What is the 2139th prime number?
The 2139th prime number is 18743. The next prime is 18749 (a gap of 6) and the one before is 18731.
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 2139th one is 18743.
- 2
18743 is prime because no prime up to ā18743 ā 136.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2139th prime is close to 2139 Ć ln(2139) ā 16402, and here it is 18743.
- 4
18743 has no twin: neither 18741 nor 18745 is prime.
Primes around the 2139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2136 | 18713 | 12 |
| 2137 | 18719 | 6 |
| 2138 | 18731 | 12 |
| 2139 | 18743 | 12 |
| 2140 | 18749 | 6 |
| 2141 | 18757 | 8 |
| 2142 | 18773 | 16 |
Questions
What is the 2139th prime number?
18743.
Which prime number is 18743?
18743 is the 2139th prime number.
What is the sum of the first 2139 primes?
18,783,986.