What is the 3458th prime number?
The 3458th prime number is 32237. The next prime is 32251 (a gap of 14) and the one before is 32233.
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 3458th one is 32237.
- 2
32237 is prime because no prime up to ā32237 ā 179.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3458th prime is close to 3458 Ć ln(3458) ā 28177, and here it is 32237.
- 4
32237 has no twin: neither 32235 nor 32239 is prime.
Primes around the 3458th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3455 | 32203 | 12 |
| 3456 | 32213 | 10 |
| 3457 | 32233 | 20 |
| 3458 | 32237 | 4 |
| 3459 | 32251 | 14 |
| 3460 | 32257 | 6 |
| 3461 | 32261 | 4 |
Questions
What is the 3458th prime number?
32237.
Which prime number is 32237?
32237 is the 3458th prime number.
What is the sum of the first 3458 primes?
52,302,601.