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They have fallen sharply over the past year but remain well above the 230,000 weekly figure typical before the pandemic struck.
The number last week was 576,000 claims, down sharply from a peak of 900,000 in early January.
The IRS says the process of recalculating taxpayer returns will stretch into the summer.
Still, a total of 18.9 million people are continuing to collect jobless benefits, up from 18.2 million in the previous week.
The four-week average of claims, which smooths out weekly variations, dropped to 746,000, the lowest since late November.
There are many theories, including unemployment benefits being too high, a skills mismatch and low wages.
It's evidence fewer employers are cutting jobs amid a decline in confirmed coronavirus cases and signs of an improving economy.