What is the 3496th prime number?
The 3496th prime number is 32573. The next prime is 32579 (a gap of 6) and the one before is 32569.
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 3496th one is 32573.
- 2
32573 is prime because no prime up to ā32573 ā 180.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3496th prime is close to 3496 Ć ln(3496) ā 28525, and here it is 32573.
- 4
32573 has no twin: neither 32571 nor 32575 is prime.
Primes around the 3496th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3493 | 32561 | 24 |
| 3494 | 32563 | 2 |
| 3495 | 32569 | 6 |
| 3496 | 32573 | 4 |
| 3497 | 32579 | 6 |
| 3498 | 32587 | 8 |
| 3499 | 32603 | 16 |
Questions
What is the 3496th prime number?
32573.
Which prime number is 32573?
32573 is the 3496th prime number.
What is the sum of the first 3496 primes?
53,534,235.