What is the 1949th prime number?
The 1949th prime number is 16901. The next prime is 16903 (a gap of 2) and the one before is 16889.
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 1949th one is 16901.
- 2
16901 is prime because no prime up to ā16901 ā 130.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1949th prime is close to 1949 Ć ln(1949) ā 14764, and here it is 16901.
- 4
16901 is a twin prime: 16901 and 16903 are both prime.
Primes around the 1949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1946 | 16879 | 8 |
| 1947 | 16883 | 4 |
| 1948 | 16889 | 6 |
| 1949 | 16901 | 12 |
| 1950 | 16903 | 2 |
| 1951 | 16921 | 18 |
| 1952 | 16927 | 6 |
Questions
What is the 1949th prime number?
16901.
Which prime number is 16901?
16901 is the 1949th prime number.
What is the sum of the first 1949 primes?
15,400,144.