What is the 2152nd prime number?
The 2152nd prime number is 18913. The next prime is 18917 (a gap of 4) and the one before is 18911.
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 2152nd one is 18913.
- 2
18913 is prime because no prime up to ā18913 ā 137.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2152nd prime is close to 2152 Ć ln(2152) ā 16515, and here it is 18913.
- 4
18913 is a twin prime: 18911 and 18913 are both prime.
Primes around the 2152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2149 | 18869 | 10 |
| 2150 | 18899 | 30 |
| 2151 | 18911 | 12 |
| 2152 | 18913 | 2 |
| 2153 | 18917 | 4 |
| 2154 | 18919 | 2 |
| 2155 | 18947 | 28 |
Questions
What is the 2152nd prime number?
18913.
Which prime number is 18913?
18913 is the 2152nd prime number.
What is the sum of the first 2152 primes?
19,028,735.