What is the 843rd prime number?
The 843rd prime number is 6521. The next prime is 6529 (a gap of 8) and the one before is 6491.
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 843rd one is 6521.
- 2
6521 is prime because no prime up to ā6521 ā 80.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 843rd prime is close to 843 Ć ln(843) ā 5679, and here it is 6521.
- 4
6521 has no twin: neither 6519 nor 6523 is prime.
Primes around the 843rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 840 | 6473 | 4 |
| 841 | 6481 | 8 |
| 842 | 6491 | 10 |
| 843 | 6521 | 30 |
| 844 | 6529 | 8 |
| 845 | 6547 | 18 |
| 846 | 6551 | 4 |
Questions
What is the 843rd prime number?
6521.
Which prime number is 6521?
6521 is the 843rd prime number.
What is the sum of the first 843 primes?
2,549,658.