What is the 1636th prime number?
The 1636th prime number is 13841. The next prime is 13859 (a gap of 18) and the one before is 13831.
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 1636th one is 13841.
- 2
13841 is prime because no prime up to ā13841 ā 117.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1636th prime is close to 1636 Ć ln(1636) ā 12106, and here it is 13841.
- 4
13841 has no twin: neither 13839 nor 13843 is prime.
Primes around the 1636th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1633 | 13807 | 8 |
| 1634 | 13829 | 22 |
| 1635 | 13831 | 2 |
| 1636 | 13841 | 10 |
| 1637 | 13859 | 18 |
| 1638 | 13873 | 14 |
| 1639 | 13877 | 4 |
Questions
What is the 1636th prime number?
13841.
Which prime number is 13841?
13841 is the 1636th prime number.
What is the sum of the first 1636 primes?
10,591,885.