**845**= 5 x 13

^{2}.

**845**is 1101001101 in base 2 (binary) and 31031 in base 4; it is 1515 in base 8 and 500 in base 13.

**845**has three representations as a sum of two squares:

**845**= 2

^{2}+ 29

^{2}= 13

^{2}+ 26

^{2}= 19

^{2}+ 22

^{2}.

**845**is the hypotenuse of two primitive Pythagorean triples:

**845**

^{2}= 116

^{2}+ 837

^{2}= 123

^{2}+ 836

^{2}.

**845**is a number

*n*for which 8

*n*+ 1 and 8

*n*+ 3 are twin primes: 8 x

**845**+ 1 = 6761 and 8 x

**845**+ 3 = 6763.

**845**Naema is an asteroid discovered in 1916.

## 1 comment:

Other characters of the number 845

845 can be represented as

845=10^2+13^2+24^2=11^2+18^2+20^2

845=2^10-179=2^4+829^=2^6+521

845 can be represented as Pythagorean triples

845^2=325^2+780^2=429^2+728^2

845^2=507^2+676^2=595^2+600^2

Further partners

845=6^2+809=12^2+701=24^2+269=28^2 +61

The two cousins that make up the product of 845 are of the form 4k +1, then

845 number can be represented as

5=(2+i)(2-i)=2^2+1^2=(2+i)(1+2i)(-i)

13=(3+2i)(3-2i)=3^2+2^2=(3+2i)(2+3i)(-i), then

845=(2+i)(1+2i)[(3+2i)(2+3i)]^2 (i)=5*13^2

Rafael Parra Machio

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