What is the 3492nd prime number?
The 3492nd prime number is 32537. The next prime is 32561 (a gap of 24) and the one before is 32533.
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 3492nd one is 32537.
- 2
32537 is prime because no prime up to ā32537 ā 180.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3492nd prime is close to 3492 Ć ln(3492) ā 28489, and here it is 32537.
- 4
32537 has no twin: neither 32535 nor 32539 is prime.
Primes around the 3492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3489 | 32507 | 4 |
| 3490 | 32531 | 24 |
| 3491 | 32533 | 2 |
| 3492 | 32537 | 4 |
| 3493 | 32561 | 24 |
| 3494 | 32563 | 2 |
| 3495 | 32569 | 6 |
Questions
What is the 3492nd prime number?
32537.
Which prime number is 32537?
32537 is the 3492nd prime number.
What is the sum of the first 3492 primes?
53,403,969.