What is the 1950th prime number?
The 1950th prime number is 16903. The next prime is 16921 (a gap of 18) and the one before is 16901.
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 1950th one is 16903.
- 2
16903 is prime because no prime up to ā16903 ā 130.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1950th prime is close to 1950 Ć ln(1950) ā 14772, and here it is 16903.
- 4
16903 is a twin prime: 16901 and 16903 are both prime.
Primes around the 1950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1947 | 16883 | 4 |
| 1948 | 16889 | 6 |
| 1949 | 16901 | 12 |
| 1950 | 16903 | 2 |
| 1951 | 16921 | 18 |
| 1952 | 16927 | 6 |
| 1953 | 16931 | 4 |
Questions
What is the 1950th prime number?
16903.
Which prime number is 16903?
16903 is the 1950th prime number.
What is the sum of the first 1950 primes?
15,417,047.