What is the 1118th prime number?
The 1118th prime number is 9001. The next prime is 9007 (a gap of 6) and the one before is 8999.
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 1118th one is 9001.
- 2
9001 is prime because no prime up to ā9001 ā 94.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1118th prime is close to 1118 Ć ln(1118) ā 7848, and here it is 9001.
- 4
9001 is a twin prime: 8999 and 9001 are both prime.
Primes around the 1118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1115 | 8969 | 6 |
| 1116 | 8971 | 2 |
| 1117 | 8999 | 28 |
| 1118 | 9001 | 2 |
| 1119 | 9007 | 6 |
| 1120 | 9011 | 4 |
| 1121 | 9013 | 2 |
Questions
What is the 1118th prime number?
9001.
Which prime number is 9001?
9001 is the 1118th prime number.
What is the sum of the first 1118 primes?
4,682,791.