What is the 8464th prime number?
The 8464th prime number is 87151. The next prime is 87179 (a gap of 28) and the one before is 87149.
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 8464th one is 87151.
- 2
87151 is prime because no prime up to ā87151 ā 295.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8464th prime is close to 8464 Ć ln(8464) ā 76545, and here it is 87151.
- 4
87151 is a twin prime: 87149 and 87151 are both prime.
Primes around the 8464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8461 | 87121 | 2 |
| 8462 | 87133 | 12 |
| 8463 | 87149 | 16 |
| 8464 | 87151 | 2 |
| 8465 | 87179 | 28 |
| 8466 | 87181 | 2 |
| 8467 | 87187 | 6 |
Questions
What is the 8464th prime number?
87151.
Which prime number is 87151?
87151 is the 8464th prime number.
What is the sum of the first 8464 primes?
348,866,877.