"Uh, Keltham, sorry about this, I finished my math problem a couple of minutes earlier, and then was so fascinated by the problem you're implicitly trying to solve that I forgot to poke you about it.  I have an idea that so far as I can tell means the Conspiracy just loses, am I supposed to tell you about it or wait for you to think of it?"

because if she can't solve it maybe Keltham can

"Uh, Keltham, sorry about this, I finished my math problem a couple of minutes earlier, and then was so fascinated by the problem you're implicitly trying to solve that I forgot to poke you about it.  I have an idea that so far as I can tell means the Conspiracy just loses, am I supposed to tell you about it or wait for you to think of it?  Because I don't have any way of knowing if you've already thought of it, and this idea seems to me like a strong test even if the Conspiracy thinks of it first.  I could be missing something of course."

because if she can't solve it maybe Keltham can

"Uh, Keltham, sorry about this, I finished my math problem a couple of minutes earlier, and then was so fascinated by the problem you're implicitly trying to solve that I forgot to poke you about it.  I have an idea that so far as I can tell means the Conspiracy just loses, am I supposed to tell you about it or wait for you to think of it?  Because I don't have any way of knowing if you've already thought of it, and this idea seems to me like a strong test even if the Conspiracy thinks of it first.  I could be missing something of course."

because even if she can't solve it maybe Keltham can

"Uh, Keltham, sorry about this, I finished my math problem a couple of minutes earlier, and then was so fascinated by the problem you're implicitly trying to solve that I forgot to poke you about it.  I have an idea that so far as I can tell means the Conspiracy just loses, am I supposed to tell you about it or wait for you to think of it?  Because I don't have any way of knowing if you've already thought of it, and this idea seems to me like a strong test even if the Conspiracy thinks of it first.  I could be missing something of course."

because even if she can't solve it maybe Keltham CAN

"Uh, Keltham, I have an idea that so far as I can tell means the Conspiracy just loses.  Am I supposed to tell you about it or wait for you to think of it?  Because I don't have any way of knowing if you've already thought of it, and this idea seems to me like a strong test even if the Conspiracy thinks of it first.  I could be missing something of course."

because even if she can't solve it maybe Keltham CAN