What is the 454th prime number?
The 454th prime number is 3209. The next prime is 3217 (a gap of 8) and the one before is 3203.
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 454th one is 3209.
- 2
3209 is prime because no prime up to ā3209 ā 56.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 454th prime is close to 454 Ć ln(454) ā 2778, and here it is 3209.
- 4
3209 has no twin: neither 3207 nor 3211 is prime.
Primes around the 454th
| Position | Prime | Gap from the previous |
|---|---|---|
| 451 | 3187 | 6 |
| 452 | 3191 | 4 |
| 453 | 3203 | 12 |
| 454 | 3209 | 6 |
| 455 | 3217 | 8 |
| 456 | 3221 | 4 |
| 457 | 3229 | 8 |
Questions
What is the 454th prime number?
3209.
Which prime number is 3209?
3209 is the 454th prime number.
What is the sum of the first 454 primes?
668,339.