What is the 8119th prime number?
The 8119th prime number is 83137. The next prime is 83177 (a gap of 40) and the one before is 83117.
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 8119th one is 83137.
- 2
83137 is prime because no prime up to ā83137 ā 288.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8119th prime is close to 8119 Ć ln(8119) ā 73087, and here it is 83137.
- 4
83137 has no twin: neither 83135 nor 83139 is prime.
Primes around the 8119th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8116 | 83093 | 4 |
| 8117 | 83101 | 8 |
| 8118 | 83117 | 16 |
| 8119 | 83137 | 20 |
| 8120 | 83177 | 40 |
| 8121 | 83203 | 26 |
| 8122 | 83207 | 4 |
Questions
What is the 8119th prime number?
83137.
Which prime number is 83137?
83137 is the 8119th prime number.
What is the sum of the first 8119 primes?
319,489,312.