What is the 1059th prime number?
The 1059th prime number is 8467. The next prime is 8501 (a gap of 34) and the one before is 8461.
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 1059th one is 8467.
- 2
8467 is prime because no prime up to ā8467 ā 92.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1059th prime is close to 1059 Ć ln(1059) ā 7376, and here it is 8467.
- 4
8467 has no twin: neither 8465 nor 8469 is prime.
Primes around the 1059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1056 | 8443 | 12 |
| 1057 | 8447 | 4 |
| 1058 | 8461 | 14 |
| 1059 | 8467 | 6 |
| 1060 | 8501 | 34 |
| 1061 | 8513 | 12 |
| 1062 | 8521 | 8 |
Questions
What is the 1059th prime number?
8467.
Which prime number is 8467?
8467 is the 1059th prime number.
What is the sum of the first 1059 primes?
4,166,922.