What is the 8076th prime number?
The 8076th prime number is 82609. The next prime is 82613 (a gap of 4) and the one before is 82601.
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 8076th one is 82609.
- 2
82609 is prime because no prime up to ā82609 ā 287.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8076th prime is close to 8076 Ć ln(8076) ā 72657, and here it is 82609.
- 4
82609 has no twin: neither 82607 nor 82611 is prime.
Primes around the 8076th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8073 | 82571 | 4 |
| 8074 | 82591 | 20 |
| 8075 | 82601 | 10 |
| 8076 | 82609 | 8 |
| 8077 | 82613 | 4 |
| 8078 | 82619 | 6 |
| 8079 | 82633 | 14 |
Questions
What is the 8076th prime number?
82609.
Which prime number is 82609?
82609 is the 8076th prime number.
What is the sum of the first 8076 primes?
315,925,545.