What is the 1057th prime number?
The 1057th prime number is 8447. The next prime is 8461 (a gap of 14) and the one before is 8443.
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 1057th one is 8447.
- 2
8447 is prime because no prime up to ā8447 ā 91.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1057th prime is close to 1057 Ć ln(1057) ā 7360, and here it is 8447.
- 4
8447 has no twin: neither 8445 nor 8449 is prime.
Primes around the 1057th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1054 | 8429 | 6 |
| 1055 | 8431 | 2 |
| 1056 | 8443 | 12 |
| 1057 | 8447 | 4 |
| 1058 | 8461 | 14 |
| 1059 | 8467 | 6 |
| 1060 | 8501 | 34 |
Questions
What is the 1057th prime number?
8447.
Which prime number is 8447?
8447 is the 1057th prime number.
What is the sum of the first 1057 primes?
4,149,994.