What is the 1921st prime number?
The 1921st prime number is 16607. The next prime is 16619 (a gap of 12) and the one before is 16603.
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 1921st one is 16607.
- 2
16607 is prime because no prime up to ā16607 ā 128.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1921st prime is close to 1921 Ć ln(1921) ā 14524, and here it is 16607.
- 4
16607 has no twin: neither 16605 nor 16609 is prime.
Primes around the 1921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1918 | 16567 | 6 |
| 1919 | 16573 | 6 |
| 1920 | 16603 | 30 |
| 1921 | 16607 | 4 |
| 1922 | 16619 | 12 |
| 1923 | 16631 | 12 |
| 1924 | 16633 | 2 |
Questions
What is the 1921st prime number?
16607.
Which prime number is 16607?
16607 is the 1921st prime number.
What is the sum of the first 1921 primes?
14,931,098.