What is the 2053rd prime number?
The 2053rd prime number is 17911. The next prime is 17921 (a gap of 10) and the one before is 17909.
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 2053rd one is 17911.
- 2
17911 is prime because no prime up to ā17911 ā 133.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2053rd prime is close to 2053 Ć ln(2053) ā 15658, and here it is 17911.
- 4
17911 is a twin prime: 17909 and 17911 are both prime.
Primes around the 2053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2050 | 17891 | 10 |
| 2051 | 17903 | 12 |
| 2052 | 17909 | 6 |
| 2053 | 17911 | 2 |
| 2054 | 17921 | 10 |
| 2055 | 17923 | 2 |
| 2056 | 17929 | 6 |
Questions
What is the 2053rd prime number?
17911.
Which prime number is 17911?
17911 is the 2053rd prime number.
What is the sum of the first 2053 primes?
17,209,804.