What is the 2052nd prime number?
The 2052nd prime number is 17909. The next prime is 17911 (a gap of 2) and the one before is 17903.
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 2052nd one is 17909.
- 2
17909 is prime because no prime up to ā17909 ā 133.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2052nd prime is close to 2052 Ć ln(2052) ā 15650, and here it is 17909.
- 4
17909 is a twin prime: 17909 and 17911 are both prime.
Primes around the 2052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2049 | 17881 | 18 |
| 2050 | 17891 | 10 |
| 2051 | 17903 | 12 |
| 2052 | 17909 | 6 |
| 2053 | 17911 | 2 |
| 2054 | 17921 | 10 |
| 2055 | 17923 | 2 |
Questions
What is the 2052nd prime number?
17909.
Which prime number is 17909?
17909 is the 2052nd prime number.
What is the sum of the first 2052 primes?
17,191,893.