What is the 143rd prime number?
The 143rd prime number is 823. The next prime is 827 (a gap of 4) and the one before is 821.
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 143rd one is 823.
- 2
823 is prime because no prime up to ā823 ā 28.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 143rd prime is close to 143 Ć ln(143) ā 710, and here it is 823.
- 4
823 is a twin prime: 821 and 823 are both prime.
Primes around the 143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 140 | 809 | 12 |
| 141 | 811 | 2 |
| 142 | 821 | 10 |
| 143 | 823 | 2 |
| 144 | 827 | 4 |
| 145 | 829 | 2 |
| 146 | 839 | 10 |
Questions
What is the 143rd prime number?
823.
Which prime number is 823?
823 is the 143rd prime number.
What is the sum of the first 143 primes?
53,342.