- View SourcePowers of Two Numbers are

1

21

421

8421

168421

32168421

6432168421

1286432168421

...

The conjecture is that 421 is the only Power of Two Prime.

The other conjecture is that alternate power of two numbers

are divisible by 3.

Milton L. Brown - View Source
> The other conjecture is that alternate power of two numbers

Proof:

> are divisible by 3.

Sum(i=0..N, 10^something(i)*2^i) mod 3 =

Sum(i=0..N, 2^i) mod 3 =

2^(N+1)-1 mod 3 =

0 for odd N, 1 for even N.

Q.E.D.

Peter

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[Name] Peter Kosinar [Quote] 2B | ~2B = exp(i*PI) [ICQ] 134813278