What is the 3043rd prime number?
The 3043rd prime number is 27883. The next prime is 27893 (a gap of 10) and the one before is 27851.
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 3043rd one is 27883.
- 2
27883 is prime because no prime up to ā27883 ā 166.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3043rd prime is close to 3043 Ć ln(3043) ā 24407, and here it is 27883.
- 4
27883 has no twin: neither 27881 nor 27885 is prime.
Primes around the 3043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3040 | 27827 | 4 |
| 3041 | 27847 | 20 |
| 3042 | 27851 | 4 |
| 3043 | 27883 | 32 |
| 3044 | 27893 | 10 |
| 3045 | 27901 | 8 |
| 3046 | 27917 | 16 |
Questions
What is the 3043rd prime number?
27883.
Which prime number is 27883?
27883 is the 3043rd prime number.
What is the sum of the first 3043 primes?
39,835,662.