What is the 1209th prime number?
The 1209th prime number is 9803. The next prime is 9811 (a gap of 8) and the one before is 9791.
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 1209th one is 9803.
- 2
9803 is prime because no prime up to ā9803 ā 99.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1209th prime is close to 1209 Ć ln(1209) ā 8581, and here it is 9803.
- 4
9803 has no twin: neither 9801 nor 9805 is prime.
Primes around the 1209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1206 | 9781 | 12 |
| 1207 | 9787 | 6 |
| 1208 | 9791 | 4 |
| 1209 | 9803 | 12 |
| 1210 | 9811 | 8 |
| 1211 | 9817 | 6 |
| 1212 | 9829 | 12 |
Questions
What is the 1209th prime number?
9803.
Which prime number is 9803?
9803 is the 1209th prime number.
What is the sum of the first 1209 primes?
5,538,638.