What is the 4058th prime number?
The 4058th prime number is 38461. The next prime is 38501 (a gap of 40) and the one before is 38459.
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 4058th one is 38461.
- 2
38461 is prime because no prime up to ā38461 ā 196.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4058th prime is close to 4058 Ć ln(4058) ā 33716, and here it is 38461.
- 4
38461 is a twin prime: 38459 and 38461 are both prime.
Primes around the 4058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4055 | 38449 | 2 |
| 4056 | 38453 | 4 |
| 4057 | 38459 | 6 |
| 4058 | 38461 | 2 |
| 4059 | 38501 | 40 |
| 4060 | 38543 | 42 |
| 4061 | 38557 | 14 |
Questions
What is the 4058th prime number?
38461.
Which prime number is 38461?
38461 is the 4058th prime number.
What is the sum of the first 4058 primes?
73,479,947.