What is the 1947th prime number?
The 1947th prime number is 16883. The next prime is 16889 (a gap of 6) and the one before is 16879.
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 1947th one is 16883.
- 2
16883 is prime because no prime up to ā16883 ā 129.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1947th prime is close to 1947 Ć ln(1947) ā 14747, and here it is 16883.
- 4
16883 has no twin: neither 16881 nor 16885 is prime.
Primes around the 1947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1944 | 16843 | 12 |
| 1945 | 16871 | 28 |
| 1946 | 16879 | 8 |
| 1947 | 16883 | 4 |
| 1948 | 16889 | 6 |
| 1949 | 16901 | 12 |
| 1950 | 16903 | 2 |
Questions
What is the 1947th prime number?
16883.
Which prime number is 16883?
16883 is the 1947th prime number.
What is the sum of the first 1947 primes?
15,366,354.