What is the 8460th prime number?
The 8460th prime number is 87119. The next prime is 87121 (a gap of 2) and the one before is 87107.
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 8460th one is 87119.
- 2
87119 is prime because no prime up to ā87119 ā 295.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8460th prime is close to 8460 Ć ln(8460) ā 76505, and here it is 87119.
- 4
87119 is a twin prime: 87119 and 87121 are both prime.
Primes around the 8460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8457 | 87083 | 12 |
| 8458 | 87103 | 20 |
| 8459 | 87107 | 4 |
| 8460 | 87119 | 12 |
| 8461 | 87121 | 2 |
| 8462 | 87133 | 12 |
| 8463 | 87149 | 16 |
Questions
What is the 8460th prime number?
87119.
Which prime number is 87119?
87119 is the 8460th prime number.
What is the sum of the first 8460 primes?
348,518,323.