What is the 8077th prime number?
The 8077th prime number is 82613. The next prime is 82619 (a gap of 6) and the one before is 82609.
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 8077th one is 82613.
- 2
82613 is prime because no prime up to ā82613 ā 287.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8077th prime is close to 8077 Ć ln(8077) ā 72667, and here it is 82613.
- 4
82613 has no twin: neither 82611 nor 82615 is prime.
Primes around the 8077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8074 | 82591 | 20 |
| 8075 | 82601 | 10 |
| 8076 | 82609 | 8 |
| 8077 | 82613 | 4 |
| 8078 | 82619 | 6 |
| 8079 | 82633 | 14 |
| 8080 | 82651 | 18 |
Questions
What is the 8077th prime number?
82613.
Which prime number is 82613?
82613 is the 8077th prime number.
What is the sum of the first 8077 primes?
316,008,158.