What is the 1580th prime number?
The 1580th prime number is 13309. The next prime is 13313 (a gap of 4) and the one before is 13297.
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 1580th one is 13309.
- 2
13309 is prime because no prime up to ā13309 ā 115.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1580th prime is close to 1580 Ć ln(1580) ā 11637, and here it is 13309.
- 4
13309 has no twin: neither 13307 nor 13311 is prime.
Primes around the 1580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1577 | 13267 | 8 |
| 1578 | 13291 | 24 |
| 1579 | 13297 | 6 |
| 1580 | 13309 | 12 |
| 1581 | 13313 | 4 |
| 1582 | 13327 | 14 |
| 1583 | 13331 | 4 |
Questions
What is the 1580th prime number?
13309.
Which prime number is 13309?
13309 is the 1580th prime number.
What is the sum of the first 1580 primes?
9,831,005.