What is the 3582nd prime number?
The 3582nd prime number is 33461. The next prime is 33469 (a gap of 8) and the one before is 33457.
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 3582nd one is 33461.
- 2
33461 is prime because no prime up to ā33461 ā 182.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3582nd prime is close to 3582 Ć ln(3582) ā 29314, and here it is 33461.
- 4
33461 has no twin: neither 33459 nor 33463 is prime.
Primes around the 3582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3579 | 33413 | 4 |
| 3580 | 33427 | 14 |
| 3581 | 33457 | 30 |
| 3582 | 33461 | 4 |
| 3583 | 33469 | 8 |
| 3584 | 33479 | 10 |
| 3585 | 33487 | 8 |
Questions
What is the 3582nd prime number?
33461.
Which prime number is 33461?
33461 is the 3582nd prime number.
What is the sum of the first 3582 primes?
56,374,007.