What is the 1110th prime number?
The 1110th prime number is 8929. The next prime is 8933 (a gap of 4) and the one before is 8923.
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 1110th one is 8929.
- 2
8929 is prime because no prime up to ā8929 ā 94.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1110th prime is close to 1110 Ć ln(1110) ā 7783, and here it is 8929.
- 4
8929 has no twin: neither 8927 nor 8931 is prime.
Primes around the 1110th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1107 | 8887 | 20 |
| 1108 | 8893 | 6 |
| 1109 | 8923 | 30 |
| 1110 | 8929 | 6 |
| 1111 | 8933 | 4 |
| 1112 | 8941 | 8 |
| 1113 | 8951 | 10 |
Questions
What is the 1110th prime number?
8929.
Which prime number is 8929?
8929 is the 1110th prime number.
What is the sum of the first 1110 primes?
4,611,063.