What is the 8138th prime number?
The 8138th prime number is 83383. The next prime is 83389 (a gap of 6) and the one before is 83357.
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 8138th one is 83383.
- 2
83383 is prime because no prime up to ā83383 ā 288.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8138th prime is close to 8138 Ć ln(8138) ā 73277, and here it is 83383.
- 4
83383 has no twin: neither 83381 nor 83385 is prime.
Primes around the 8138th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8135 | 83339 | 28 |
| 8136 | 83341 | 2 |
| 8137 | 83357 | 16 |
| 8138 | 83383 | 26 |
| 8139 | 83389 | 6 |
| 8140 | 83399 | 10 |
| 8141 | 83401 | 2 |
Questions
What is the 8138th prime number?
83383.
Which prime number is 83383?
83383 is the 8138th prime number.
What is the sum of the first 8138 primes?
321,071,369.