What is the 1200th prime number?
The 1200th prime number is 9733. The next prime is 9739 (a gap of 6) and the one before is 9721.
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 1200th one is 9733.
- 2
9733 is prime because no prime up to ā9733 ā 98.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1200th prime is close to 1200 Ć ln(1200) ā 8508, and here it is 9733.
- 4
9733 has no twin: neither 9731 nor 9735 is prime.
Primes around the 1200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1197 | 9697 | 8 |
| 1198 | 9719 | 22 |
| 1199 | 9721 | 2 |
| 1200 | 9733 | 12 |
| 1201 | 9739 | 6 |
| 1202 | 9743 | 4 |
| 1203 | 9749 | 6 |
Questions
What is the 1200th prime number?
9733.
Which prime number is 9733?
9733 is the 1200th prime number.
What is the sum of the first 1200 primes?
5,450,709.