What is the 8066th prime number?
The 8066th prime number is 82507. The next prime is 82529 (a gap of 22) and the one before is 82499.
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 8066th one is 82507.
- 2
82507 is prime because no prime up to ā82507 ā 287.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8066th prime is close to 8066 Ć ln(8066) ā 72557, and here it is 82507.
- 4
82507 has no twin: neither 82505 nor 82509 is prime.
Primes around the 8066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8063 | 82487 | 4 |
| 8064 | 82493 | 6 |
| 8065 | 82499 | 6 |
| 8066 | 82507 | 8 |
| 8067 | 82529 | 22 |
| 8068 | 82531 | 2 |
| 8069 | 82549 | 18 |
Questions
What is the 8066th prime number?
82507.
Which prime number is 82507?
82507 is the 8066th prime number.
What is the sum of the first 8066 primes?
315,099,877.