What is the 8038th prime number?
The 8038th prime number is 82207. The next prime is 82217 (a gap of 10) and the one before is 82193.
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 8038th one is 82207.
- 2
82207 is prime because no prime up to ā82207 ā 286.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8038th prime is close to 8038 Ć ln(8038) ā 72277, and here it is 82207.
- 4
82207 has no twin: neither 82205 nor 82209 is prime.
Primes around the 8038th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8035 | 82183 | 12 |
| 8036 | 82189 | 6 |
| 8037 | 82193 | 4 |
| 8038 | 82207 | 14 |
| 8039 | 82217 | 10 |
| 8040 | 82219 | 2 |
| 8041 | 82223 | 4 |
Questions
What is the 8038th prime number?
82207.
Which prime number is 82207?
82207 is the 8038th prime number.
What is the sum of the first 8038 primes?
312,793,791.