What is the 1121st prime number?
The 1121st prime number is 9013. The next prime is 9029 (a gap of 16) and the one before is 9011.
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 1121st one is 9013.
- 2
9013 is prime because no prime up to ā9013 ā 94.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1121st prime is close to 1121 Ć ln(1121) ā 7872, and here it is 9013.
- 4
9013 is a twin prime: 9011 and 9013 are both prime.
Primes around the 1121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1118 | 9001 | 2 |
| 1119 | 9007 | 6 |
| 1120 | 9011 | 4 |
| 1121 | 9013 | 2 |
| 1122 | 9029 | 16 |
| 1123 | 9041 | 12 |
| 1124 | 9043 | 2 |
Questions
What is the 1121st prime number?
9013.
Which prime number is 9013?
9013 is the 1121st prime number.
What is the sum of the first 1121 primes?
4,709,822.