What is the 8470th prime number?
The 8470th prime number is 87223. The next prime is 87251 (a gap of 28) and the one before is 87221.
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 8470th one is 87223.
- 2
87223 is prime because no prime up to ā87223 ā 295.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8470th prime is close to 8470 Ć ln(8470) ā 76605, and here it is 87223.
- 4
87223 is a twin prime: 87221 and 87223 are both prime.
Primes around the 8470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8467 | 87187 | 6 |
| 8468 | 87211 | 24 |
| 8469 | 87221 | 10 |
| 8470 | 87223 | 2 |
| 8471 | 87251 | 28 |
| 8472 | 87253 | 2 |
| 8473 | 87257 | 4 |
Questions
What is the 8470th prime number?
87223.
Which prime number is 87223?
87223 is the 8470th prime number.
What is the sum of the first 8470 primes?
349,390,079.