What is the 855th prime number?
The 855th prime number is 6619. The next prime is 6637 (a gap of 18) and the one before is 6607.
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 855th one is 6619.
- 2
6619 is prime because no prime up to ā6619 ā 81.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 855th prime is close to 855 Ć ln(855) ā 5772, and here it is 6619.
- 4
6619 has no twin: neither 6617 nor 6621 is prime.
Primes around the 855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 852 | 6581 | 4 |
| 853 | 6599 | 18 |
| 854 | 6607 | 8 |
| 855 | 6619 | 12 |
| 856 | 6637 | 18 |
| 857 | 6653 | 16 |
| 858 | 6659 | 6 |
Questions
What is the 855th prime number?
6619.
Which prime number is 6619?
6619 is the 855th prime number.
What is the sum of the first 855 primes?
2,628,524.