What is the 1948th prime number?
The 1948th prime number is 16889. The next prime is 16901 (a gap of 12) and the one before is 16883.
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 1948th one is 16889.
- 2
16889 is prime because no prime up to ā16889 ā 129.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1948th prime is close to 1948 Ć ln(1948) ā 14755, and here it is 16889.
- 4
16889 has no twin: neither 16887 nor 16891 is prime.
Primes around the 1948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1945 | 16871 | 28 |
| 1946 | 16879 | 8 |
| 1947 | 16883 | 4 |
| 1948 | 16889 | 6 |
| 1949 | 16901 | 12 |
| 1950 | 16903 | 2 |
| 1951 | 16921 | 18 |
Questions
What is the 1948th prime number?
16889.
Which prime number is 16889?
16889 is the 1948th prime number.
What is the sum of the first 1948 primes?
15,383,243.