What is the 7696th prime number?
The 7696th prime number is 78427. The next prime is 78437 (a gap of 10) and the one before is 78401.
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 7696th one is 78427.
- 2
78427 is prime because no prime up to ā78427 ā 280.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7696th prime is close to 7696 Ć ln(7696) ā 68867, and here it is 78427.
- 4
78427 has no twin: neither 78425 nor 78429 is prime.
Primes around the 7696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7693 | 78347 | 6 |
| 7694 | 78367 | 20 |
| 7695 | 78401 | 34 |
| 7696 | 78427 | 26 |
| 7697 | 78437 | 10 |
| 7698 | 78439 | 2 |
| 7699 | 78467 | 28 |
Questions
What is the 7696th prime number?
78427.
Which prime number is 78427?
78427 is the 7696th prime number.
What is the sum of the first 7696 primes?
285,315,777.