What is the 7913th prime number?
The 7913th prime number is 80833. The next prime is 80849 (a gap of 16) and the one before is 80831.
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 7913th one is 80833.
- 2
80833 is prime because no prime up to ā80833 ā 284.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7913th prime is close to 7913 Ć ln(7913) ā 71029, and here it is 80833.
- 4
80833 is a twin prime: 80831 and 80833 are both prime.
Primes around the 7913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7910 | 80809 | 6 |
| 7911 | 80819 | 10 |
| 7912 | 80831 | 12 |
| 7913 | 80833 | 2 |
| 7914 | 80849 | 16 |
| 7915 | 80863 | 14 |
| 7916 | 80897 | 34 |
Questions
What is the 7913th prime number?
80833.
Which prime number is 80833?
80833 is the 7913th prime number.
What is the sum of the first 7913 primes?
302,602,492.