Tuesday, August 13, 2013

1802

1802 = 2 x 17 x 53.

1802 is the smallest number not ending in zero that can be represented as the sum of the squares of distinct primes in two different ways: 1802 = 112 + 412 = 292 + 312.

1802 is 2110202 in base 3, 24202 in base 5, and 12202 in base 6. It is 802 in base 15.

1802 is the sum of eight successive primes (A127335): 1802 = 199 + 211 + 223 + 227 + 229 + 233 + 239 + 241.

1802 is the number of 2 x 2 integer matrices with elements from {1, . . ., 32} whose determinant is 2 (A197168).

1802 is the maximum number of regions the plane is divided into by 25 triangles (A077588).


Source: Prime Curios!

No comments:

Post a Comment