What is the 1945th prime number?
The 1945th prime number is 16871. The next prime is 16879 (a gap of 8) and the one before is 16843.
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 1945th one is 16871.
- 2
16871 is prime because no prime up to ā16871 ā 129.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1945th prime is close to 1945 Ć ln(1945) ā 14730, and here it is 16871.
- 4
16871 has no twin: neither 16869 nor 16873 is prime.
Primes around the 1945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1942 | 16829 | 6 |
| 1943 | 16831 | 2 |
| 1944 | 16843 | 12 |
| 1945 | 16871 | 28 |
| 1946 | 16879 | 8 |
| 1947 | 16883 | 4 |
| 1948 | 16889 | 6 |
Questions
What is the 1945th prime number?
16871.
Which prime number is 16871?
16871 is the 1945th prime number.
What is the sum of the first 1945 primes?
15,332,592.