What is the 854th prime number?
The 854th prime number is 6607. The next prime is 6619 (a gap of 12) and the one before is 6599.
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 854th one is 6607.
- 2
6607 is prime because no prime up to ā6607 ā 81.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 854th prime is close to 854 Ć ln(854) ā 5764, and here it is 6607.
- 4
6607 has no twin: neither 6605 nor 6609 is prime.
Primes around the 854th
| Position | Prime | Gap from the previous |
|---|---|---|
| 851 | 6577 | 6 |
| 852 | 6581 | 4 |
| 853 | 6599 | 18 |
| 854 | 6607 | 8 |
| 855 | 6619 | 12 |
| 856 | 6637 | 18 |
| 857 | 6653 | 16 |
Questions
What is the 854th prime number?
6607.
Which prime number is 6607?
6607 is the 854th prime number.
What is the sum of the first 854 primes?
2,621,905.