What is the 8139th prime number?
The 8139th prime number is 83389. The next prime is 83399 (a gap of 10) and the one before is 83383.
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 8139th one is 83389.
- 2
83389 is prime because no prime up to ā83389 ā 288.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8139th prime is close to 8139 Ć ln(8139) ā 73287, and here it is 83389.
- 4
83389 has no twin: neither 83387 nor 83391 is prime.
Primes around the 8139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8136 | 83341 | 2 |
| 8137 | 83357 | 16 |
| 8138 | 83383 | 26 |
| 8139 | 83389 | 6 |
| 8140 | 83399 | 10 |
| 8141 | 83401 | 2 |
| 8142 | 83407 | 6 |
Questions
What is the 8139th prime number?
83389.
Which prime number is 83389?
83389 is the 8139th prime number.
What is the sum of the first 8139 primes?
321,154,758.