What is the 1113th prime number?
The 1113th prime number is 8951. The next prime is 8963 (a gap of 12) and the one before is 8941.
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 1113th one is 8951.
- 2
8951 is prime because no prime up to ā8951 ā 94.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1113th prime is close to 1113 Ć ln(1113) ā 7807, and here it is 8951.
- 4
8951 has no twin: neither 8949 nor 8953 is prime.
Primes around the 1113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1110 | 8929 | 6 |
| 1111 | 8933 | 4 |
| 1112 | 8941 | 8 |
| 1113 | 8951 | 10 |
| 1114 | 8963 | 12 |
| 1115 | 8969 | 6 |
| 1116 | 8971 | 2 |
Questions
What is the 1113th prime number?
8951.
Which prime number is 8951?
8951 is the 1113th prime number.
What is the sum of the first 1113 primes?
4,637,888.