What is the 8468th prime number?
The 8468th prime number is 87211. The next prime is 87221 (a gap of 10) and the one before is 87187.
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 8468th one is 87211.
- 2
87211 is prime because no prime up to ā87211 ā 295.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8468th prime is close to 8468 Ć ln(8468) ā 76585, and here it is 87211.
- 4
87211 has no twin: neither 87209 nor 87213 is prime.
Primes around the 8468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8465 | 87179 | 28 |
| 8466 | 87181 | 2 |
| 8467 | 87187 | 6 |
| 8468 | 87211 | 24 |
| 8469 | 87221 | 10 |
| 8470 | 87223 | 2 |
| 8471 | 87251 | 28 |
Questions
What is the 8468th prime number?
87211.
Which prime number is 87211?
87211 is the 8468th prime number.
What is the sum of the first 8468 primes?
349,215,635.