What is the 7857th prime number?
The 7857th prime number is 80233. The next prime is 80239 (a gap of 6) and the one before is 80231.
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 7857th one is 80233.
- 2
80233 is prime because no prime up to ā80233 ā 283.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7857th prime is close to 7857 Ć ln(7857) ā 70471, and here it is 80233.
- 4
80233 is a twin prime: 80231 and 80233 are both prime.
Primes around the 7857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7854 | 80209 | 2 |
| 7855 | 80221 | 12 |
| 7856 | 80231 | 10 |
| 7857 | 80233 | 2 |
| 7858 | 80239 | 6 |
| 7859 | 80251 | 12 |
| 7860 | 80263 | 12 |
Questions
What is the 7857th prime number?
80233.
Which prime number is 80233?
80233 is the 7857th prime number.
What is the sum of the first 7857 primes?
298,091,084.