What is the 7143rd prime number?
The 7143rd prime number is 72167. The next prime is 72169 (a gap of 2) and the one before is 72161.
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 7143rd one is 72167.
- 2
72167 is prime because no prime up to ā72167 ā 268.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7143rd prime is close to 7143 Ć ln(7143) ā 63386, and here it is 72167.
- 4
72167 is a twin prime: 72167 and 72169 are both prime.
Primes around the 7143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7140 | 72109 | 6 |
| 7141 | 72139 | 30 |
| 7142 | 72161 | 22 |
| 7143 | 72167 | 6 |
| 7144 | 72169 | 2 |
| 7145 | 72173 | 4 |
| 7146 | 72211 | 38 |
Questions
What is the 7143rd prime number?
72167.
Which prime number is 72167?
72167 is the 7143rd prime number.
What is the sum of the first 7143 primes?
243,674,964.