What is the 2137th prime number?
The 2137th prime number is 18719. The next prime is 18731 (a gap of 12) and the one before is 18713.
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 2137th one is 18719.
- 2
18719 is prime because no prime up to ā18719 ā 136.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2137th prime is close to 2137 Ć ln(2137) ā 16385, and here it is 18719.
- 4
18719 has no twin: neither 18717 nor 18721 is prime.
Primes around the 2137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2134 | 18691 | 12 |
| 2135 | 18701 | 10 |
| 2136 | 18713 | 12 |
| 2137 | 18719 | 6 |
| 2138 | 18731 | 12 |
| 2139 | 18743 | 12 |
| 2140 | 18749 | 6 |
Questions
What is the 2137th prime number?
18719.
Which prime number is 18719?
18719 is the 2137th prime number.
What is the sum of the first 2137 primes?
18,746,512.