What is the 3489th prime number?
The 3489th prime number is 32507. The next prime is 32531 (a gap of 24) and the one before is 32503.
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 3489th one is 32507.
- 2
32507 is prime because no prime up to ā32507 ā 180.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3489th prime is close to 3489 Ć ln(3489) ā 28461, and here it is 32507.
- 4
32507 has no twin: neither 32505 nor 32509 is prime.
Primes around the 3489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3486 | 32491 | 12 |
| 3487 | 32497 | 6 |
| 3488 | 32503 | 6 |
| 3489 | 32507 | 4 |
| 3490 | 32531 | 24 |
| 3491 | 32533 | 2 |
| 3492 | 32537 | 4 |
Questions
What is the 3489th prime number?
32507.
Which prime number is 32507?
32507 is the 3489th prime number.
What is the sum of the first 3489 primes?
53,306,368.