What is the 3066th prime number?
The 3066th prime number is 28099. The next prime is 28109 (a gap of 10) and the one before is 28097.
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 3066th one is 28099.
- 2
28099 is prime because no prime up to ā28099 ā 167.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3066th prime is close to 3066 Ć ln(3066) ā 24614, and here it is 28099.
- 4
28099 is a twin prime: 28097 and 28099 are both prime.
Primes around the 3066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3063 | 28081 | 12 |
| 3064 | 28087 | 6 |
| 3065 | 28097 | 10 |
| 3066 | 28099 | 2 |
| 3067 | 28109 | 10 |
| 3068 | 28111 | 2 |
| 3069 | 28123 | 12 |
Questions
What is the 3066th prime number?
28099.
Which prime number is 28099?
28099 is the 3066th prime number.
What is the sum of the first 3066 primes?
40,479,603.