What is the 3583rd prime number?
The 3583rd prime number is 33469. The next prime is 33479 (a gap of 10) and the one before is 33461.
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 3583rd one is 33469.
- 2
33469 is prime because no prime up to ā33469 ā 182.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3583rd prime is close to 3583 Ć ln(3583) ā 29323, and here it is 33469.
- 4
33469 has no twin: neither 33467 nor 33471 is prime.
Primes around the 3583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3580 | 33427 | 14 |
| 3581 | 33457 | 30 |
| 3582 | 33461 | 4 |
| 3583 | 33469 | 8 |
| 3584 | 33479 | 10 |
| 3585 | 33487 | 8 |
| 3586 | 33493 | 6 |
Questions
What is the 3583rd prime number?
33469.
Which prime number is 33469?
33469 is the 3583rd prime number.
What is the sum of the first 3583 primes?
56,407,476.