What is the 6859th prime number?
The 6859th prime number is 69031. The next prime is 69061 (a gap of 30) and the one before is 69029.
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 6859th one is 69031.
- 2
69031 is prime because no prime up to ā69031 ā 262.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6859th prime is close to 6859 Ć ln(6859) ā 60588, and here it is 69031.
- 4
69031 is a twin prime: 69029 and 69031 are both prime.
Primes around the 6859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6856 | 69011 | 10 |
| 6857 | 69019 | 8 |
| 6858 | 69029 | 10 |
| 6859 | 69031 | 2 |
| 6860 | 69061 | 30 |
| 6861 | 69067 | 6 |
| 6862 | 69073 | 6 |
Questions
What is the 6859th prime number?
69031.
Which prime number is 69031?
69031 is the 6859th prime number.
What is the sum of the first 6859 primes?
223,607,438.