What is the 4064th prime number?
The 4064th prime number is 38569. The next prime is 38593 (a gap of 24) and the one before is 38567.
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 4064th one is 38569.
- 2
38569 is prime because no prime up to ā38569 ā 196.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4064th prime is close to 4064 Ć ln(4064) ā 33772, and here it is 38569.
- 4
38569 is a twin prime: 38567 and 38569 are both prime.
Primes around the 4064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4061 | 38557 | 14 |
| 4062 | 38561 | 4 |
| 4063 | 38567 | 6 |
| 4064 | 38569 | 2 |
| 4065 | 38593 | 24 |
| 4066 | 38603 | 10 |
| 4067 | 38609 | 6 |
Questions
What is the 4064th prime number?
38569.
Which prime number is 38569?
38569 is the 4064th prime number.
What is the sum of the first 4064 primes?
73,711,245.