What is the 1115th prime number?
The 1115th prime number is 8969. The next prime is 8971 (a gap of 2) and the one before is 8963.
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 1115th one is 8969.
- 2
8969 is prime because no prime up to ā8969 ā 94.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1115th prime is close to 1115 Ć ln(1115) ā 7824, and here it is 8969.
- 4
8969 is a twin prime: 8969 and 8971 are both prime.
Primes around the 1115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1112 | 8941 | 8 |
| 1113 | 8951 | 10 |
| 1114 | 8963 | 12 |
| 1115 | 8969 | 6 |
| 1116 | 8971 | 2 |
| 1117 | 8999 | 28 |
| 1118 | 9001 | 2 |
Questions
What is the 1115th prime number?
8969.
Which prime number is 8969?
8969 is the 1115th prime number.
What is the sum of the first 1115 primes?
4,655,820.