What is the 8473rd prime number?
The 8473rd prime number is 87257. The next prime is 87277 (a gap of 20) and the one before is 87253.
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 8473rd one is 87257.
- 2
87257 is prime because no prime up to ā87257 ā 295.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8473rd prime is close to 8473 Ć ln(8473) ā 76635, and here it is 87257.
- 4
87257 has no twin: neither 87255 nor 87259 is prime.
Primes around the 8473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8470 | 87223 | 2 |
| 8471 | 87251 | 28 |
| 8472 | 87253 | 2 |
| 8473 | 87257 | 4 |
| 8474 | 87277 | 20 |
| 8475 | 87281 | 4 |
| 8476 | 87293 | 12 |
Questions
What is the 8473rd prime number?
87257.
Which prime number is 87257?
87257 is the 8473rd prime number.
What is the sum of the first 8473 primes?
349,651,840.