What is the 2043rd prime number?
The 2043rd prime number is 17807. The next prime is 17827 (a gap of 20) and the one before is 17791.
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 2043rd one is 17807.
- 2
17807 is prime because no prime up to ā17807 ā 133.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2043rd prime is close to 2043 Ć ln(2043) ā 15572, and here it is 17807.
- 4
17807 has no twin: neither 17805 nor 17809 is prime.
Primes around the 2043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2040 | 17783 | 22 |
| 2041 | 17789 | 6 |
| 2042 | 17791 | 2 |
| 2043 | 17807 | 16 |
| 2044 | 17827 | 20 |
| 2045 | 17837 | 10 |
| 2046 | 17839 | 2 |
Questions
What is the 2043rd prime number?
17807.
Which prime number is 17807?
17807 is the 2043rd prime number.
What is the sum of the first 2043 primes?
17,031,092.