What is the 3579th prime number?
The 3579th prime number is 33413. The next prime is 33427 (a gap of 14) and the one before is 33409.
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 3579th one is 33413.
- 2
33413 is prime because no prime up to ā33413 ā 182.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3579th prime is close to 3579 Ć ln(3579) ā 29286, and here it is 33413.
- 4
33413 has no twin: neither 33411 nor 33415 is prime.
Primes around the 3579th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3576 | 33391 | 14 |
| 3577 | 33403 | 12 |
| 3578 | 33409 | 6 |
| 3579 | 33413 | 4 |
| 3580 | 33427 | 14 |
| 3581 | 33457 | 30 |
| 3582 | 33461 | 4 |
Questions
What is the 3579th prime number?
33413.
Which prime number is 33413?
33413 is the 3579th prime number.
What is the sum of the first 3579 primes?
56,273,662.