What is the 8475th prime number?
The 8475th prime number is 87281. The next prime is 87293 (a gap of 12) and the one before is 87277.
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 8475th one is 87281.
- 2
87281 is prime because no prime up to ā87281 ā 295.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8475th prime is close to 8475 Ć ln(8475) ā 76655, and here it is 87281.
- 4
87281 has no twin: neither 87279 nor 87283 is prime.
Primes around the 8475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8472 | 87253 | 2 |
| 8473 | 87257 | 4 |
| 8474 | 87277 | 20 |
| 8475 | 87281 | 4 |
| 8476 | 87293 | 12 |
| 8477 | 87299 | 6 |
| 8478 | 87313 | 14 |
Questions
What is the 8475th prime number?
87281.
Which prime number is 87281?
87281 is the 8475th prime number.
What is the sum of the first 8475 primes?
349,826,398.