What is the 3491st prime number?
The 3491st prime number is 32533. The next prime is 32537 (a gap of 4) and the one before is 32531.
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 3491st one is 32533.
- 2
32533 is prime because no prime up to ā32533 ā 180.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3491st prime is close to 3491 Ć ln(3491) ā 28479, and here it is 32533.
- 4
32533 is a twin prime: 32531 and 32533 are both prime.
Primes around the 3491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3488 | 32503 | 6 |
| 3489 | 32507 | 4 |
| 3490 | 32531 | 24 |
| 3491 | 32533 | 2 |
| 3492 | 32537 | 4 |
| 3493 | 32561 | 24 |
| 3494 | 32563 | 2 |
Questions
What is the 3491st prime number?
32533.
Which prime number is 32533?
32533 is the 3491st prime number.
What is the sum of the first 3491 primes?
53,371,432.