What is the 8490th prime number?
The 8490th prime number is 87473. The next prime is 87481 (a gap of 8) and the one before is 87443.
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 8490th one is 87473.
- 2
87473 is prime because no prime up to ā87473 ā 295.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8490th prime is close to 8490 Ć ln(8490) ā 76806, and here it is 87473.
- 4
87473 has no twin: neither 87471 nor 87475 is prime.
Primes around the 8490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8487 | 87427 | 6 |
| 8488 | 87433 | 6 |
| 8489 | 87443 | 10 |
| 8490 | 87473 | 30 |
| 8491 | 87481 | 8 |
| 8492 | 87491 | 10 |
| 8493 | 87509 | 18 |
Questions
What is the 8490th prime number?
87473.
Which prime number is 87473?
87473 is the 8490th prime number.
What is the sum of the first 8490 primes?
351,137,029.