What is the 2042nd prime number?
The 2042nd prime number is 17791. The next prime is 17807 (a gap of 16) and the one before is 17789.
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 2042nd one is 17791.
- 2
17791 is prime because no prime up to ā17791 ā 133.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2042nd prime is close to 2042 Ć ln(2042) ā 15563, and here it is 17791.
- 4
17791 is a twin prime: 17789 and 17791 are both prime.
Primes around the 2042nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2039 | 17761 | 12 |
| 2040 | 17783 | 22 |
| 2041 | 17789 | 6 |
| 2042 | 17791 | 2 |
| 2043 | 17807 | 16 |
| 2044 | 17827 | 20 |
| 2045 | 17837 | 10 |
Questions
What is the 2042nd prime number?
17791.
Which prime number is 17791?
17791 is the 2042nd prime number.
What is the sum of the first 2042 primes?
17,013,285.