What is the 3457th prime number?
The 3457th prime number is 32233. The next prime is 32237 (a gap of 4) and the one before is 32213.
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 3457th one is 32233.
- 2
32233 is prime because no prime up to ā32233 ā 179.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3457th prime is close to 3457 Ć ln(3457) ā 28168, and here it is 32233.
- 4
32233 has no twin: neither 32231 nor 32235 is prime.
Primes around the 3457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3454 | 32191 | 2 |
| 3455 | 32203 | 12 |
| 3456 | 32213 | 10 |
| 3457 | 32233 | 20 |
| 3458 | 32237 | 4 |
| 3459 | 32251 | 14 |
| 3460 | 32257 | 6 |
Questions
What is the 3457th prime number?
32233.
Which prime number is 32233?
32233 is the 3457th prime number.
What is the sum of the first 3457 primes?
52,270,364.