What is the 2050th prime number?
The 2050th prime number is 17891. The next prime is 17903 (a gap of 12) and the one before is 17881.
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 2050th one is 17891.
- 2
17891 is prime because no prime up to ā17891 ā 133.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2050th prime is close to 2050 Ć ln(2050) ā 15632, and here it is 17891.
- 4
17891 has no twin: neither 17889 nor 17893 is prime.
Primes around the 2050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2047 | 17851 | 12 |
| 2048 | 17863 | 12 |
| 2049 | 17881 | 18 |
| 2050 | 17891 | 10 |
| 2051 | 17903 | 12 |
| 2052 | 17909 | 6 |
| 2053 | 17911 | 2 |
Questions
What is the 2050th prime number?
17891.
Which prime number is 17891?
17891 is the 2050th prime number.
What is the sum of the first 2050 primes?
17,156,081.