What is the 3581st prime number?
The 3581st prime number is 33457. The next prime is 33461 (a gap of 4) and the one before is 33427.
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 3581st one is 33457.
- 2
33457 is prime because no prime up to ā33457 ā 182.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3581st prime is close to 3581 Ć ln(3581) ā 29305, and here it is 33457.
- 4
33457 has no twin: neither 33455 nor 33459 is prime.
Primes around the 3581st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3578 | 33409 | 6 |
| 3579 | 33413 | 4 |
| 3580 | 33427 | 14 |
| 3581 | 33457 | 30 |
| 3582 | 33461 | 4 |
| 3583 | 33469 | 8 |
| 3584 | 33479 | 10 |
Questions
What is the 3581st prime number?
33457.
Which prime number is 33457?
33457 is the 3581st prime number.
What is the sum of the first 3581 primes?
56,340,546.