What is the 3498th prime number?
The 3498th prime number is 32587. The next prime is 32603 (a gap of 16) and the one before is 32579.
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 3498th one is 32587.
- 2
32587 is prime because no prime up to ā32587 ā 180.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3498th prime is close to 3498 Ć ln(3498) ā 28543, and here it is 32587.
- 4
32587 has no twin: neither 32585 nor 32589 is prime.
Primes around the 3498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3495 | 32569 | 6 |
| 3496 | 32573 | 4 |
| 3497 | 32579 | 6 |
| 3498 | 32587 | 8 |
| 3499 | 32603 | 16 |
| 3500 | 32609 | 6 |
| 3501 | 32611 | 2 |
Questions
What is the 3498th prime number?
32587.
Which prime number is 32587?
32587 is the 3498th prime number.
What is the sum of the first 3498 primes?
53,599,401.