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## A Prime (Number) Problem

Riddles are little poems or phrases that pose a question that needs answering. Riddles frequently rhyme, but this is not a requirement.

 Puzzle ID: #47851 Fun: (2.12) Difficulty: (0.97) Category: Riddle Submitted By: rlc327

There is a number that fulfills all of the following criteria/rules:

1. It is prime.
2. It is a whole number.
3. It is greater than or equal to 1.
4. If you double it, square it, and add itself to it, you get the same single digit even number answer for each operation.

What is this number?

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 guelmik Aug 29, 2010 too easy... racoonieboy Aug 30, 2010 N*N=N^2 N*N=N^N Therefore, N=2. racoonieboy Aug 30, 2010 Erm... I made a mistake on above comment. It said square. (What was I thinking?) I meant to say: N*2=N+N N*N=N+N Therefore, N=2 rlc327 Aug 30, 2010 I wasn't planning on making it difficult, just exploiting a little mathematical "quirk". cutieluck Aug 30, 2010 it wuz pretty easy but it wuz nice to kno (: Stack1607 Sep 02, 2010 easy but nice one! kwelchans Sep 03, 2010 Doubling a number is the same as adding the number to itself. Therefore, the 4th criterion is redundant. rlc327 Sep 03, 2010 I'm perfectly aware that the 4th criterion is redundant. orion Dec 28, 2010 TOOK me a minute but i got it zizorizo Jan 17, 2011 we took that one in KG lol , just type " the only even prime number "