What is the 3068th prime number?
The 3068th prime number is 28111. The next prime is 28123 (a gap of 12) and the one before is 28109.
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 3068th one is 28111.
- 2
28111 is prime because no prime up to ā28111 ā 167.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3068th prime is close to 3068 Ć ln(3068) ā 24632, and here it is 28111.
- 4
28111 is a twin prime: 28109 and 28111 are both prime.
Primes around the 3068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3065 | 28097 | 10 |
| 3066 | 28099 | 2 |
| 3067 | 28109 | 10 |
| 3068 | 28111 | 2 |
| 3069 | 28123 | 12 |
| 3070 | 28151 | 28 |
| 3071 | 28163 | 12 |
Questions
What is the 3068th prime number?
28111.
Which prime number is 28111?
28111 is the 3068th prime number.
What is the sum of the first 3068 primes?
40,535,823.