What is the 2059th prime number?
The 2059th prime number is 17959. The next prime is 17971 (a gap of 12) and the one before is 17957.
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 2059th one is 17959.
- 2
17959 is prime because no prime up to ā17959 ā 134.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2059th prime is close to 2059 Ć ln(2059) ā 15710, and here it is 17959.
- 4
17959 is a twin prime: 17957 and 17959 are both prime.
Primes around the 2059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2056 | 17929 | 6 |
| 2057 | 17939 | 10 |
| 2058 | 17957 | 18 |
| 2059 | 17959 | 2 |
| 2060 | 17971 | 12 |
| 2061 | 17977 | 6 |
| 2062 | 17981 | 4 |
Questions
What is the 2059th prime number?
17959.
Which prime number is 17959?
17959 is the 2059th prime number.
What is the sum of the first 2059 primes?
17,317,432.