What is the 3064th prime number?
The 3064th prime number is 28087. The next prime is 28097 (a gap of 10) and the one before is 28081.
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 3064th one is 28087.
- 2
28087 is prime because no prime up to ā28087 ā 167.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3064th prime is close to 3064 Ć ln(3064) ā 24596, and here it is 28087.
- 4
28087 has no twin: neither 28085 nor 28089 is prime.
Primes around the 3064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3061 | 28057 | 6 |
| 3062 | 28069 | 12 |
| 3063 | 28081 | 12 |
| 3064 | 28087 | 6 |
| 3065 | 28097 | 10 |
| 3066 | 28099 | 2 |
| 3067 | 28109 | 10 |
Questions
What is the 3064th prime number?
28087.
Which prime number is 28087?
28087 is the 3064th prime number.
What is the sum of the first 3064 primes?
40,423,407.