What is the 3477th prime number?
The 3477th prime number is 32401. The next prime is 32411 (a gap of 10) and the one before is 32381.
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 3477th one is 32401.
- 2
32401 is prime because no prime up to ā32401 ā 180.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3477th prime is close to 3477 Ć ln(3477) ā 28351, and here it is 32401.
- 4
32401 has no twin: neither 32399 nor 32403 is prime.
Primes around the 3477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3474 | 32371 | 2 |
| 3475 | 32377 | 6 |
| 3476 | 32381 | 4 |
| 3477 | 32401 | 20 |
| 3478 | 32411 | 10 |
| 3479 | 32413 | 2 |
| 3480 | 32423 | 10 |
Questions
What is the 3477th prime number?
32401.
Which prime number is 32401?
32401 is the 3477th prime number.
What is the sum of the first 3477 primes?
52,916,864.