What is the 2058th prime number?
The 2058th prime number is 17957. The next prime is 17959 (a gap of 2) and the one before is 17939.
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 2058th one is 17957.
- 2
17957 is prime because no prime up to ā17957 ā 134.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2058th prime is close to 2058 Ć ln(2058) ā 15701, and here it is 17957.
- 4
17957 is a twin prime: 17957 and 17959 are both prime.
Primes around the 2058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2055 | 17923 | 2 |
| 2056 | 17929 | 6 |
| 2057 | 17939 | 10 |
| 2058 | 17957 | 18 |
| 2059 | 17959 | 2 |
| 2060 | 17971 | 12 |
| 2061 | 17977 | 6 |
Questions
What is the 2058th prime number?
17957.
Which prime number is 17957?
17957 is the 2058th prime number.
What is the sum of the first 2058 primes?
17,299,473.