What is the 8474th prime number?
The 8474th prime number is 87277. The next prime is 87281 (a gap of 4) and the one before is 87257.
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 8474th one is 87277.
- 2
87277 is prime because no prime up to ā87277 ā 295.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8474th prime is close to 8474 Ć ln(8474) ā 76645, and here it is 87277.
- 4
87277 has no twin: neither 87275 nor 87279 is prime.
Primes around the 8474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8471 | 87251 | 28 |
| 8472 | 87253 | 2 |
| 8473 | 87257 | 4 |
| 8474 | 87277 | 20 |
| 8475 | 87281 | 4 |
| 8476 | 87293 | 12 |
| 8477 | 87299 | 6 |
Questions
What is the 8474th prime number?
87277.
Which prime number is 87277?
87277 is the 8474th prime number.
What is the sum of the first 8474 primes?
349,739,117.