Wednesday, October 15, 2008

29

29 is the smallest multidigit prime number whose product of digits of its cube is also a cube: 293 = 24389 and 2 x 4 x 3 x 8 x 9 = 1728 = 123. 29 is also a Sophie Germain prime because 2 x 29 + 1 = 59 is prime.

29 has a representation as a sum of two squares: 29 = 22 + 52.

29 is the smallest prime equal to the sum of three consecutive squares: 22 + 32 + 42 = 29.

The
29th power of 2 is the largest power to 2 to have all different digits.

29 is the seventh Lucas number.

29 and 31 form a twin prime pair.

29 is the hypotenuse of a primitive Pythagorean triple: 292 = 202 + 212.



The extra day in a leap year is February
29.

Source:
Number Gossip
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