What is the 1058th prime number?
The 1058th prime number is 8461. The next prime is 8467 (a gap of 6) and the one before is 8447.
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 1058th one is 8461.
- 2
8461 is prime because no prime up to ā8461 ā 91.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1058th prime is close to 1058 Ć ln(1058) ā 7368, and here it is 8461.
- 4
8461 has no twin: neither 8459 nor 8463 is prime.
Primes around the 1058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1055 | 8431 | 2 |
| 1056 | 8443 | 12 |
| 1057 | 8447 | 4 |
| 1058 | 8461 | 14 |
| 1059 | 8467 | 6 |
| 1060 | 8501 | 34 |
| 1061 | 8513 | 12 |
Questions
What is the 1058th prime number?
8461.
Which prime number is 8461?
8461 is the 1058th prime number.
What is the sum of the first 1058 primes?
4,158,455.