What is the 1120th prime number?
The 1120th prime number is 9011. The next prime is 9013 (a gap of 2) and the one before is 9007.
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 1120th one is 9011.
- 2
9011 is prime because no prime up to ā9011 ā 94.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1120th prime is close to 1120 Ć ln(1120) ā 7864, and here it is 9011.
- 4
9011 is a twin prime: 9011 and 9013 are both prime.
Primes around the 1120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1117 | 8999 | 28 |
| 1118 | 9001 | 2 |
| 1119 | 9007 | 6 |
| 1120 | 9011 | 4 |
| 1121 | 9013 | 2 |
| 1122 | 9029 | 16 |
| 1123 | 9041 | 12 |
Questions
What is the 1120th prime number?
9011.
Which prime number is 9011?
9011 is the 1120th prime number.
What is the sum of the first 1120 primes?
4,700,809.