What is the 3476th prime number?
The 3476th prime number is 32381. The next prime is 32401 (a gap of 20) and the one before is 32377.
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 3476th one is 32381.
- 2
32381 is prime because no prime up to ā32381 ā 179.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3476th prime is close to 3476 Ć ln(3476) ā 28342, and here it is 32381.
- 4
32381 has no twin: neither 32379 nor 32383 is prime.
Primes around the 3476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3473 | 32369 | 6 |
| 3474 | 32371 | 2 |
| 3475 | 32377 | 6 |
| 3476 | 32381 | 4 |
| 3477 | 32401 | 20 |
| 3478 | 32411 | 10 |
| 3479 | 32413 | 2 |
Questions
What is the 3476th prime number?
32381.
Which prime number is 32381?
32381 is the 3476th prime number.
What is the sum of the first 3476 primes?
52,884,463.