What is the prime Ulam #'s ratio?

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What are Ulam #'s? A ulam #, if an only if it can be written uniquely as the sumof two distinct Ulam #'s. ?

I need to make a list of the firts 20 Ulam #'s. I got the first 8. It's there any formanula or something easy to do it?

How many Ulam number are thre? Prove answer




EXTRA HELP!

Write a program that will generate all Ulam #'s less than a given number n. Use your progam to find all the Ulam numbers less than 1000. I am not good with calculator plus I don't have manual, I have a TI-83.:confused:

How many are there? ?

What portion of these are prime? Prime is a number divisible by one and by itself only... right?
 
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There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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