What is the 3493rd prime number?
The 3493rd prime number is 32561. The next prime is 32563 (a gap of 2) and the one before is 32537.
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 3493rd one is 32561.
- 2
32561 is prime because no prime up to ā32561 ā 180.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3493rd prime is close to 3493 Ć ln(3493) ā 28498, and here it is 32561.
- 4
32561 is a twin prime: 32561 and 32563 are both prime.
Primes around the 3493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3490 | 32531 | 24 |
| 3491 | 32533 | 2 |
| 3492 | 32537 | 4 |
| 3493 | 32561 | 24 |
| 3494 | 32563 | 2 |
| 3495 | 32569 | 6 |
| 3496 | 32573 | 4 |
Questions
What is the 3493rd prime number?
32561.
Which prime number is 32561?
32561 is the 3493rd prime number.
What is the sum of the first 3493 primes?
53,436,530.