What is the 8073rd prime number?
The 8073rd prime number is 82571. The next prime is 82591 (a gap of 20) and the one before is 82567.
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 8073rd one is 82571.
- 2
82571 is prime because no prime up to ā82571 ā 287.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8073rd prime is close to 8073 Ć ln(8073) ā 72627, and here it is 82571.
- 4
82571 has no twin: neither 82569 nor 82573 is prime.
Primes around the 8073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8070 | 82559 | 10 |
| 8071 | 82561 | 2 |
| 8072 | 82567 | 6 |
| 8073 | 82571 | 4 |
| 8074 | 82591 | 20 |
| 8075 | 82601 | 10 |
| 8076 | 82609 | 8 |
Questions
What is the 8073rd prime number?
82571.
Which prime number is 82571?
82571 is the 8073rd prime number.
What is the sum of the first 8073 primes?
315,677,744.