What is the 1202nd prime number?
The 1202nd prime number is 9743. The next prime is 9749 (a gap of 6) and the one before is 9739.
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 1202nd one is 9743.
- 2
9743 is prime because no prime up to ā9743 ā 98.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1202nd prime is close to 1202 Ć ln(1202) ā 8524, and here it is 9743.
- 4
9743 has no twin: neither 9741 nor 9745 is prime.
Primes around the 1202nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1199 | 9721 | 2 |
| 1200 | 9733 | 12 |
| 1201 | 9739 | 6 |
| 1202 | 9743 | 4 |
| 1203 | 9749 | 6 |
| 1204 | 9767 | 18 |
| 1205 | 9769 | 2 |
Questions
What is the 1202nd prime number?
9743.
Which prime number is 9743?
9743 is the 1202nd prime number.
What is the sum of the first 1202 primes?
5,470,191.