MathDB
Prime Numbers

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January 19, 2006
number theoryprime numbers

Problem Statement

Find the sum of all prime numbers between 1 1 and 100 100 that are simultaneously 1 1 greater than a multiple of 4 4 and 1 1 less than a multiple of 5 5. <spanclass=′latex−bold′>(A)</span> 118<spanclass=′latex−bold′>(B)</span> 137<spanclass=′latex−bold′>(C)</span> 158<spanclass=′latex−bold′>(D)</span> 187<spanclass=′latex−bold′>(E)</span> 245 <span class='latex-bold'>(A)</span>\ 118\qquad <span class='latex-bold'>(B)</span>\ 137\qquad <span class='latex-bold'>(C)</span>\ 158\qquad <span class='latex-bold'>(D)</span>\ 187 \qquad <span class='latex-bold'>(E)</span>\ 245
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