What is the 4068th prime number?
The 4068th prime number is 38611. The next prime is 38629 (a gap of 18) and the one before is 38609.
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 4068th one is 38611.
- 2
38611 is prime because no prime up to ā38611 ā 196.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4068th prime is close to 4068 Ć ln(4068) ā 33809, and here it is 38611.
- 4
38611 is a twin prime: 38609 and 38611 are both prime.
Primes around the 4068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4065 | 38593 | 24 |
| 4066 | 38603 | 10 |
| 4067 | 38609 | 6 |
| 4068 | 38611 | 2 |
| 4069 | 38629 | 18 |
| 4070 | 38639 | 10 |
| 4071 | 38651 | 12 |
Questions
What is the 4068th prime number?
38611.
Which prime number is 38611?
38611 is the 4068th prime number.
What is the sum of the first 4068 primes?
73,865,661.