Tuesday, April 12, 2011

1237

1237 is a prime number.

1237 has a representation as a sum of two squares: 1237 = 92 + 372.

1237 is the hypotenuse of a primitive Pythagorean triple: 12372 = 6122 + 12752.

12372 - (1237 - 5)2 = 12345.

1237 is also a prime number when its digits are reversed (emirp): 7321. It is the smallest 4-digit emirp with distinct digits. The sum of its digits, 1 + 2 + 3 + 7 = 13, is equal to the smallest double-digit emirp. 1237 is an emirp formed from the number 12 and the 12th prime; its reversal (7321) is formed from the 21st prime and the number 21.

1237 Geneviรจve is an asteroid discovered in 1931.

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