## FANDOM

765,026 Pages

2012
2014
2013
Cardinal two thousand and thirteen
Ordinal 2013th
({{{cardinal}}}{{{ordinal}}})
Roman numeral MMXIII
Binary 111110111012
Octal 37358
Duodecimal 11B912

2013 (two thousand thirteen) is the number following 2012 and preceding 2014.

It and its two successors 2014 and 2015 all have three distinct prime factors. There are only two earlier triples of numbers with the same property, starting at 1309 and 1885.[1]

2013 may be represented by a sum or difference of squares of prime numbers as 312 + 292 + 172 − 72 − 52 − 22. It is the smallest number whose representations all use at least one prime greater than or equal to 31.[2]

## References

1. "Sloane's A066509 : The first of a triple of consecutive integers, each the product of three distinct primes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
This article uses material from the Wikipedia article 2013 (number), that was deleted or is being discussed for deletion, which is released under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
 Author(s): 50.74.2.12 Search for "2013 (number)" on GoogleView Wikipedia's deletion log of "2013 (number)"
2. "Sloane's A089295 : First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
This article uses material from the Wikipedia article 2013 (number), that was deleted or is being discussed for deletion, which is released under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
 Author(s): 50.74.2.12 Search for "2013 (number)" on GoogleView Wikipedia's deletion log of "2013 (number)"
This article uses material from the Wikipedia article 2013 (number), that was deleted or is being discussed for deletion, which is released under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
 Author(s): Mike Rosoft Search for "2013 (number)" on GoogleView Wikipedia's deletion log of "2013 (number)"