Next (2) what is the next number?

[holomorphic]

What is the next number?

4, 9, 25, 49, 22, 52, 136, 19, ...?

EDIT: bonus, find the next TWO terms. With a few random guesses you could find the next term at this point.

 

[Dickfore]

I found that each term has the concurrent prime factor.

4 = 2*2

9 = 3*3

25 = 5*5

49 = 7*7

22 = 2*11

52 = 4*13

136 = 8*17

19 = 1* 19

I don't know what to say about the other factors.

 

[micromass]

Is the next number 69? Just a guess...

 

[holomorphic]

Is the next number 69? Just a guess...

No, but you could probably make a few more guesses like that and get it.

Even if that's cheap =P

 

[micromass]

Ah, then it must be 5*23.

The last factors are all the primes, and the first factors are the primes modulo 9...

Is that correct?

 

[Dickfore]

How is 4 or 8 prime?

 

[holomorphic]

Ah, then it must be 5*23.

The last factors are all the primes, and the first factors are the primes modulo 9...

Is that correct?

Yep yep yep. A.

 

[Ynaught?]

115 and 58 are the next two followed by 124, 37, 205, and 301.

 

[holomorphic]

How is 4 or 8 prime?

They aren't. But 4 = 13 MOD 9, and 8 = 17 MOD 9.

 

[Dickfore]

They aren't. But 4 = 13 MOD 9, and 8 = 17 MOD 9.

Ah, I see.

 

[Dickfore]

Don't double post:

http://www.wolframalpha.com/input/?i=Table[Mod[Prime[k

 

[holomorphic]

Don't double post:

http://www.wolframalpha.com/input/?i=Table[Mod[Prime[k

Who double posted?

 

[Dickfore]

Who double posted?

I did.