What is the 4159th prime number?
The 4159th prime number is 39521. The next prime is 39541 (a gap of 20) and the one before is 39511.
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 4159th one is 39521.
- 2
39521 is prime because no prime up to ā39521 ā 198.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4159th prime is close to 4159 Ć ln(4159) ā 34657, and here it is 39521.
- 4
39521 has no twin: neither 39519 nor 39523 is prime.
Primes around the 4159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4156 | 39503 | 4 |
| 4157 | 39509 | 6 |
| 4158 | 39511 | 2 |
| 4159 | 39521 | 10 |
| 4160 | 39541 | 20 |
| 4161 | 39551 | 10 |
| 4162 | 39563 | 12 |
Questions
What is the 4159th prime number?
39521.
Which prime number is 39521?
39521 is the 4159th prime number.
What is the sum of the first 4159 primes?
77,420,584.