The Soviet Union rushed to develop their first bomb in the late 1940's, and succeeded with a test nicknamed "Joe 1", in honor of Stalin, in 1949.
Joe 1, detonated August 29,1949 at the Semipalatinsk Test Site, Kazakhstan.
The first Soviet H-bomb November 22,1955 at the Semipalatinsk Test Site, Kazakhstan

The Chagan 1 test on January 15, 1965.
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This was the Soviet Union's first "industrial nuclear explosion", the equivalent of the US "Plowshare" program for developing peaceful nuclear explosives (PNEs).
Lake Chagan was formed by the Chagan tests.
Most of these Soviet tests took place at the Semipalatinsk test area or at the Arctic test range on and around Novya Zemlya.
A major source of information is nuclearweaponarchive.org. And thanks to greenwood and ink_polaroid for assistance with the databases.
To find out about all testing by all countries, go here.
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