What is the 3490th prime number?
The 3490th prime number is 32531. The next prime is 32533 (a gap of 2) and the one before is 32507.
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 3490th one is 32531.
- 2
32531 is prime because no prime up to ā32531 ā 180.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3490th prime is close to 3490 Ć ln(3490) ā 28470, and here it is 32531.
- 4
32531 is a twin prime: 32531 and 32533 are both prime.
Primes around the 3490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3487 | 32497 | 6 |
| 3488 | 32503 | 6 |
| 3489 | 32507 | 4 |
| 3490 | 32531 | 24 |
| 3491 | 32533 | 2 |
| 3492 | 32537 | 4 |
| 3493 | 32561 | 24 |
Questions
What is the 3490th prime number?
32531.
Which prime number is 32531?
32531 is the 3490th prime number.
What is the sum of the first 3490 primes?
53,338,899.