What is the 8137th prime number?
The 8137th prime number is 83357. The next prime is 83383 (a gap of 26) and the one before is 83341.
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 8137th one is 83357.
- 2
83357 is prime because no prime up to ā83357 ā 288.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8137th prime is close to 8137 Ć ln(8137) ā 73267, and here it is 83357.
- 4
83357 has no twin: neither 83355 nor 83359 is prime.
Primes around the 8137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8134 | 83311 | 12 |
| 8135 | 83339 | 28 |
| 8136 | 83341 | 2 |
| 8137 | 83357 | 16 |
| 8138 | 83383 | 26 |
| 8139 | 83389 | 6 |
| 8140 | 83399 | 10 |
Questions
What is the 8137th prime number?
83357.
Which prime number is 83357?
83357 is the 8137th prime number.
What is the sum of the first 8137 primes?
320,987,986.