What is the 3459th prime number?
The 3459th prime number is 32251. The next prime is 32257 (a gap of 6) and the one before is 32237.
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 3459th one is 32251.
- 2
32251 is prime because no prime up to ā32251 ā 179.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3459th prime is close to 3459 Ć ln(3459) ā 28186, and here it is 32251.
- 4
32251 has no twin: neither 32249 nor 32253 is prime.
Primes around the 3459th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3456 | 32213 | 10 |
| 3457 | 32233 | 20 |
| 3458 | 32237 | 4 |
| 3459 | 32251 | 14 |
| 3460 | 32257 | 6 |
| 3461 | 32261 | 4 |
| 3462 | 32297 | 36 |
Questions
What is the 3459th prime number?
32251.
Which prime number is 32251?
32251 is the 3459th prime number.
What is the sum of the first 3459 primes?
52,334,852.