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Original 2026-01-01
Modified 2026-02-28
1 <p>The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow the following steps:</p>
1 <p>The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow the following steps:</p>
2 <p><strong>Step 1:</strong>Write numbers from 1 to 100 in 10 rows and 10 columns.</p>
2 <p><strong>Step 1:</strong>Write numbers from 1 to 100 in 10 rows and 10 columns.</p>
3 <p><strong>Step 2:</strong>Leave 1 without marking, as it is neither prime nor composite.</p>
3 <p><strong>Step 2:</strong>Leave 1 without marking, as it is neither prime nor composite.</p>
4 <p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the<a>multiples</a>of 2.</p>
4 <p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all the<a>multiples</a>of 2.</p>
5 <p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>
5 <p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all the multiples of 3.</p>
6 <p><strong>Step 5:</strong>Repeat this process until you reach the table consisting of marked and crossed boxes, except 1. Through this process, we will have a list of prime numbers up to 100.</p>
6 <p><strong>Step 5:</strong>Repeat this process until you reach the table consisting of marked and crossed boxes, except 1. Through this process, we will have a list of prime numbers up to 100.</p>
7 <p>The list is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Since 1225 is not on the list and is greater than 100, this method involves checking numbers up to the<a>square root</a>of 1225, which shows that it is not a prime number.</p>
7 <p>The list is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Since 1225 is not on the list and is greater than 100, this method involves checking numbers up to the<a>square root</a>of 1225, which shows that it is not a prime number.</p>
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