What is the 488th prime number?
The 488th prime number is 3491. The next prime is 3499 (a gap of 8) and the one before is 3469.
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 488th one is 3491.
- 2
3491 is prime because no prime up to ā3491 ā 59.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 488th prime is close to 488 Ć ln(488) ā 3021, and here it is 3491.
- 4
3491 has no twin: neither 3489 nor 3493 is prime.
Primes around the 488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 485 | 3463 | 2 |
| 486 | 3467 | 4 |
| 487 | 3469 | 2 |
| 488 | 3491 | 22 |
| 489 | 3499 | 8 |
| 490 | 3511 | 12 |
| 491 | 3517 | 6 |
Questions
What is the 488th prime number?
3491.
Which prime number is 3491?
3491 is the 488th prime number.
What is the sum of the first 488 primes?
782,263.