What is the 848th prime number?
The 848th prime number is 6563. The next prime is 6569 (a gap of 6) and the one before is 6553.
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 848th one is 6563.
- 2
6563 is prime because no prime up to ā6563 ā 81.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 848th prime is close to 848 Ć ln(848) ā 5718, and here it is 6563.
- 4
6563 has no twin: neither 6561 nor 6565 is prime.
Primes around the 848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 845 | 6547 | 18 |
| 846 | 6551 | 4 |
| 847 | 6553 | 2 |
| 848 | 6563 | 10 |
| 849 | 6569 | 6 |
| 850 | 6571 | 2 |
| 851 | 6577 | 6 |
Questions
What is the 848th prime number?
6563.
Which prime number is 6563?
6563 is the 848th prime number.
What is the sum of the first 848 primes?
2,582,401.