What is the 1206th prime number?
The 1206th prime number is 9781. The next prime is 9787 (a gap of 6) and the one before is 9769.
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 1206th one is 9781.
- 2
9781 is prime because no prime up to ā9781 ā 98.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1206th prime is close to 1206 Ć ln(1206) ā 8557, and here it is 9781.
- 4
9781 has no twin: neither 9779 nor 9783 is prime.
Primes around the 1206th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1203 | 9749 | 6 |
| 1204 | 9767 | 18 |
| 1205 | 9769 | 2 |
| 1206 | 9781 | 12 |
| 1207 | 9787 | 6 |
| 1208 | 9791 | 4 |
| 1209 | 9803 | 12 |
Questions
What is the 1206th prime number?
9781.
Which prime number is 9781?
9781 is the 1206th prime number.
What is the sum of the first 1206 primes?
5,509,257.