What is the 1927th prime number?
The 1927th prime number is 16657. The next prime is 16661 (a gap of 4) and the one before is 16651.
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 1927th one is 16657.
- 2
16657 is prime because no prime up to ā16657 ā 129.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1927th prime is close to 1927 Ć ln(1927) ā 14575, and here it is 16657.
- 4
16657 has no twin: neither 16655 nor 16659 is prime.
Primes around the 1927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1924 | 16633 | 2 |
| 1925 | 16649 | 16 |
| 1926 | 16651 | 2 |
| 1927 | 16657 | 6 |
| 1928 | 16661 | 4 |
| 1929 | 16673 | 12 |
| 1930 | 16691 | 18 |
Questions
What is the 1927th prime number?
16657.
Which prime number is 16657?
16657 is the 1927th prime number.
What is the sum of the first 1927 primes?
15,030,938.