What is the 8462nd prime number?
The 8462nd prime number is 87133. The next prime is 87149 (a gap of 16) and the one before is 87121.
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 8462nd one is 87133.
- 2
87133 is prime because no prime up to ā87133 ā 295.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8462nd prime is close to 8462 Ć ln(8462) ā 76525, and here it is 87133.
- 4
87133 has no twin: neither 87131 nor 87135 is prime.
Primes around the 8462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8459 | 87107 | 4 |
| 8460 | 87119 | 12 |
| 8461 | 87121 | 2 |
| 8462 | 87133 | 12 |
| 8463 | 87149 | 16 |
| 8464 | 87151 | 2 |
| 8465 | 87179 | 28 |
Questions
What is the 8462nd prime number?
87133.
Which prime number is 87133?
87133 is the 8462nd prime number.
What is the sum of the first 8462 primes?
348,692,577.