What is the 3460th prime number?
The 3460th prime number is 32257. The next prime is 32261 (a gap of 4) and the one before is 32251.
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 3460th one is 32257.
- 2
32257 is prime because no prime up to ā32257 ā 179.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3460th prime is close to 3460 Ć ln(3460) ā 28196, and here it is 32257.
- 4
32257 has no twin: neither 32255 nor 32259 is prime.
Primes around the 3460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3457 | 32233 | 20 |
| 3458 | 32237 | 4 |
| 3459 | 32251 | 14 |
| 3460 | 32257 | 6 |
| 3461 | 32261 | 4 |
| 3462 | 32297 | 36 |
| 3463 | 32299 | 2 |
Questions
What is the 3460th prime number?
32257.
Which prime number is 32257?
32257 is the 3460th prime number.
What is the sum of the first 3460 primes?
52,367,109.