What is the 6855th prime number?
The 6855th prime number is 69001. The next prime is 69011 (a gap of 10) and the one before is 68993.
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 6855th one is 69001.
- 2
69001 is prime because no prime up to ā69001 ā 262.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6855th prime is close to 6855 Ć ln(6855) ā 60548, and here it is 69001.
- 4
69001 has no twin: neither 68999 nor 69003 is prime.
Primes around the 6855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6852 | 68947 | 20 |
| 6853 | 68963 | 16 |
| 6854 | 68993 | 30 |
| 6855 | 69001 | 8 |
| 6856 | 69011 | 10 |
| 6857 | 69019 | 8 |
| 6858 | 69029 | 10 |
Questions
What is the 6855th prime number?
69001.
Which prime number is 69001?
69001 is the 6855th prime number.
What is the sum of the first 6855 primes?
223,331,348.