What is the 810th prime number?
The 810th prime number is 6221. The next prime is 6229 (a gap of 8) and the one before is 6217.
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 810th one is 6221.
- 2
6221 is prime because no prime up to ā6221 ā 78.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 810th prime is close to 810 Ć ln(810) ā 5425, and here it is 6221.
- 4
6221 has no twin: neither 6219 nor 6223 is prime.
Primes around the 810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 807 | 6203 | 4 |
| 808 | 6211 | 8 |
| 809 | 6217 | 6 |
| 810 | 6221 | 4 |
| 811 | 6229 | 8 |
| 812 | 6247 | 18 |
| 813 | 6257 | 10 |
Questions
What is the 810th prime number?
6221.
Which prime number is 6221?
6221 is the 810th prime number.
What is the sum of the first 810 primes?
2,339,837.