What is the 842nd prime number?
The 842nd prime number is 6491. The next prime is 6521 (a gap of 30) and the one before is 6481.
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 842nd one is 6491.
- 2
6491 is prime because no prime up to ā6491 ā 80.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 842nd prime is close to 842 Ć ln(842) ā 5672, and here it is 6491.
- 4
6491 has no twin: neither 6489 nor 6493 is prime.
Primes around the 842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 839 | 6469 | 18 |
| 840 | 6473 | 4 |
| 841 | 6481 | 8 |
| 842 | 6491 | 10 |
| 843 | 6521 | 30 |
| 844 | 6529 | 8 |
| 845 | 6547 | 18 |
Questions
What is the 842nd prime number?
6491.
Which prime number is 6491?
6491 is the 842nd prime number.
What is the sum of the first 842 primes?
2,543,137.