What is the 1222nd prime number?
The 1222nd prime number is 9907. The next prime is 9923 (a gap of 16) and the one before is 9901.
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 1222nd one is 9907.
- 2
9907 is prime because no prime up to ā9907 ā 99.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1222nd prime is close to 1222 Ć ln(1222) ā 8686, and here it is 9907.
- 4
9907 has no twin: neither 9905 nor 9909 is prime.
Primes around the 1222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1219 | 9883 | 12 |
| 1220 | 9887 | 4 |
| 1221 | 9901 | 14 |
| 1222 | 9907 | 6 |
| 1223 | 9923 | 16 |
| 1224 | 9929 | 6 |
| 1225 | 9931 | 2 |
Questions
What is the 1222nd prime number?
9907.
Which prime number is 9907?
9907 is the 1222nd prime number.
What is the sum of the first 1222 primes?
5,666,783.