Recent content by Mensanator

smallest positive integer (a) such that (g) is also an integer in g = (8a - 5)/9

Shouldn't that be (5,-5)?

Suppose you had a 13 hour clock, labeled 0 to 12. Start at 0 and go counterclockwise 104 hours (since you went counterclockise, that's -104 hours. Youl'll find yourself ack at 0 (since 104/13=8). But wait, we went too far, so go clockwise 3 hours and we'll see that the clock reads 3 for...

What is happening?

------------------------------------- It's a dwarf integer. Dammit, why does it complain that my message is too short? Here I'm trying to post a witty response and I have to put up with this crap. Dammit, still need 4 more characters. Oh wait, I just realizes, my message was too...

What about 1 more than a perfect square (N=2)? Or 4 short (N=7,N=9,N=191,N=192,N=994)? Wouldn't they be considered 'small' examples?

Oh, I forgot to mentio: if you don't like A=1, pick another. In a linear congruence, if A is a solution, so is A+Y, or A+nY, for that matter. So we can chose any A, as long as it's a multiple of four plus one. For instance, we can pick A=1001 and recalculate B (B=834), giving us: 1001*9...

To solve for 12345, re-arrange your formula to (AX-M)/Y=-B In this form, iy's a Linear Congruence, so you can use the Modular Inverse of X&Y to find A as follows: A = invert(X,Y)*M (mod Y) = 1*12345%4 = 1 then solve fo B: (1*9-12345)/4=-B -3084 = -B B = 3084Be careful, though. You CAN...

It whows us that there is an infinite number of ways to do something wrong.

Just count in binary. You can get to31 on just one hand.

The answer IS 13. I think you miscounted the 10s. I get 8+2+4+2+2+2

Good. Now you know that the successor of 0mod4 is 1mod4. Now you just need to find the successor of 1mod4. When you have figured out the successor rules, you just need to find the initial state. Then, with the successor rules in hand, you can build a state machine. As uou already know, not every...

If you had a sequence of squares, how could you find the next one? (without using the square function)

Doesn't it have something to do with Base 60? Much like themetric system is based on decimals?

Use Python: >>> 20**103 101412048018258352119736256430080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 >>>