What is the 1116th prime number?
The 1116th prime number is 8971. The next prime is 8999 (a gap of 28) and the one before is 8969.
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 1116th one is 8971.
- 2
8971 is prime because no prime up to ā8971 ā 94.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1116th prime is close to 1116 Ć ln(1116) ā 7832, and here it is 8971.
- 4
8971 is a twin prime: 8969 and 8971 are both prime.
Primes around the 1116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1113 | 8951 | 10 |
| 1114 | 8963 | 12 |
| 1115 | 8969 | 6 |
| 1116 | 8971 | 2 |
| 1117 | 8999 | 28 |
| 1118 | 9001 | 2 |
| 1119 | 9007 | 6 |
Questions
What is the 1116th prime number?
8971.
Which prime number is 8971?
8971 is the 1116th prime number.
What is the sum of the first 1116 primes?
4,664,791.