Another series

Originally posted by forkedknight
This one may be too difficult to solve by inspection, so I'll provide the hint that I thought of this series based on the similar thread started by Agerg a few days ago.

I'll start by listing the first 10 elements of the series. The goal to is identify the next number in the series. I'll provide additional numbers if I think they'll help, or if you ask nicely.

41, 82, 23, 64, 5, 46, 87, 28, 69, 10

Reveal Hidden Content

Originally posted by forkedknight
This one may be too difficult to solve by inspection, so I'll provide the hint that I thought of this series based on the similar thread started by Agerg a few days ago.

I'll start by listing the first 10 elements of the series. The goal to is identify the next number in the series. I'll provide additional numbers if I think they'll help, or if you ask nicely.

41, 82, 23, 64, 5, 46, 87, 28, 69, 10

Reveal Hidden Content

Originally posted by FabianFnas
The llast number 10 I don't understand. If it was a plain zero, I'd know the series. Or rather the cycle.

Edit: wait... What about [hidden]51[/hidden]?

Reveal Hidden Content

Originally posted by luskin
Yes, [hidden]51[/hidden] looks good.

Originally posted by forkedknight
Very good guys, I was trying to center the problem around finding the 100th prime (541) and modulo 100, but my puzzler creating skill (and my modular arithmetic skills) are obviously lacking.

Let's try another.

Same vain of thought, hopefully a less obvious algorithm.

1, 30, 38, 53, 26, 62, 35, 50, 58, 10

Originally posted by forkedknight
Not as quick of a response to this one, so I'll provide another hint.

The modulus is 77.

Originally posted by forkedknight
Alright, too hard.

How about this:

A message is encoded via RSA public key (13,77)
It reads:
32 58 49

What does it say?