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#### mente oscura

##### Well-known member

- Nov 29, 2013

- 172

All "odd" number can be expressed as a sum of consecutive natural numbers.

Example:

[tex]35=17+18[/tex]

[tex]35=5+6+7+8+9[/tex]

[tex]35=2+3+4+5+6+7+8[/tex]

Question:

Demonstrate that prime numbers (except for the "2"), can only be expressed as the sum of two consecutive natural numbers.