What is the 2134th prime number?
The 2134th prime number is 18691. The next prime is 18701 (a gap of 10) and the one before is 18679.
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 2134th one is 18691.
- 2
18691 is prime because no prime up to ā18691 ā 136.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2134th prime is close to 2134 Ć ln(2134) ā 16359, and here it is 18691.
- 4
18691 has no twin: neither 18689 nor 18693 is prime.
Primes around the 2134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2131 | 18661 | 24 |
| 2132 | 18671 | 10 |
| 2133 | 18679 | 8 |
| 2134 | 18691 | 12 |
| 2135 | 18701 | 10 |
| 2136 | 18713 | 12 |
| 2137 | 18719 | 6 |
Questions
What is the 2134th prime number?
18691.
Which prime number is 18691?
18691 is the 2134th prime number.
What is the sum of the first 2134 primes?
18,690,379.