What is the 1642nd prime number?
The 1642nd prime number is 13901. The next prime is 13903 (a gap of 2) and the one before is 13883.
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 1642nd one is 13901.
- 2
13901 is prime because no prime up to ā13901 ā 117.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1642nd prime is close to 1642 Ć ln(1642) ā 12157, and here it is 13901.
- 4
13901 is a twin prime: 13901 and 13903 are both prime.
Primes around the 1642nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1639 | 13877 | 4 |
| 1640 | 13879 | 2 |
| 1641 | 13883 | 4 |
| 1642 | 13901 | 18 |
| 1643 | 13903 | 2 |
| 1644 | 13907 | 4 |
| 1645 | 13913 | 6 |
Questions
What is the 1642nd prime number?
13901.
Which prime number is 13901?
13901 is the 1642nd prime number.
What is the sum of the first 1642 primes?
10,675,157.