What is the 1641st prime number?
The 1641st prime number is 13883. The next prime is 13901 (a gap of 18) and the one before is 13879.
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 1641st one is 13883.
- 2
13883 is prime because no prime up to ā13883 ā 117.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1641st prime is close to 1641 Ć ln(1641) ā 12148, and here it is 13883.
- 4
13883 has no twin: neither 13881 nor 13885 is prime.
Primes around the 1641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1638 | 13873 | 14 |
| 1639 | 13877 | 4 |
| 1640 | 13879 | 2 |
| 1641 | 13883 | 4 |
| 1642 | 13901 | 18 |
| 1643 | 13903 | 2 |
| 1644 | 13907 | 4 |
Questions
What is the 1641st prime number?
13883.
Which prime number is 13883?
13883 is the 1641st prime number.
What is the sum of the first 1641 primes?
10,661,256.