What is the 7043rd prime number?
The 7043rd prime number is 71143. The next prime is 71147 (a gap of 4) and the one before is 71129.
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 7043rd one is 71143.
- 2
71143 is prime because no prime up to ā71143 ā 266.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7043rd prime is close to 7043 Ć ln(7043) ā 62399, and here it is 71143.
- 4
71143 has no twin: neither 71141 nor 71145 is prime.
Primes around the 7043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7040 | 71089 | 8 |
| 7041 | 71119 | 30 |
| 7042 | 71129 | 10 |
| 7043 | 71143 | 14 |
| 7044 | 71147 | 4 |
| 7045 | 71153 | 6 |
| 7046 | 71161 | 8 |
Questions
What is the 7043rd prime number?
71143.
Which prime number is 71143?
71143 is the 7043rd prime number.
What is the sum of the first 7043 primes?
236,510,192.