What is the 2054th prime number?
The 2054th prime number is 17921. The next prime is 17923 (a gap of 2) and the one before is 17911.
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 2054th one is 17921.
- 2
17921 is prime because no prime up to ā17921 ā 133.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2054th prime is close to 2054 Ć ln(2054) ā 15667, and here it is 17921.
- 4
17921 is a twin prime: 17921 and 17923 are both prime.
Primes around the 2054th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2051 | 17903 | 12 |
| 2052 | 17909 | 6 |
| 2053 | 17911 | 2 |
| 2054 | 17921 | 10 |
| 2055 | 17923 | 2 |
| 2056 | 17929 | 6 |
| 2057 | 17939 | 10 |
Questions
What is the 2054th prime number?
17921.
Which prime number is 17921?
17921 is the 2054th prime number.
What is the sum of the first 2054 primes?
17,227,725.