What is the 3474th prime number?
The 3474th prime number is 32371. The next prime is 32377 (a gap of 6) and the one before is 32369.
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 3474th one is 32371.
- 2
32371 is prime because no prime up to ā32371 ā 179.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3474th prime is close to 3474 Ć ln(3474) ā 28324, and here it is 32371.
- 4
32371 is a twin prime: 32369 and 32371 are both prime.
Primes around the 3474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3471 | 32359 | 6 |
| 3472 | 32363 | 4 |
| 3473 | 32369 | 6 |
| 3474 | 32371 | 2 |
| 3475 | 32377 | 6 |
| 3476 | 32381 | 4 |
| 3477 | 32401 | 20 |
Questions
What is the 3474th prime number?
32371.
Which prime number is 32371?
32371 is the 3474th prime number.
What is the sum of the first 3474 primes?
52,819,705.