What is the 455th prime number?
The 455th prime number is 3217. The next prime is 3221 (a gap of 4) and the one before is 3209.
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 455th one is 3217.
- 2
3217 is prime because no prime up to ā3217 ā 56.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 455th prime is close to 455 Ć ln(455) ā 2785, and here it is 3217.
- 4
3217 has no twin: neither 3215 nor 3219 is prime.
Primes around the 455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 452 | 3191 | 4 |
| 453 | 3203 | 12 |
| 454 | 3209 | 6 |
| 455 | 3217 | 8 |
| 456 | 3221 | 4 |
| 457 | 3229 | 8 |
| 458 | 3251 | 22 |
Questions
What is the 455th prime number?
3217.
Which prime number is 3217?
3217 is the 455th prime number.
What is the sum of the first 455 primes?
671,556.