What is the 8469th prime number?
The 8469th prime number is 87221. The next prime is 87223 (a gap of 2) and the one before is 87211.
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 8469th one is 87221.
- 2
87221 is prime because no prime up to ā87221 ā 295.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8469th prime is close to 8469 Ć ln(8469) ā 76595, and here it is 87221.
- 4
87221 is a twin prime: 87221 and 87223 are both prime.
Primes around the 8469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8466 | 87181 | 2 |
| 8467 | 87187 | 6 |
| 8468 | 87211 | 24 |
| 8469 | 87221 | 10 |
| 8470 | 87223 | 2 |
| 8471 | 87251 | 28 |
| 8472 | 87253 | 2 |
Questions
What is the 8469th prime number?
87221.
Which prime number is 87221?
87221 is the 8469th prime number.
What is the sum of the first 8469 primes?
349,302,856.