The sum of the first 19 prime numbers is:
568
To find the sum of the first 19 prime numbers, let's first list them:
- The first 19 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, and 67.
Let's add them up step-by-step:
- Step 1: Add the first three: 2 + 3 + 5 = 10
- Step 2: Add the next three: 7 + 11 + 13 = 31
- Step 3: Continue adding the next set of numbers: 17 + 19 = 36
- Step 4: Add the next group: 23 + 29 = 52
- Step 5: Next, add: 31 + 37 = 68
- Step 6: Continue: 41 + 43 = 84
- Step 7: Then: 47 + 53 = 100
- Step 8: Finally, add the last three: 59 + 61 + 67 = 187
Now, sum all of these results:
- Total = 10 + 31 + 36 + 52 + 68 + 84 + 100 + 187
After calculating, we find:
- Total = 568
Therefore, the sum of the first 19 prime numbers is 568.
Let's look at the options provided:
- 571
- 570
- 564
- 568
After comparing our calculated result with the options, 568 is the correct answer. This confirms that the option with the correct sum is indeed 568.
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