What is the 3497th prime number?
The 3497th prime number is 32579. The next prime is 32587 (a gap of 8) and the one before is 32573.
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 3497th one is 32579.
- 2
32579 is prime because no prime up to ā32579 ā 180.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3497th prime is close to 3497 Ć ln(3497) ā 28534, and here it is 32579.
- 4
32579 has no twin: neither 32577 nor 32581 is prime.
Primes around the 3497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3494 | 32563 | 2 |
| 3495 | 32569 | 6 |
| 3496 | 32573 | 4 |
| 3497 | 32579 | 6 |
| 3498 | 32587 | 8 |
| 3499 | 32603 | 16 |
| 3500 | 32609 | 6 |
Questions
What is the 3497th prime number?
32579.
Which prime number is 32579?
32579 is the 3497th prime number.
What is the sum of the first 3497 primes?
53,566,814.