What is the 490th prime number?
The 490th prime number is 3511. The next prime is 3517 (a gap of 6) and the one before is 3499.
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 490th one is 3511.
- 2
3511 is prime because no prime up to ā3511 ā 59.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 490th prime is close to 490 Ć ln(490) ā 3035, and here it is 3511.
- 4
3511 has no twin: neither 3509 nor 3513 is prime.
Primes around the 490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 487 | 3469 | 2 |
| 488 | 3491 | 22 |
| 489 | 3499 | 8 |
| 490 | 3511 | 12 |
| 491 | 3517 | 6 |
| 492 | 3527 | 10 |
| 493 | 3529 | 2 |
Questions
What is the 490th prime number?
3511.
Which prime number is 3511?
3511 is the 490th prime number.
What is the sum of the first 490 primes?
789,273.