What is the 1643rd prime number?
The 1643rd prime number is 13903. The next prime is 13907 (a gap of 4) and the one before is 13901.
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 1643rd one is 13903.
- 2
13903 is prime because no prime up to ā13903 ā 117.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1643rd prime is close to 1643 Ć ln(1643) ā 12165, and here it is 13903.
- 4
13903 is a twin prime: 13901 and 13903 are both prime.
Primes around the 1643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1640 | 13879 | 2 |
| 1641 | 13883 | 4 |
| 1642 | 13901 | 18 |
| 1643 | 13903 | 2 |
| 1644 | 13907 | 4 |
| 1645 | 13913 | 6 |
| 1646 | 13921 | 8 |
Questions
What is the 1643rd prime number?
13903.
Which prime number is 13903?
13903 is the 1643rd prime number.
What is the sum of the first 1643 primes?
10,689,060.