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According to the 2000 Wisden, the prime year 1949 had the most dry days (96 out of 123) of any English summer during the 20th century.

The year 1949 was the first year in which the number of member states in the United Nations was a prime (namely 59). [Post]

The year in which Erdos and Selberg independently gave several "elementary proofs" (i.e., based on number-theoretic methods free of complex analysis) of the celebrated Prime Number Theorem (PNT) is an emirp that uses all of the square digits. [Beedassy]