What is the 8071st prime number?
The 8071st prime number is 82561. The next prime is 82567 (a gap of 6) and the one before is 82559.
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 8071st one is 82561.
- 2
82561 is prime because no prime up to ā82561 ā 287.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8071st prime is close to 8071 Ć ln(8071) ā 72607, and here it is 82561.
- 4
82561 is a twin prime: 82559 and 82561 are both prime.
Primes around the 8071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8068 | 82531 | 2 |
| 8069 | 82549 | 18 |
| 8070 | 82559 | 10 |
| 8071 | 82561 | 2 |
| 8072 | 82567 | 6 |
| 8073 | 82571 | 4 |
| 8074 | 82591 | 20 |
Questions
What is the 8071st prime number?
82561.
Which prime number is 82561?
82561 is the 8071st prime number.
What is the sum of the first 8071 primes?
315,512,606.