What is the 2147th prime number?
The 2147th prime number is 18839. The next prime is 18859 (a gap of 20) and the one before is 18803.
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 2147th one is 18839.
- 2
18839 is prime because no prime up to ā18839 ā 137.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2147th prime is close to 2147 Ć ln(2147) ā 16471, and here it is 18839.
- 4
18839 has no twin: neither 18837 nor 18841 is prime.
Primes around the 2147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2144 | 18793 | 6 |
| 2145 | 18797 | 4 |
| 2146 | 18803 | 6 |
| 2147 | 18839 | 36 |
| 2148 | 18859 | 20 |
| 2149 | 18869 | 10 |
| 2150 | 18899 | 30 |
Questions
What is the 2147th prime number?
18839.
Which prime number is 18839?
18839 is the 2147th prime number.
What is the sum of the first 2147 primes?
18,934,284.