What is the 7917th prime number?
The 7917th prime number is 80909. The next prime is 80911 (a gap of 2) and the one before is 80897.
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 7917th one is 80909.
- 2
80909 is prime because no prime up to ā80909 ā 284.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7917th prime is close to 7917 Ć ln(7917) ā 71069, and here it is 80909.
- 4
80909 is a twin prime: 80909 and 80911 are both prime.
Primes around the 7917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7914 | 80849 | 16 |
| 7915 | 80863 | 14 |
| 7916 | 80897 | 34 |
| 7917 | 80909 | 12 |
| 7918 | 80911 | 2 |
| 7919 | 80917 | 6 |
| 7920 | 80923 | 6 |
Questions
What is the 7917th prime number?
80909.
Which prime number is 80909?
80909 is the 7917th prime number.
What is the sum of the first 7917 primes?
302,926,010.