What is the 3456th prime number?
The 3456th prime number is 32213. The next prime is 32233 (a gap of 20) and the one before is 32203.
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 3456th one is 32213.
- 2
32213 is prime because no prime up to ā32213 ā 179.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3456th prime is close to 3456 Ć ln(3456) ā 28159, and here it is 32213.
- 4
32213 has no twin: neither 32211 nor 32215 is prime.
Primes around the 3456th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3453 | 32189 | 6 |
| 3454 | 32191 | 2 |
| 3455 | 32203 | 12 |
| 3456 | 32213 | 10 |
| 3457 | 32233 | 20 |
| 3458 | 32237 | 4 |
| 3459 | 32251 | 14 |
Questions
What is the 3456th prime number?
32213.
Which prime number is 32213?
32213 is the 3456th prime number.
What is the sum of the first 3456 primes?
52,238,131.