What is the 8472nd prime number?
The 8472nd prime number is 87253. The next prime is 87257 (a gap of 4) and the one before is 87251.
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 8472nd one is 87253.
- 2
87253 is prime because no prime up to ā87253 ā 295.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8472nd prime is close to 8472 Ć ln(8472) ā 76625, and here it is 87253.
- 4
87253 is a twin prime: 87251 and 87253 are both prime.
Primes around the 8472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8469 | 87221 | 10 |
| 8470 | 87223 | 2 |
| 8471 | 87251 | 28 |
| 8472 | 87253 | 2 |
| 8473 | 87257 | 4 |
| 8474 | 87277 | 20 |
| 8475 | 87281 | 4 |
Questions
What is the 8472nd prime number?
87253.
Which prime number is 87253?
87253 is the 8472nd prime number.
What is the sum of the first 8472 primes?
349,564,583.