What is the 1207th prime number?
The 1207th prime number is 9787. The next prime is 9791 (a gap of 4) and the one before is 9781.
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 1207th one is 9787.
- 2
9787 is prime because no prime up to ā9787 ā 98.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1207th prime is close to 1207 Ć ln(1207) ā 8565, and here it is 9787.
- 4
9787 has no twin: neither 9785 nor 9789 is prime.
Primes around the 1207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1204 | 9767 | 18 |
| 1205 | 9769 | 2 |
| 1206 | 9781 | 12 |
| 1207 | 9787 | 6 |
| 1208 | 9791 | 4 |
| 1209 | 9803 | 12 |
| 1210 | 9811 | 8 |
Questions
What is the 1207th prime number?
9787.
Which prime number is 9787?
9787 is the 1207th prime number.
What is the sum of the first 1207 primes?
5,519,044.