# Category:Open Questions

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This category contains results about **Open Questions**.

Definitions specific to this category can be found in **Definitions/Open Questions**.

A **hypothesis** is a statement that is made whose truth value has not been established, but which is *believed* to be true.

The underlying idea is that its truth or falsehood is **about to be investigated**.

A **hypothesis** is considered by some branches of philosophy as being synonymous with the words **wild guess**[1].

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Open Questions"

The following 57 pages are in this category, out of 57 total.

### A

- Are all Almost Perfect Numbers Even?
- Are All Perfect Numbers Even?
- Are All Triperfect Numbers Even?
- Are Irrational Square Roots Normal?
- Are there any more Fermat Primes?
- Are there Any More Unitary Perfect Numbers?
- Are there any Palindromic Fifth Powers?
- Are there any Palindromic Fourth Powers with Non-Palindromic Roots?
- Are there Integers which are Sum of 2 Fifth Powers in 2 Ways?

### C

### D

### E

### I

- Is 2 to the power of Euler's Number Rational?
- Is 2 to the power of Pi Rational?
- Is Apéry's Constant Transcendental?
- Is Catalan's Constant Irrational?
- Is Euler's Number Normal?
- Is Euler's Number to the power of Euler's Number Rational?
- Is Euler's Number to the power of Pi Squared Rational?
- Is Euler-Mascheroni Constant Irrational?
- Is Log of Pi Rational?
- Is Pi multiplied by Euler's Number Rational?
- Is Pi Normal?
- Is Pi plus Euler's Number Rational?
- Is Pi to the power of Euler's Number Rational?
- Is the Mandelbrot Set Locally Connected?
- Is there a Limit to the Multiplicative Persistence of a Number?
- Is there an Infinite Number of Palindromic Primes?
- Is there an Infinite Number of Primes of Form n^2 + 1?
- Is there an Infinite Number of Repunit Primes?