What is the 1114th prime number?
The 1114th prime number is 8963. The next prime is 8969 (a gap of 6) and the one before is 8951.
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 1114th one is 8963.
- 2
8963 is prime because no prime up to ā8963 ā 94.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1114th prime is close to 1114 Ć ln(1114) ā 7816, and here it is 8963.
- 4
8963 has no twin: neither 8961 nor 8965 is prime.
Primes around the 1114th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1111 | 8933 | 4 |
| 1112 | 8941 | 8 |
| 1113 | 8951 | 10 |
| 1114 | 8963 | 12 |
| 1115 | 8969 | 6 |
| 1116 | 8971 | 2 |
| 1117 | 8999 | 28 |
Questions
What is the 1114th prime number?
8963.
Which prime number is 8963?
8963 is the 1114th prime number.
What is the sum of the first 1114 primes?
4,646,851.