What is the 1954th prime number?
The 1954th prime number is 16937. The next prime is 16943 (a gap of 6) and the one before is 16931.
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 1954th one is 16937.
- 2
16937 is prime because no prime up to ā16937 ā 130.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1954th prime is close to 1954 Ć ln(1954) ā 14807, and here it is 16937.
- 4
16937 has no twin: neither 16935 nor 16939 is prime.
Primes around the 1954th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1951 | 16921 | 18 |
| 1952 | 16927 | 6 |
| 1953 | 16931 | 4 |
| 1954 | 16937 | 6 |
| 1955 | 16943 | 6 |
| 1956 | 16963 | 20 |
| 1957 | 16979 | 16 |
Questions
What is the 1954th prime number?
16937.
Which prime number is 16937?
16937 is the 1954th prime number.
What is the sum of the first 1954 primes?
15,484,763.