What is the 3143rd prime number?
The 3143rd prime number is 28867. The next prime is 28871 (a gap of 4) and the one before is 28859.
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 3143rd one is 28867.
- 2
28867 is prime because no prime up to ā28867 ā 169.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3143rd prime is close to 3143 Ć ln(3143) ā 25310, and here it is 28867.
- 4
28867 has no twin: neither 28865 nor 28869 is prime.
Primes around the 3143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3140 | 28837 | 20 |
| 3141 | 28843 | 6 |
| 3142 | 28859 | 16 |
| 3143 | 28867 | 8 |
| 3144 | 28871 | 4 |
| 3145 | 28879 | 8 |
| 3146 | 28901 | 22 |
Questions
What is the 3143rd prime number?
28867.
Which prime number is 28867?
28867 is the 3143rd prime number.
What is the sum of the first 3143 primes?
42,675,260.