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Pierre Trudeau was prime minster of Canada for approximately 1515 years. He died in the year 20002000. The year of his birth is the product of 22 prime numbers. One of these prime numbers is the smallest 33 digit prime number. What is the sum of the digits that make up the year of his birth

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Q. Pierre Trudeau was prime minster of Canada for approximately 1515 years. He died in the year 20002000. The year of his birth is the product of 22 prime numbers. One of these prime numbers is the smallest 33 digit prime number. What is the sum of the digits that make up the year of his birth
  1. Identify Prime Number: Identify the smallest 33-digit prime number.\newlineThe smallest 33-digit prime number is 101101.
  2. Find Birth Year Prime: Determine the other prime number needed to find the year of birth.\newlineSince Trudeau was born in the product of 101101 and another prime number, and he died in 20002000 after approximately 1515 years as prime minister, we estimate his birth year around 200015=19852000 - 15 = 1985. We need to find a prime number that, when multiplied by 101101, is close to 19851985.
  3. Calculate Approximate Prime: Calculate the approximate prime number. 19851985 divided by 101101 is approximately 19.6519.65. The closest prime number to this is 1919.
  4. Calculate Product: Calculate the product of 101101 and 1919.\newline101×19=1919101 \times 19 = 1919.
  5. Calculate Sum of Digits: Calculate the sum of the digits of the year 19191919. \newline1+9+1+9=201 + 9 + 1 + 9 = 20.

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