What is the 8072nd prime number?
The 8072nd prime number is 82567. The next prime is 82571 (a gap of 4) and the one before is 82561.
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 8072nd one is 82567.
- 2
82567 is prime because no prime up to ā82567 ā 287.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8072nd prime is close to 8072 Ć ln(8072) ā 72617, and here it is 82567.
- 4
82567 has no twin: neither 82565 nor 82569 is prime.
Primes around the 8072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8069 | 82549 | 18 |
| 8070 | 82559 | 10 |
| 8071 | 82561 | 2 |
| 8072 | 82567 | 6 |
| 8073 | 82571 | 4 |
| 8074 | 82591 | 20 |
| 8075 | 82601 | 10 |
Questions
What is the 8072nd prime number?
82567.
Which prime number is 82567?
82567 is the 8072nd prime number.
What is the sum of the first 8072 primes?
315,595,173.