What is the 845th prime number?
The 845th prime number is 6547. The next prime is 6551 (a gap of 4) and the one before is 6529.
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 845th one is 6547.
- 2
6547 is prime because no prime up to ā6547 ā 80.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 845th prime is close to 845 Ć ln(845) ā 5695, and here it is 6547.
- 4
6547 has no twin: neither 6545 nor 6549 is prime.
Primes around the 845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 842 | 6491 | 10 |
| 843 | 6521 | 30 |
| 844 | 6529 | 8 |
| 845 | 6547 | 18 |
| 846 | 6551 | 4 |
| 847 | 6553 | 2 |
| 848 | 6563 | 10 |
Questions
What is the 845th prime number?
6547.
Which prime number is 6547?
6547 is the 845th prime number.
What is the sum of the first 845 primes?
2,562,734.