What is the 1650th prime number?
The 1650th prime number is 13967. The next prime is 13997 (a gap of 30) and the one before is 13963.
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 1650th one is 13967.
- 2
13967 is prime because no prime up to ā13967 ā 118.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1650th prime is close to 1650 Ć ln(1650) ā 12224, and here it is 13967.
- 4
13967 has no twin: neither 13965 nor 13969 is prime.
Primes around the 1650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1647 | 13931 | 10 |
| 1648 | 13933 | 2 |
| 1649 | 13963 | 30 |
| 1650 | 13967 | 4 |
| 1651 | 13997 | 30 |
| 1652 | 13999 | 2 |
| 1653 | 14009 | 10 |
Questions
What is the 1650th prime number?
13967.
Which prime number is 13967?
13967 is the 1650th prime number.
What is the sum of the first 1650 primes?
10,786,595.