What is the 2051st prime number?
The 2051st prime number is 17903. The next prime is 17909 (a gap of 6) and the one before is 17891.
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 2051st one is 17903.
- 2
17903 is prime because no prime up to ā17903 ā 133.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2051st prime is close to 2051 Ć ln(2051) ā 15641, and here it is 17903.
- 4
17903 has no twin: neither 17901 nor 17905 is prime.
Primes around the 2051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2048 | 17863 | 12 |
| 2049 | 17881 | 18 |
| 2050 | 17891 | 10 |
| 2051 | 17903 | 12 |
| 2052 | 17909 | 6 |
| 2053 | 17911 | 2 |
| 2054 | 17921 | 10 |
Questions
What is the 2051st prime number?
17903.
Which prime number is 17903?
17903 is the 2051st prime number.
What is the sum of the first 2051 primes?
17,173,984.