What is the 840th prime number?
The 840th prime number is 6473. The next prime is 6481 (a gap of 8) and the one before is 6469.
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 840th one is 6473.
- 2
6473 is prime because no prime up to ā6473 ā 80.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 840th prime is close to 840 Ć ln(840) ā 5656, and here it is 6473.
- 4
6473 has no twin: neither 6471 nor 6475 is prime.
Primes around the 840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 837 | 6449 | 22 |
| 838 | 6451 | 2 |
| 839 | 6469 | 18 |
| 840 | 6473 | 4 |
| 841 | 6481 | 8 |
| 842 | 6491 | 10 |
| 843 | 6521 | 30 |
Questions
What is the 840th prime number?
6473.
Which prime number is 6473?
6473 is the 840th prime number.
What is the sum of the first 840 primes?
2,530,165.