What is the 3580th prime number?
The 3580th prime number is 33427. The next prime is 33457 (a gap of 30) and the one before is 33413.
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 3580th one is 33427.
- 2
33427 is prime because no prime up to ā33427 ā 182.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3580th prime is close to 3580 Ć ln(3580) ā 29296, and here it is 33427.
- 4
33427 has no twin: neither 33425 nor 33429 is prime.
Primes around the 3580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3577 | 33403 | 12 |
| 3578 | 33409 | 6 |
| 3579 | 33413 | 4 |
| 3580 | 33427 | 14 |
| 3581 | 33457 | 30 |
| 3582 | 33461 | 4 |
| 3583 | 33469 | 8 |
Questions
What is the 3580th prime number?
33427.
Which prime number is 33427?
33427 is the 3580th prime number.
What is the sum of the first 3580 primes?
56,307,089.