What is the 7916th prime number?
The 7916th prime number is 80897. The next prime is 80909 (a gap of 12) and the one before is 80863.
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 7916th one is 80897.
- 2
80897 is prime because no prime up to ā80897 ā 284.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7916th prime is close to 7916 Ć ln(7916) ā 71059, and here it is 80897.
- 4
80897 has no twin: neither 80895 nor 80899 is prime.
Primes around the 7916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7913 | 80833 | 2 |
| 7914 | 80849 | 16 |
| 7915 | 80863 | 14 |
| 7916 | 80897 | 34 |
| 7917 | 80909 | 12 |
| 7918 | 80911 | 2 |
| 7919 | 80917 | 6 |
Questions
What is the 7916th prime number?
80897.
Which prime number is 80897?
80897 is the 7916th prime number.
What is the sum of the first 7916 primes?
302,845,101.