What is the 8521st prime number?
The 8521st prime number is 87739. The next prime is 87743 (a gap of 4) and the one before is 87721.
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 8521st one is 87739.
- 2
87739 is prime because no prime up to ā87739 ā 296.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8521st prime is close to 8521 Ć ln(8521) ā 77118, and here it is 87739.
- 4
87739 has no twin: neither 87737 nor 87741 is prime.
Primes around the 8521st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8518 | 87701 | 4 |
| 8519 | 87719 | 18 |
| 8520 | 87721 | 2 |
| 8521 | 87739 | 18 |
| 8522 | 87743 | 4 |
| 8523 | 87751 | 8 |
| 8524 | 87767 | 16 |
Questions
What is the 8521st prime number?
87739.
Which prime number is 87739?
87739 is the 8521st prime number.
What is the sum of the first 8521 primes?
353,852,846.