What is the 3067th prime number?
The 3067th prime number is 28109. The next prime is 28111 (a gap of 2) and the one before is 28099.
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 3067th one is 28109.
- 2
28109 is prime because no prime up to ā28109 ā 167.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3067th prime is close to 3067 Ć ln(3067) ā 24623, and here it is 28109.
- 4
28109 is a twin prime: 28109 and 28111 are both prime.
Primes around the 3067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3064 | 28087 | 6 |
| 3065 | 28097 | 10 |
| 3066 | 28099 | 2 |
| 3067 | 28109 | 10 |
| 3068 | 28111 | 2 |
| 3069 | 28123 | 12 |
| 3070 | 28151 | 28 |
Questions
What is the 3067th prime number?
28109.
Which prime number is 28109?
28109 is the 3067th prime number.
What is the sum of the first 3067 primes?
40,507,712.