What is the 841st prime number?
The 841st prime number is 6481. The next prime is 6491 (a gap of 10) and the one before is 6473.
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 841st one is 6481.
- 2
6481 is prime because no prime up to ā6481 ā 80.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 841st prime is close to 841 Ć ln(841) ā 5664, and here it is 6481.
- 4
6481 has no twin: neither 6479 nor 6483 is prime.
Primes around the 841st
| Position | Prime | Gap from the previous |
|---|---|---|
| 838 | 6451 | 2 |
| 839 | 6469 | 18 |
| 840 | 6473 | 4 |
| 841 | 6481 | 8 |
| 842 | 6491 | 10 |
| 843 | 6521 | 30 |
| 844 | 6529 | 8 |
Questions
What is the 841st prime number?
6481.
Which prime number is 6481?
6481 is the 841st prime number.
What is the sum of the first 841 primes?
2,536,646.