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2026-01-01
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2026-02-28
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<p>A Greek mathematician, Eratosthenes found a very interesting and easy method to find out prime numbers. It is called “The Sieve of Eratosthenes”. This chart will give you a better<a>understanding of</a>the prime numbers.</p>
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<p>A Greek mathematician, Eratosthenes found a very interesting and easy method to find out prime numbers. It is called “The Sieve of Eratosthenes”. This chart will give you a better<a>understanding of</a>the prime numbers.</p>
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<p><strong>Step 1:</strong>Firstly, determine the range of numbers to check.</p>
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<p><strong>Step 1:</strong>Firstly, determine the range of numbers to check.</p>
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<p>To use the Sieve of Eratosthenes, we first find the<a>square root</a>of 73. The square root of 73 is approximately 8.5, so we need to find all prime numbers up to 8. The prime numbers that are<a>less than</a>or equal to 8 are 2, 3, 5, or 7.</p>
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<p>To use the Sieve of Eratosthenes, we first find the<a>square root</a>of 73. The square root of 73 is approximately 8.5, so we need to find all prime numbers up to 8. The prime numbers that are<a>less than</a>or equal to 8 are 2, 3, 5, or 7.</p>
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<p><strong>Step 2:</strong>Use the Sieve of Eratosthenes method </p>
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<p><strong>Step 2:</strong>Use the Sieve of Eratosthenes method </p>
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<p>Start with a list of numbers from 2 to 73. Like 2, 3, 4,5, 6, 7, 8, 9,.......,73.</p>
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<p>Start with a list of numbers from 2 to 73. Like 2, 3, 4,5, 6, 7, 8, 9,.......,73.</p>
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<p>We begin the process of eliminating non-prime numbers using the Sieve of Eratosthenes. In this method, we systematically remove all composite numbers by eliminating<a>multiples</a>of each prime number. </p>
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<p>We begin the process of eliminating non-prime numbers using the Sieve of Eratosthenes. In this method, we systematically remove all composite numbers by eliminating<a>multiples</a>of each prime number. </p>
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<p>Eliminate multiples of 2, starting with 4, 6, 8, 10, 12, and so on. Continue eliminating the multiples of 2. </p>
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<p>Eliminate multiples of 2, starting with 4, 6, 8, 10, 12, and so on. Continue eliminating the multiples of 2. </p>
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<p>Eliminate multiples of 3, starting with 6, 9, 12, 15, and so on.</p>
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<p>Eliminate multiples of 3, starting with 6, 9, 12, 15, and so on.</p>
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<p>Eliminate multiples of 5, starting with 10, 15, 20, 25, and so on.</p>
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<p>Eliminate multiples of 5, starting with 10, 15, 20, 25, and so on.</p>
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<p>Eliminate multiples of 7, starting with 14, 21, 28, 35, and so on.</p>
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<p>Eliminate multiples of 7, starting with 14, 21, 28, 35, and so on.</p>
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<p> After performing these steps, the remaining numbers in the list will be the primes less than or equal to 73: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.</p>
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<p> After performing these steps, the remaining numbers in the list will be the primes less than or equal to 73: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.</p>
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<p><strong>Step 4:</strong>Check if 73 is in the list of primes</p>
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<p><strong>Step 4:</strong>Check if 73 is in the list of primes</p>
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<p>The number 73 appears in the list of primes, which means it is not eliminated in the Sieve of Eratosthenes.</p>
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<p>The number 73 appears in the list of primes, which means it is not eliminated in the Sieve of Eratosthenes.</p>
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<p><strong>Step 5:</strong>Since 73 is not divisible by any prime numbers less than or equal to 8, and it remains in the list of primes, 73 is a prime number.</p>
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<p><strong>Step 5:</strong>Since 73 is not divisible by any prime numbers less than or equal to 8, and it remains in the list of primes, 73 is a prime number.</p>
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