What is the 3499th prime number?
The 3499th prime number is 32603. The next prime is 32609 (a gap of 6) and the one before is 32587.
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 3499th one is 32603.
- 2
32603 is prime because no prime up to ā32603 ā 180.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3499th prime is close to 3499 Ć ln(3499) ā 28553, and here it is 32603.
- 4
32603 has no twin: neither 32601 nor 32605 is prime.
Primes around the 3499th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3496 | 32573 | 4 |
| 3497 | 32579 | 6 |
| 3498 | 32587 | 8 |
| 3499 | 32603 | 16 |
| 3500 | 32609 | 6 |
| 3501 | 32611 | 2 |
| 3502 | 32621 | 10 |
Questions
What is the 3499th prime number?
32603.
Which prime number is 32603?
32603 is the 3499th prime number.
What is the sum of the first 3499 primes?
53,632,004.