What is the 4059th prime number?
The 4059th prime number is 38501. The next prime is 38543 (a gap of 42) and the one before is 38461.
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 4059th one is 38501.
- 2
38501 is prime because no prime up to ā38501 ā 196.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4059th prime is close to 4059 Ć ln(4059) ā 33725, and here it is 38501.
- 4
38501 has no twin: neither 38499 nor 38503 is prime.
Primes around the 4059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4056 | 38453 | 4 |
| 4057 | 38459 | 6 |
| 4058 | 38461 | 2 |
| 4059 | 38501 | 40 |
| 4060 | 38543 | 42 |
| 4061 | 38557 | 14 |
| 4062 | 38561 | 4 |
Questions
What is the 4059th prime number?
38501.
Which prime number is 38501?
38501 is the 4059th prime number.
What is the sum of the first 4059 primes?
73,518,448.