What US State is triply landlocked --( a resident must cross three states to reach an ocean, gulf, or bay)?

Definition: Strictly non-palindromic number or SNP number n is a number not palindromic in any base b with 2 ≤ b ≤ n-2.

Equipped only with the above definition you are asked to perform the following tasks:

1. Show that 47 is a SNP number.

2. Write down the 1st 7 members of an increasing sequence of SNP numbers.

3. Explain the reason for defining b=n-2 as the upper limit.

4. Prove that all SNP numbers above 6 are prime, but not all primes are SNP numbers.

<this word> has one I, two Ls, three Ns, four Es, and five Ss.

Find it and its meaning.

Source: Discovered by Sir Jeremy Morse.

Two concentric circles of radius R and r, with R>r are both intersected by the same secant line. The points of intersection, in order, are A,B,C,D.

Prove AC*CD is constant.