What is the 4057th prime number?
The 4057th prime number is 38459. The next prime is 38461 (a gap of 2) and the one before is 38453.
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 4057th one is 38459.
- 2
38459 is prime because no prime up to ā38459 ā 196.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4057th prime is close to 4057 Ć ln(4057) ā 33706, and here it is 38459.
- 4
38459 is a twin prime: 38459 and 38461 are both prime.
Primes around the 4057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4054 | 38447 | 16 |
| 4055 | 38449 | 2 |
| 4056 | 38453 | 4 |
| 4057 | 38459 | 6 |
| 4058 | 38461 | 2 |
| 4059 | 38501 | 40 |
| 4060 | 38543 | 42 |
Questions
What is the 4057th prime number?
38459.
Which prime number is 38459?
38459 is the 4057th prime number.
What is the sum of the first 4057 primes?
73,441,486.