What is the 847th prime number?
The 847th prime number is 6553. The next prime is 6563 (a gap of 10) and the one before is 6551.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 847th one is 6553.
- 2
6553 is prime because no prime up to ā6553 ā 80.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 847th prime is close to 847 Ć ln(847) ā 5710, and here it is 6553.
- 4
6553 is a twin prime: 6551 and 6553 are both prime.
Primes around the 847th
| Position | Prime | Gap from the previous |
|---|---|---|
| 844 | 6529 | 8 |
| 845 | 6547 | 18 |
| 846 | 6551 | 4 |
| 847 | 6553 | 2 |
| 848 | 6563 | 10 |
| 849 | 6569 | 6 |
| 850 | 6571 | 2 |
Questions
What is the 847th prime number?
6553.
Which prime number is 6553?
6553 is the 847th prime number.
What is the sum of the first 847 primes?
2,575,838.