What is the 1928th prime number?
The 1928th prime number is 16661. The next prime is 16673 (a gap of 12) and the one before is 16657.
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 1928th one is 16661.
- 2
16661 is prime because no prime up to ā16661 ā 129.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1928th prime is close to 1928 Ć ln(1928) ā 14584, and here it is 16661.
- 4
16661 has no twin: neither 16659 nor 16663 is prime.
Primes around the 1928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1925 | 16649 | 16 |
| 1926 | 16651 | 2 |
| 1927 | 16657 | 6 |
| 1928 | 16661 | 4 |
| 1929 | 16673 | 12 |
| 1930 | 16691 | 18 |
| 1931 | 16693 | 2 |
Questions
What is the 1928th prime number?
16661.
Which prime number is 16661?
16661 is the 1928th prime number.
What is the sum of the first 1928 primes?
15,047,599.