What is the 4065th prime number?
The 4065th prime number is 38593. The next prime is 38603 (a gap of 10) and the one before is 38569.
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 4065th one is 38593.
- 2
38593 is prime because no prime up to ā38593 ā 196.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4065th prime is close to 4065 Ć ln(4065) ā 33781, and here it is 38593.
- 4
38593 has no twin: neither 38591 nor 38595 is prime.
Primes around the 4065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4062 | 38561 | 4 |
| 4063 | 38567 | 6 |
| 4064 | 38569 | 2 |
| 4065 | 38593 | 24 |
| 4066 | 38603 | 10 |
| 4067 | 38609 | 6 |
| 4068 | 38611 | 2 |
Questions
What is the 4065th prime number?
38593.
Which prime number is 38593?
38593 is the 4065th prime number.
What is the sum of the first 4065 primes?
73,749,838.