What is the 1637th prime number?
The 1637th prime number is 13859. The next prime is 13873 (a gap of 14) and the one before is 13841.
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 1637th one is 13859.
- 2
13859 is prime because no prime up to ā13859 ā 117.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1637th prime is close to 1637 Ć ln(1637) ā 12115, and here it is 13859.
- 4
13859 has no twin: neither 13857 nor 13861 is prime.
Primes around the 1637th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1634 | 13829 | 22 |
| 1635 | 13831 | 2 |
| 1636 | 13841 | 10 |
| 1637 | 13859 | 18 |
| 1638 | 13873 | 14 |
| 1639 | 13877 | 4 |
| 1640 | 13879 | 2 |
Questions
What is the 1637th prime number?
13859.
Which prime number is 13859?
13859 is the 1637th prime number.
What is the sum of the first 1637 primes?
10,605,744.