What is the 844th prime number?
The 844th prime number is 6529. The next prime is 6547 (a gap of 18) and the one before is 6521.
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 844th one is 6529.
- 2
6529 is prime because no prime up to ā6529 ā 80.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 844th prime is close to 844 Ć ln(844) ā 5687, and here it is 6529.
- 4
6529 has no twin: neither 6527 nor 6531 is prime.
Primes around the 844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 841 | 6481 | 8 |
| 842 | 6491 | 10 |
| 843 | 6521 | 30 |
| 844 | 6529 | 8 |
| 845 | 6547 | 18 |
| 846 | 6551 | 4 |
| 847 | 6553 | 2 |
Questions
What is the 844th prime number?
6529.
Which prime number is 6529?
6529 is the 844th prime number.
What is the sum of the first 844 primes?
2,556,187.