What is the 1955th prime number?
The 1955th prime number is 16943. The next prime is 16963 (a gap of 20) and the one before is 16937.
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 1955th one is 16943.
- 2
16943 is prime because no prime up to ā16943 ā 130.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1955th prime is close to 1955 Ć ln(1955) ā 14815, and here it is 16943.
- 4
16943 has no twin: neither 16941 nor 16945 is prime.
Primes around the 1955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1952 | 16927 | 6 |
| 1953 | 16931 | 4 |
| 1954 | 16937 | 6 |
| 1955 | 16943 | 6 |
| 1956 | 16963 | 20 |
| 1957 | 16979 | 16 |
| 1958 | 16981 | 2 |
Questions
What is the 1955th prime number?
16943.
Which prime number is 16943?
16943 is the 1955th prime number.
What is the sum of the first 1955 primes?
15,501,706.