# Randomness can be a useful tool for solving problems.

Algebra

### Re: Randomness can be a useful tool for solving problems.

Remarks: Our analysis is a mess! Maybe it's time retire... We are discouraged at this point.

And we shall focus our attention elsewhere.

We apologize for the flawed analysis. But all is not lost... And there's always hope.

Dave
Guest

### Re: Randomness can be a useful tool for solving problems.

Guest wrote:Remarks: Our analysis is a mess! Maybe it's time to retire... We are discouraged at this point.

And we shall focus our attention elsewhere.

We apologize for the flawed analysis. But all is not lost... And there's always hope.

Dave
Guest

### Re: Randomness can be a useful tool for solving problems.

Remarks: We expect no feedback from our readers (mathematicians). What a predicament!

Dave.

P.S. Yes, it's time to retire and focus our energies elsewhere. Goodbye!
Guest

### Re: Randomness can be a useful tool for solving problems.

$$\sum_{k=1}^{\infty }\frac{cos(2 \pi k \sqrt{I + \lambda^{2}})}{k} = \infty$$ if $$\sqrt{I + \lambda^{2}}$$ is a positive integer.

The answer is the very important Harmonic Series! And that's all folks!
Guest

### Re: Randomness can be a useful tool for solving problems.

Guest wrote:Remarks: Our analysis is a mess! Maybe it's time retire... We are discouraged at this point.

And we shall focus our attention elsewhere.

We apologize for the flawed analysis. But all is not lost... And there's always hope.

Dave

Hey Dave,

Guest

### Re: Randomness can be a useful tool for solving problems.

Please crack (factor) I (see attached file) in polynomial time ('prime time'). Good luck!
Attachments
I is a 1000-Digit Integer that is a product of two unknown primes, p and q, each with 500 digits.-converted.pdf
Guest

### Re: Randomness can be a useful tool for solving problems.

Guest wrote:Please crack (factor) I (see attached file) in polynomial time ('prime time'). Good luck!

Time is up! What's the answer?

We want to know. Thanks!
Guest

### Re: Randomness can be a useful tool for solving problems.

Guest wrote:
Guest wrote:Please crack (factor) I (see attached file) in polynomial time ('prime time'). Good luck!

Time is up! What's the answer?

We want to know. Thanks!

The correct answer will win 4 ripe and delicious apples! Yum. Yum...

2.37 - 2.33 = .004 Right
Guest

### Re: Randomness can be a useful tool for solving problems.

2.37 - 2.33 = .04 Right
Guest

### Re: Randomness can be a useful tool for solving problems.

[quote="Guest"]Please crack (factor) I (see attached file) in polynomial time ('prime time'). Good luck!