What is the 3475th prime number?
The 3475th prime number is 32377. The next prime is 32381 (a gap of 4) and the one before is 32371.
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 3475th one is 32377.
- 2
32377 is prime because no prime up to ā32377 ā 179.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3475th prime is close to 3475 Ć ln(3475) ā 28333, and here it is 32377.
- 4
32377 has no twin: neither 32375 nor 32379 is prime.
Primes around the 3475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3472 | 32363 | 4 |
| 3473 | 32369 | 6 |
| 3474 | 32371 | 2 |
| 3475 | 32377 | 6 |
| 3476 | 32381 | 4 |
| 3477 | 32401 | 20 |
| 3478 | 32411 | 10 |
Questions
What is the 3475th prime number?
32377.
Which prime number is 32377?
32377 is the 3475th prime number.
What is the sum of the first 3475 primes?
52,852,082.