What is the 1122nd prime number?
The 1122nd prime number is 9029. The next prime is 9041 (a gap of 12) and the one before is 9013.
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 1122nd one is 9029.
- 2
9029 is prime because no prime up to ā9029 ā 95.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1122nd prime is close to 1122 Ć ln(1122) ā 7880, and here it is 9029.
- 4
9029 has no twin: neither 9027 nor 9031 is prime.
Primes around the 1122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1119 | 9007 | 6 |
| 1120 | 9011 | 4 |
| 1121 | 9013 | 2 |
| 1122 | 9029 | 16 |
| 1123 | 9041 | 12 |
| 1124 | 9043 | 2 |
| 1125 | 9049 | 6 |
Questions
What is the 1122nd prime number?
9029.
Which prime number is 9029?
9029 is the 1122nd prime number.
What is the sum of the first 1122 primes?
4,718,851.