What is the 1056th prime number?
The 1056th prime number is 8443. The next prime is 8447 (a gap of 4) and the one before is 8431.
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 1056th one is 8443.
- 2
8443 is prime because no prime up to ā8443 ā 91.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1056th prime is close to 1056 Ć ln(1056) ā 7352, and here it is 8443.
- 4
8443 has no twin: neither 8441 nor 8445 is prime.
Primes around the 1056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1053 | 8423 | 4 |
| 1054 | 8429 | 6 |
| 1055 | 8431 | 2 |
| 1056 | 8443 | 12 |
| 1057 | 8447 | 4 |
| 1058 | 8461 | 14 |
| 1059 | 8467 | 6 |
Questions
What is the 1056th prime number?
8443.
Which prime number is 8443?
8443 is the 1056th prime number.
What is the sum of the first 1056 primes?
4,141,547.