What is the 7183rd prime number?
The 7183rd prime number is 72647. The next prime is 72649 (a gap of 2) and the one before is 72643.
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 7183rd one is 72647.
- 2
72647 is prime because no prime up to ā72647 ā 269.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7183rd prime is close to 7183 Ć ln(7183) ā 63781, and here it is 72647.
- 4
72647 is a twin prime: 72647 and 72649 are both prime.
Primes around the 7183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7180 | 72617 | 4 |
| 7181 | 72623 | 6 |
| 7182 | 72643 | 20 |
| 7183 | 72647 | 4 |
| 7184 | 72649 | 2 |
| 7185 | 72661 | 12 |
| 7186 | 72671 | 10 |
Questions
What is the 7183rd prime number?
72647.
Which prime number is 72647?
72647 is the 7183rd prime number.
What is the sum of the first 7183 primes?
246,570,938.