What is the 8481st prime number?
The 8481st prime number is 87337. The next prime is 87359 (a gap of 22) and the one before is 87323.
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 8481st one is 87337.
- 2
87337 is prime because no prime up to ā87337 ā 295.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8481st prime is close to 8481 Ć ln(8481) ā 76716, and here it is 87337.
- 4
87337 has no twin: neither 87335 nor 87339 is prime.
Primes around the 8481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8478 | 87313 | 14 |
| 8479 | 87317 | 4 |
| 8480 | 87323 | 6 |
| 8481 | 87337 | 14 |
| 8482 | 87359 | 22 |
| 8483 | 87383 | 24 |
| 8484 | 87403 | 20 |
Questions
What is the 8481st prime number?
87337.
Which prime number is 87337?
87337 is the 8481st prime number.
What is the sum of the first 8481 primes?
350,350,280.