What is the 7856th prime number?
The 7856th prime number is 80231. The next prime is 80233 (a gap of 2) and the one before is 80221.
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 7856th one is 80231.
- 2
80231 is prime because no prime up to ā80231 ā 283.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7856th prime is close to 7856 Ć ln(7856) ā 70461, and here it is 80231.
- 4
80231 is a twin prime: 80231 and 80233 are both prime.
Primes around the 7856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7853 | 80207 | 16 |
| 7854 | 80209 | 2 |
| 7855 | 80221 | 12 |
| 7856 | 80231 | 10 |
| 7857 | 80233 | 2 |
| 7858 | 80239 | 6 |
| 7859 | 80251 | 12 |
Questions
What is the 7856th prime number?
80231.
Which prime number is 80231?
80231 is the 7856th prime number.
What is the sum of the first 7856 primes?
298,010,851.