What is the 8461st prime number?
The 8461st prime number is 87121. The next prime is 87133 (a gap of 12) and the one before is 87119.
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 8461st one is 87121.
- 2
87121 is prime because no prime up to ā87121 ā 295.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8461st prime is close to 8461 Ć ln(8461) ā 76515, and here it is 87121.
- 4
87121 is a twin prime: 87119 and 87121 are both prime.
Primes around the 8461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8458 | 87103 | 20 |
| 8459 | 87107 | 4 |
| 8460 | 87119 | 12 |
| 8461 | 87121 | 2 |
| 8462 | 87133 | 12 |
| 8463 | 87149 | 16 |
| 8464 | 87151 | 2 |
Questions
What is the 8461st prime number?
87121.
Which prime number is 87121?
87121 is the 8461st prime number.
What is the sum of the first 8461 primes?
348,605,444.