What is the 1208th prime number?
The 1208th prime number is 9791. The next prime is 9803 (a gap of 12) and the one before is 9787.
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 1208th one is 9791.
- 2
9791 is prime because no prime up to ā9791 ā 98.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1208th prime is close to 1208 Ć ln(1208) ā 8573, and here it is 9791.
- 4
9791 has no twin: neither 9789 nor 9793 is prime.
Primes around the 1208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1205 | 9769 | 2 |
| 1206 | 9781 | 12 |
| 1207 | 9787 | 6 |
| 1208 | 9791 | 4 |
| 1209 | 9803 | 12 |
| 1210 | 9811 | 8 |
| 1211 | 9817 | 6 |
Questions
What is the 1208th prime number?
9791.
Which prime number is 9791?
9791 is the 1208th prime number.
What is the sum of the first 1208 primes?
5,528,835.