What is the 4164th prime number?
The 4164th prime number is 39581. The next prime is 39607 (a gap of 26) and the one before is 39569.
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 4164th one is 39581.
- 2
39581 is prime because no prime up to ā39581 ā 198.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4164th prime is close to 4164 Ć ln(4164) ā 34704, and here it is 39581.
- 4
39581 has no twin: neither 39579 nor 39583 is prime.
Primes around the 4164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4161 | 39551 | 10 |
| 4162 | 39563 | 12 |
| 4163 | 39569 | 6 |
| 4164 | 39581 | 12 |
| 4165 | 39607 | 26 |
| 4166 | 39619 | 12 |
| 4167 | 39623 | 4 |
Questions
What is the 4164th prime number?
39581.
Which prime number is 39581?
39581 is the 4164th prime number.
What is the sum of the first 4164 primes?
77,618,389.