What is the 8065th prime number?
The 8065th prime number is 82499. The next prime is 82507 (a gap of 8) and the one before is 82493.
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 8065th one is 82499.
- 2
82499 is prime because no prime up to ā82499 ā 287.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8065th prime is close to 8065 Ć ln(8065) ā 72547, and here it is 82499.
- 4
82499 has no twin: neither 82497 nor 82501 is prime.
Primes around the 8065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8062 | 82483 | 12 |
| 8063 | 82487 | 4 |
| 8064 | 82493 | 6 |
| 8065 | 82499 | 6 |
| 8066 | 82507 | 8 |
| 8067 | 82529 | 22 |
| 8068 | 82531 | 2 |
Questions
What is the 8065th prime number?
82499.
Which prime number is 82499?
82499 is the 8065th prime number.
What is the sum of the first 8065 primes?
315,017,370.