Kerry said Washington still believed an accord was possible by a November deadline.
"It remains our fervent hope that Iran and the P5+1 can in the next weeks come to an agreement that would benefit the world," the US secretary of state told a meeting at the UN on the Comprehensive Nuclear Test Ban Treaty (CTBT).
Dismissing skepticism about the twists and turns of the complex negotiations led by a group of nations known as the P5+1, Kerry said the talks had already borne fruit.
But Iranian President Hassan Rouhani, who is impatient to see crippling economic sanctions against his country lifted, said the pace of the negotiations had to be picked up.
"The remaining time for reaching an agreement is extremely short. Progress that has been witnessed in the last few days has been extremely slow," Rouhani told reporters at the UN.
After a bid to reach a comprehensive deal to rein in Iran's suspect nuclear program by July failed, the negotiators set a new deadline of November 24.
"The progress realized so far has not been significant," he said. "We must strive forward and take more significant steps."
But US officials have said they are awaiting more moves from Iran.
One of the thorniest issues is the question of enrichment.
The West wants Iran to dismantle virtually all but a few thousand of its 19,000 centrifuges which can be used to develop weapons-grade uranium.
But Iran bristles at destroying machines in which it has invested billions of dollars, and says it should retain the right to enrich for its civilian nuclear energy program.
Russian Foreign Minister Sergei Lavrov said he remained "cautiously optimistic" amid the negotiations being led by Britain, China, France, Russia, the United States plus Germany.
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