What is the 1946th prime number?
The 1946th prime number is 16879. The next prime is 16883 (a gap of 4) and the one before is 16871.
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 1946th one is 16879.
- 2
16879 is prime because no prime up to ā16879 ā 129.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1946th prime is close to 1946 Ć ln(1946) ā 14738, and here it is 16879.
- 4
16879 has no twin: neither 16877 nor 16881 is prime.
Primes around the 1946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1943 | 16831 | 2 |
| 1944 | 16843 | 12 |
| 1945 | 16871 | 28 |
| 1946 | 16879 | 8 |
| 1947 | 16883 | 4 |
| 1948 | 16889 | 6 |
| 1949 | 16901 | 12 |
Questions
What is the 1946th prime number?
16879.
Which prime number is 16879?
16879 is the 1946th prime number.
What is the sum of the first 1946 primes?
15,349,471.