MyWikiBiz, Author Your Legacy — Sunday November 24, 2024
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, 11:09, 3 February 2010
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| ==Idea== | | ==Idea== |
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− | Let <math>\text{p}_i\!</math> be the <math>i^\text{th}\!</math> prime, taking <math>2\!</math> as the <math>1^\text{st}\!</math> prime in the sequence that begins as follows: | + | Let <math>\text{p}_i</math> be the <math>i^\text{th}</math> prime, where <math>i</math> is a positive integer called the ''index'' of the prime <math>\text{p}_i</math> and the indices are taken such that <math>\text{p}_1 = 2.</math> Thus the sequence <math>\text{p}_i</math> begins as follows: |
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| {| align="center" cellpadding="6" width="90%" | | {| align="center" cellpadding="6" width="90%" |
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| \end{matrix}</math> | | \end{matrix}</math> |
| |} | | |} |
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− | The positive integer <math>i</math> is the ''index'' of the prime <math>\text{p}_i.</math>
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| Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math> | | Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math> |