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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.
DEAL * DEAL = ----DEAL
Replace dashes by decimal digits,
using reasoning only.
There is only one solution!
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