What is the 8075th prime number?
The 8075th prime number is 82601. The next prime is 82609 (a gap of 8) and the one before is 82591.
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 8075th one is 82601.
- 2
82601 is prime because no prime up to ā82601 ā 287.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8075th prime is close to 8075 Ć ln(8075) ā 72647, and here it is 82601.
- 4
82601 has no twin: neither 82599 nor 82603 is prime.
Primes around the 8075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8072 | 82567 | 6 |
| 8073 | 82571 | 4 |
| 8074 | 82591 | 20 |
| 8075 | 82601 | 10 |
| 8076 | 82609 | 8 |
| 8077 | 82613 | 4 |
| 8078 | 82619 | 6 |
Questions
What is the 8075th prime number?
82601.
Which prime number is 82601?
82601 is the 8075th prime number.
What is the sum of the first 8075 primes?
315,842,936.