What is the 1119th prime number?
The 1119th prime number is 9007. The next prime is 9011 (a gap of 4) and the one before is 9001.
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 1119th one is 9007.
- 2
9007 is prime because no prime up to ā9007 ā 94.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1119th prime is close to 1119 Ć ln(1119) ā 7856, and here it is 9007.
- 4
9007 has no twin: neither 9005 nor 9009 is prime.
Primes around the 1119th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1116 | 8971 | 2 |
| 1117 | 8999 | 28 |
| 1118 | 9001 | 2 |
| 1119 | 9007 | 6 |
| 1120 | 9011 | 4 |
| 1121 | 9013 | 2 |
| 1122 | 9029 | 16 |
Questions
What is the 1119th prime number?
9007.
Which prime number is 9007?
9007 is the 1119th prime number.
What is the sum of the first 1119 primes?
4,691,798.