What is the 1117th prime number?
The 1117th prime number is 8999. The next prime is 9001 (a gap of 2) and the one before is 8971.
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 1117th one is 8999.
- 2
8999 is prime because no prime up to ā8999 ā 94.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1117th prime is close to 1117 Ć ln(1117) ā 7840, and here it is 8999.
- 4
8999 is a twin prime: 8999 and 9001 are both prime.
Primes around the 1117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1114 | 8963 | 12 |
| 1115 | 8969 | 6 |
| 1116 | 8971 | 2 |
| 1117 | 8999 | 28 |
| 1118 | 9001 | 2 |
| 1119 | 9007 | 6 |
| 1120 | 9011 | 4 |
Questions
What is the 1117th prime number?
8999.
Which prime number is 8999?
8999 is the 1117th prime number.
What is the sum of the first 1117 primes?
4,673,790.