What is the 2041st prime number?
The 2041st prime number is 17789. The next prime is 17791 (a gap of 2) and the one before is 17783.
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 2041st one is 17789.
- 2
17789 is prime because no prime up to ā17789 ā 133.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2041st prime is close to 2041 Ć ln(2041) ā 15555, and here it is 17789.
- 4
17789 is a twin prime: 17789 and 17791 are both prime.
Primes around the 2041st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2038 | 17749 | 2 |
| 2039 | 17761 | 12 |
| 2040 | 17783 | 22 |
| 2041 | 17789 | 6 |
| 2042 | 17791 | 2 |
| 2043 | 17807 | 16 |
| 2044 | 17827 | 20 |
Questions
What is the 2041st prime number?
17789.
Which prime number is 17789?
17789 is the 2041st prime number.
What is the sum of the first 2041 primes?
16,995,494.