What is the 8488th prime number?
The 8488th prime number is 87433. The next prime is 87443 (a gap of 10) and the one before is 87427.
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 8488th one is 87433.
- 2
87433 is prime because no prime up to ā87433 ā 295.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8488th prime is close to 8488 Ć ln(8488) ā 76786, and here it is 87433.
- 4
87433 has no twin: neither 87431 nor 87435 is prime.
Primes around the 8488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8485 | 87407 | 4 |
| 8486 | 87421 | 14 |
| 8487 | 87427 | 6 |
| 8488 | 87433 | 6 |
| 8489 | 87443 | 10 |
| 8490 | 87473 | 30 |
| 8491 | 87481 | 8 |
Questions
What is the 8488th prime number?
87433.
Which prime number is 87433?
87433 is the 8488th prime number.
What is the sum of the first 8488 primes?
350,962,113.