What is the 846th prime number?
The 846th prime number is 6551. The next prime is 6553 (a gap of 2) and the one before is 6547.
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 846th one is 6551.
- 2
6551 is prime because no prime up to ā6551 ā 80.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 846th prime is close to 846 Ć ln(846) ā 5702, and here it is 6551.
- 4
6551 is a twin prime: 6551 and 6553 are both prime.
Primes around the 846th
| Position | Prime | Gap from the previous |
|---|---|---|
| 843 | 6521 | 30 |
| 844 | 6529 | 8 |
| 845 | 6547 | 18 |
| 846 | 6551 | 4 |
| 847 | 6553 | 2 |
| 848 | 6563 | 10 |
| 849 | 6569 | 6 |
Questions
What is the 846th prime number?
6551.
Which prime number is 6551?
6551 is the 846th prime number.
What is the sum of the first 846 primes?
2,569,285.