What is the 1575th prime number?
The 1575th prime number is 13249. The next prime is 13259 (a gap of 10) and the one before is 13241.
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 1575th one is 13249.
- 2
13249 is prime because no prime up to ā13249 ā 115.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1575th prime is close to 1575 Ć ln(1575) ā 11595, and here it is 13249.
- 4
13249 has no twin: neither 13247 nor 13251 is prime.
Primes around the 1575th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1572 | 13219 | 2 |
| 1573 | 13229 | 10 |
| 1574 | 13241 | 12 |
| 1575 | 13249 | 8 |
| 1576 | 13259 | 10 |
| 1577 | 13267 | 8 |
| 1578 | 13291 | 24 |
Questions
What is the 1575th prime number?
13249.
Which prime number is 13249?
13249 is the 1575th prime number.
What is the sum of the first 1575 primes?
9,764,582.