What is the 1204th prime number?
The 1204th prime number is 9767. The next prime is 9769 (a gap of 2) and the one before is 9749.
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 1204th one is 9767.
- 2
9767 is prime because no prime up to ā9767 ā 98.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1204th prime is close to 1204 Ć ln(1204) ā 8540, and here it is 9767.
- 4
9767 is a twin prime: 9767 and 9769 are both prime.
Primes around the 1204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1201 | 9739 | 6 |
| 1202 | 9743 | 4 |
| 1203 | 9749 | 6 |
| 1204 | 9767 | 18 |
| 1205 | 9769 | 2 |
| 1206 | 9781 | 12 |
| 1207 | 9787 | 6 |
Questions
What is the 1204th prime number?
9767.
Which prime number is 9767?
9767 is the 1204th prime number.
What is the sum of the first 1204 primes?
5,489,707.