What is the 1205th prime number?
The 1205th prime number is 9769. The next prime is 9781 (a gap of 12) and the one before is 9767.
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 1205th one is 9769.
- 2
9769 is prime because no prime up to ā9769 ā 98.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1205th prime is close to 1205 Ć ln(1205) ā 8549, and here it is 9769.
- 4
9769 is a twin prime: 9767 and 9769 are both prime.
Primes around the 1205th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1202 | 9743 | 4 |
| 1203 | 9749 | 6 |
| 1204 | 9767 | 18 |
| 1205 | 9769 | 2 |
| 1206 | 9781 | 12 |
| 1207 | 9787 | 6 |
| 1208 | 9791 | 4 |
Questions
What is the 1205th prime number?
9769.
Which prime number is 9769?
9769 is the 1205th prime number.
What is the sum of the first 1205 primes?
5,499,476.