During this time, the island's overall ice cover may have dropped by more than 90 per cent.
Previous studies suggested that Greenland's ice shrank in the distant past, but for the first time scientists found how long Greenland endured without its usual frozen cover.
The discovery hints that its surface ice was more variable than once thought - which does not bode well for its future stability in a warming world, researchers said.
Researchers gathered data from isotopes, beryllium 10 and aluminium 26, extracted from bedrock minerals.
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These isotopes originated in the only rocky core ever extracted from land underneath Greenland ice, drilled at the Greenland Ice Sheet (GIS) summit in 1993.
Minerals from this solitary core are second only to moon rocks in their rarity and importance, as they are the only existing evidence of Greenland's extant bedrock, according to Joerg Schaeffer, from the Columbia University's Lamont-Doherty Earth Observatory in the US.
In order to get to the isotopes, researchers dissolved minerals with acid so they could observe the atoms.
The research was published in the journal Nature.
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