What is the 7082nd prime number?
The 7082nd prime number is 71483. The next prime is 71503 (a gap of 20) and the one before is 71479.
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 7082nd one is 71483.
- 2
71483 is prime because no prime up to ā71483 ā 267.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7082nd prime is close to 7082 Ć ln(7082) ā 62784, and here it is 71483.
- 4
71483 has no twin: neither 71481 nor 71485 is prime.
Primes around the 7082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7079 | 71471 | 18 |
| 7080 | 71473 | 2 |
| 7081 | 71479 | 6 |
| 7082 | 71483 | 4 |
| 7083 | 71503 | 20 |
| 7084 | 71527 | 24 |
| 7085 | 71537 | 10 |
Questions
What is the 7082nd prime number?
71483.
Which prime number is 71483?
71483 is the 7082nd prime number.
What is the sum of the first 7082 primes?
239,291,965.