What is the 2045th prime number?
The 2045th prime number is 17837. The next prime is 17839 (a gap of 2) and the one before is 17827.
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 2045th one is 17837.
- 2
17837 is prime because no prime up to ā17837 ā 133.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2045th prime is close to 2045 Ć ln(2045) ā 15589, and here it is 17837.
- 4
17837 is a twin prime: 17837 and 17839 are both prime.
Primes around the 2045th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2042 | 17791 | 2 |
| 2043 | 17807 | 16 |
| 2044 | 17827 | 20 |
| 2045 | 17837 | 10 |
| 2046 | 17839 | 2 |
| 2047 | 17851 | 12 |
| 2048 | 17863 | 12 |
Questions
What is the 2045th prime number?
17837.
Which prime number is 17837?
17837 is the 2045th prime number.
What is the sum of the first 2045 primes?
17,066,756.