What is the 2039th prime number?
The 2039th prime number is 17761. The next prime is 17783 (a gap of 22) and the one before is 17749.
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 2039th one is 17761.
- 2
17761 is prime because no prime up to ā17761 ā 133.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2039th prime is close to 2039 Ć ln(2039) ā 15538, and here it is 17761.
- 4
17761 has no twin: neither 17759 nor 17763 is prime.
Primes around the 2039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2036 | 17737 | 8 |
| 2037 | 17747 | 10 |
| 2038 | 17749 | 2 |
| 2039 | 17761 | 12 |
| 2040 | 17783 | 22 |
| 2041 | 17789 | 6 |
| 2042 | 17791 | 2 |
Questions
What is the 2039th prime number?
17761.
Which prime number is 17761?
17761 is the 2039th prime number.
What is the sum of the first 2039 primes?
16,959,922.