What is the 3034th prime number?
The 3034th prime number is 27793. The next prime is 27799 (a gap of 6) and the one before is 27791.
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 3034th one is 27793.
- 2
27793 is prime because no prime up to ā27793 ā 166.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3034th prime is close to 3034 Ć ln(3034) ā 24326, and here it is 27793.
- 4
27793 is a twin prime: 27791 and 27793 are both prime.
Primes around the 3034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3031 | 27773 | 6 |
| 3032 | 27779 | 6 |
| 3033 | 27791 | 12 |
| 3034 | 27793 | 2 |
| 3035 | 27799 | 6 |
| 3036 | 27803 | 4 |
| 3037 | 27809 | 6 |
Questions
What is the 3034th prime number?
27793.
Which prime number is 27793?
27793 is the 3034th prime number.
What is the sum of the first 3034 primes?
39,585,203.