What is the 2149th prime number?
The 2149th prime number is 18869. The next prime is 18899 (a gap of 30) and the one before is 18859.
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 2149th one is 18869.
- 2
18869 is prime because no prime up to ā18869 ā 137.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2149th prime is close to 2149 Ć ln(2149) ā 16489, and here it is 18869.
- 4
18869 has no twin: neither 18867 nor 18871 is prime.
Primes around the 2149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2146 | 18803 | 6 |
| 2147 | 18839 | 36 |
| 2148 | 18859 | 20 |
| 2149 | 18869 | 10 |
| 2150 | 18899 | 30 |
| 2151 | 18911 | 12 |
| 2152 | 18913 | 2 |
Questions
What is the 2149th prime number?
18869.
Which prime number is 18869?
18869 is the 2149th prime number.
What is the sum of the first 2149 primes?
18,972,012.