What is the 8070th prime number?
The 8070th prime number is 82559. The next prime is 82561 (a gap of 2) and the one before is 82549.
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 8070th one is 82559.
- 2
82559 is prime because no prime up to ā82559 ā 287.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8070th prime is close to 8070 Ć ln(8070) ā 72597, and here it is 82559.
- 4
82559 is a twin prime: 82559 and 82561 are both prime.
Primes around the 8070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8067 | 82529 | 22 |
| 8068 | 82531 | 2 |
| 8069 | 82549 | 18 |
| 8070 | 82559 | 10 |
| 8071 | 82561 | 2 |
| 8072 | 82567 | 6 |
| 8073 | 82571 | 4 |
Questions
What is the 8070th prime number?
82559.
Which prime number is 82559?
82559 is the 8070th prime number.
What is the sum of the first 8070 primes?
315,430,045.