What is the 1574th prime number?
The 1574th prime number is 13241. The next prime is 13249 (a gap of 8) and the one before is 13229.
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 1574th one is 13241.
- 2
13241 is prime because no prime up to ā13241 ā 115.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1574th prime is close to 1574 Ć ln(1574) ā 11587, and here it is 13241.
- 4
13241 has no twin: neither 13239 nor 13243 is prime.
Primes around the 1574th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1571 | 13217 | 30 |
| 1572 | 13219 | 2 |
| 1573 | 13229 | 10 |
| 1574 | 13241 | 12 |
| 1575 | 13249 | 8 |
| 1576 | 13259 | 10 |
| 1577 | 13267 | 8 |
Questions
What is the 1574th prime number?
13241.
Which prime number is 13241?
13241 is the 1574th prime number.
What is the sum of the first 1574 primes?
9,751,333.