What is the 3578th prime number?
The 3578th prime number is 33409. The next prime is 33413 (a gap of 4) and the one before is 33403.
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 3578th one is 33409.
- 2
33409 is prime because no prime up to ā33409 ā 182.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3578th prime is close to 3578 Ć ln(3578) ā 29277, and here it is 33409.
- 4
33409 has no twin: neither 33407 nor 33411 is prime.
Primes around the 3578th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3575 | 33377 | 18 |
| 3576 | 33391 | 14 |
| 3577 | 33403 | 12 |
| 3578 | 33409 | 6 |
| 3579 | 33413 | 4 |
| 3580 | 33427 | 14 |
| 3581 | 33457 | 30 |
Questions
What is the 3578th prime number?
33409.
Which prime number is 33409?
33409 is the 3578th prime number.
What is the sum of the first 3578 primes?
56,240,249.