What is the 1929th prime number?
The 1929th prime number is 16673. The next prime is 16691 (a gap of 18) and the one before is 16661.
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 1929th one is 16673.
- 2
16673 is prime because no prime up to ā16673 ā 129.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1929th prime is close to 1929 Ć ln(1929) ā 14592, and here it is 16673.
- 4
16673 has no twin: neither 16671 nor 16675 is prime.
Primes around the 1929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1926 | 16651 | 2 |
| 1927 | 16657 | 6 |
| 1928 | 16661 | 4 |
| 1929 | 16673 | 12 |
| 1930 | 16691 | 18 |
| 1931 | 16693 | 2 |
| 1932 | 16699 | 6 |
Questions
What is the 1929th prime number?
16673.
Which prime number is 16673?
16673 is the 1929th prime number.
What is the sum of the first 1929 primes?
15,064,272.