What is the 8078th prime number?
The 8078th prime number is 82619. The next prime is 82633 (a gap of 14) and the one before is 82613.
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 8078th one is 82619.
- 2
82619 is prime because no prime up to ā82619 ā 287.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8078th prime is close to 8078 Ć ln(8078) ā 72677, and here it is 82619.
- 4
82619 has no twin: neither 82617 nor 82621 is prime.
Primes around the 8078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8075 | 82601 | 10 |
| 8076 | 82609 | 8 |
| 8077 | 82613 | 4 |
| 8078 | 82619 | 6 |
| 8079 | 82633 | 14 |
| 8080 | 82651 | 18 |
| 8081 | 82657 | 6 |
Questions
What is the 8078th prime number?
82619.
Which prime number is 82619?
82619 is the 8078th prime number.
What is the sum of the first 8078 primes?
316,090,777.