What is the 1111th prime number?
The 1111th prime number is 8933. The next prime is 8941 (a gap of 8) and the one before is 8929.
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 1111th one is 8933.
- 2
8933 is prime because no prime up to ā8933 ā 94.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1111th prime is close to 1111 Ć ln(1111) ā 7791, and here it is 8933.
- 4
8933 has no twin: neither 8931 nor 8935 is prime.
Primes around the 1111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1108 | 8893 | 6 |
| 1109 | 8923 | 30 |
| 1110 | 8929 | 6 |
| 1111 | 8933 | 4 |
| 1112 | 8941 | 8 |
| 1113 | 8951 | 10 |
| 1114 | 8963 | 12 |
Questions
What is the 1111th prime number?
8933.
Which prime number is 8933?
8933 is the 1111th prime number.
What is the sum of the first 1111 primes?
4,619,996.