What is the 1952nd prime number?
The 1952nd prime number is 16927. The next prime is 16931 (a gap of 4) and the one before is 16921.
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 1952nd one is 16927.
- 2
16927 is prime because no prime up to ā16927 ā 130.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1952nd prime is close to 1952 Ć ln(1952) ā 14790, and here it is 16927.
- 4
16927 has no twin: neither 16925 nor 16929 is prime.
Primes around the 1952nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1949 | 16901 | 12 |
| 1950 | 16903 | 2 |
| 1951 | 16921 | 18 |
| 1952 | 16927 | 6 |
| 1953 | 16931 | 4 |
| 1954 | 16937 | 6 |
| 1955 | 16943 | 6 |
Questions
What is the 1952nd prime number?
16927.
Which prime number is 16927?
16927 is the 1952nd prime number.
What is the sum of the first 1952 primes?
15,450,895.