What is the 1112th prime number?
The 1112th prime number is 8941. The next prime is 8951 (a gap of 10) and the one before is 8933.
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 1112th one is 8941.
- 2
8941 is prime because no prime up to ā8941 ā 94.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1112th prime is close to 1112 Ć ln(1112) ā 7799, and here it is 8941.
- 4
8941 has no twin: neither 8939 nor 8943 is prime.
Primes around the 1112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1109 | 8923 | 30 |
| 1110 | 8929 | 6 |
| 1111 | 8933 | 4 |
| 1112 | 8941 | 8 |
| 1113 | 8951 | 10 |
| 1114 | 8963 | 12 |
| 1115 | 8969 | 6 |
Questions
What is the 1112th prime number?
8941.
Which prime number is 8941?
8941 is the 1112th prime number.
What is the sum of the first 1112 primes?
4,628,937.