What is the 1953rd prime number?
The 1953rd prime number is 16931. The next prime is 16937 (a gap of 6) and the one before is 16927.
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 1953rd one is 16931.
- 2
16931 is prime because no prime up to ā16931 ā 130.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1953rd prime is close to 1953 Ć ln(1953) ā 14798, and here it is 16931.
- 4
16931 has no twin: neither 16929 nor 16933 is prime.
Primes around the 1953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1950 | 16903 | 2 |
| 1951 | 16921 | 18 |
| 1952 | 16927 | 6 |
| 1953 | 16931 | 4 |
| 1954 | 16937 | 6 |
| 1955 | 16943 | 6 |
| 1956 | 16963 | 20 |
Questions
What is the 1953rd prime number?
16931.
Which prime number is 16931?
16931 is the 1953rd prime number.
What is the sum of the first 1953 primes?
15,467,826.