What is the 489th prime number?
The 489th prime number is 3499. The next prime is 3511 (a gap of 12) and the one before is 3491.
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 489th one is 3499.
- 2
3499 is prime because no prime up to ā3499 ā 59.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 489th prime is close to 489 Ć ln(489) ā 3028, and here it is 3499.
- 4
3499 has no twin: neither 3497 nor 3501 is prime.
Primes around the 489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 486 | 3467 | 4 |
| 487 | 3469 | 2 |
| 488 | 3491 | 22 |
| 489 | 3499 | 8 |
| 490 | 3511 | 12 |
| 491 | 3517 | 6 |
| 492 | 3527 | 10 |
Questions
What is the 489th prime number?
3499.
Which prime number is 3499?
3499 is the 489th prime number.
What is the sum of the first 489 primes?
785,762.