What is the 1201st prime number?
The 1201st prime number is 9739. The next prime is 9743 (a gap of 4) and the one before is 9733.
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 1201st one is 9739.
- 2
9739 is prime because no prime up to ā9739 ā 98.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1201st prime is close to 1201 Ć ln(1201) ā 8516, and here it is 9739.
- 4
9739 has no twin: neither 9737 nor 9741 is prime.
Primes around the 1201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1198 | 9719 | 22 |
| 1199 | 9721 | 2 |
| 1200 | 9733 | 12 |
| 1201 | 9739 | 6 |
| 1202 | 9743 | 4 |
| 1203 | 9749 | 6 |
| 1204 | 9767 | 18 |
Questions
What is the 1201st prime number?
9739.
Which prime number is 9739?
9739 is the 1201st prime number.
What is the sum of the first 1201 primes?
5,460,448.