What is the 1578th prime number?
The 1578th prime number is 13291. The next prime is 13297 (a gap of 6) and the one before is 13267.
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 1578th one is 13291.
- 2
13291 is prime because no prime up to ā13291 ā 115.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1578th prime is close to 1578 Ć ln(1578) ā 11620, and here it is 13291.
- 4
13291 has no twin: neither 13289 nor 13293 is prime.
Primes around the 1578th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1575 | 13249 | 8 |
| 1576 | 13259 | 10 |
| 1577 | 13267 | 8 |
| 1578 | 13291 | 24 |
| 1579 | 13297 | 6 |
| 1580 | 13309 | 12 |
| 1581 | 13313 | 4 |
Questions
What is the 1578th prime number?
13291.
Which prime number is 13291?
13291 is the 1578th prime number.
What is the sum of the first 1578 primes?
9,804,399.