What is the 3473rd prime number?
The 3473rd prime number is 32369. The next prime is 32371 (a gap of 2) and the one before is 32363.
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 3473rd one is 32369.
- 2
32369 is prime because no prime up to ā32369 ā 179.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3473rd prime is close to 3473 Ć ln(3473) ā 28315, and here it is 32369.
- 4
32369 is a twin prime: 32369 and 32371 are both prime.
Primes around the 3473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3470 | 32353 | 12 |
| 3471 | 32359 | 6 |
| 3472 | 32363 | 4 |
| 3473 | 32369 | 6 |
| 3474 | 32371 | 2 |
| 3475 | 32377 | 6 |
| 3476 | 32381 | 4 |
Questions
What is the 3473rd prime number?
32369.
Which prime number is 32369?
32369 is the 3473rd prime number.
What is the sum of the first 3473 primes?
52,787,334.