What is the 807th prime number?
The 807th prime number is 6203. The next prime is 6211 (a gap of 8) and the one before is 6199.
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 807th one is 6203.
- 2
6203 is prime because no prime up to ā6203 ā 78.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 807th prime is close to 807 Ć ln(807) ā 5402, and here it is 6203.
- 4
6203 has no twin: neither 6201 nor 6205 is prime.
Primes around the 807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 804 | 6173 | 10 |
| 805 | 6197 | 24 |
| 806 | 6199 | 2 |
| 807 | 6203 | 4 |
| 808 | 6211 | 8 |
| 809 | 6217 | 6 |
| 810 | 6221 | 4 |
Questions
What is the 807th prime number?
6203.
Which prime number is 6203?
6203 is the 807th prime number.
What is the sum of the first 807 primes?
2,321,188.