What is the 4067th prime number?
The 4067th prime number is 38609. The next prime is 38611 (a gap of 2) and the one before is 38603.
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 4067th one is 38609.
- 2
38609 is prime because no prime up to ā38609 ā 196.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4067th prime is close to 4067 Ć ln(4067) ā 33799, and here it is 38609.
- 4
38609 is a twin prime: 38609 and 38611 are both prime.
Primes around the 4067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4064 | 38569 | 2 |
| 4065 | 38593 | 24 |
| 4066 | 38603 | 10 |
| 4067 | 38609 | 6 |
| 4068 | 38611 | 2 |
| 4069 | 38629 | 18 |
| 4070 | 38639 | 10 |
Questions
What is the 4067th prime number?
38609.
Which prime number is 38609?
38609 is the 4067th prime number.
What is the sum of the first 4067 primes?
73,827,050.