What is the 8471st prime number?
The 8471st prime number is 87251. The next prime is 87253 (a gap of 2) and the one before is 87223.
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 8471st one is 87251.
- 2
87251 is prime because no prime up to ā87251 ā 295.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8471st prime is close to 8471 Ć ln(8471) ā 76615, and here it is 87251.
- 4
87251 is a twin prime: 87251 and 87253 are both prime.
Primes around the 8471st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8468 | 87211 | 24 |
| 8469 | 87221 | 10 |
| 8470 | 87223 | 2 |
| 8471 | 87251 | 28 |
| 8472 | 87253 | 2 |
| 8473 | 87257 | 4 |
| 8474 | 87277 | 20 |
Questions
What is the 8471st prime number?
87251.
Which prime number is 87251?
87251 is the 8471st prime number.
What is the sum of the first 8471 primes?
349,477,330.