What is the 2057th prime number?
The 2057th prime number is 17939. The next prime is 17957 (a gap of 18) and the one before is 17929.
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 2057th one is 17939.
- 2
17939 is prime because no prime up to ā17939 ā 133.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2057th prime is close to 2057 Ć ln(2057) ā 15693, and here it is 17939.
- 4
17939 has no twin: neither 17937 nor 17941 is prime.
Primes around the 2057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2054 | 17921 | 10 |
| 2055 | 17923 | 2 |
| 2056 | 17929 | 6 |
| 2057 | 17939 | 10 |
| 2058 | 17957 | 18 |
| 2059 | 17959 | 2 |
| 2060 | 17971 | 12 |
Questions
What is the 2057th prime number?
17939.
Which prime number is 17939?
17939 is the 2057th prime number.
What is the sum of the first 2057 primes?
17,281,516.