What is the 7182nd prime number?
The 7182nd prime number is 72643. The next prime is 72647 (a gap of 4) and the one before is 72623.
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 7182nd one is 72643.
- 2
72643 is prime because no prime up to ā72643 ā 269.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7182nd prime is close to 7182 Ć ln(7182) ā 63771, and here it is 72643.
- 4
72643 has no twin: neither 72641 nor 72645 is prime.
Primes around the 7182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7179 | 72613 | 36 |
| 7180 | 72617 | 4 |
| 7181 | 72623 | 6 |
| 7182 | 72643 | 20 |
| 7183 | 72647 | 4 |
| 7184 | 72649 | 2 |
| 7185 | 72661 | 12 |
Questions
What is the 7182nd prime number?
72643.
Which prime number is 72643?
72643 is the 7182nd prime number.
What is the sum of the first 7182 primes?
246,498,291.