What is the 2135th prime number?
The 2135th prime number is 18701. The next prime is 18713 (a gap of 12) and the one before is 18691.
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 2135th one is 18701.
- 2
18701 is prime because no prime up to ā18701 ā 136.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2135th prime is close to 2135 Ć ln(2135) ā 16367, and here it is 18701.
- 4
18701 has no twin: neither 18699 nor 18703 is prime.
Primes around the 2135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2132 | 18671 | 10 |
| 2133 | 18679 | 8 |
| 2134 | 18691 | 12 |
| 2135 | 18701 | 10 |
| 2136 | 18713 | 12 |
| 2137 | 18719 | 6 |
| 2138 | 18731 | 12 |
Questions
What is the 2135th prime number?
18701.
Which prime number is 18701?
18701 is the 2135th prime number.
What is the sum of the first 2135 primes?
18,709,080.