What is the 7800th prime number?
The 7800th prime number is 79621. The next prime is 79627 (a gap of 6) and the one before is 79613.
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 7800th one is 79621.
- 2
79621 is prime because no prime up to ā79621 ā 282.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7800th prime is close to 7800 Ć ln(7800) ā 69903, and here it is 79621.
- 4
79621 has no twin: neither 79619 nor 79623 is prime.
Primes around the 7800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7797 | 79601 | 12 |
| 7798 | 79609 | 8 |
| 7799 | 79613 | 4 |
| 7800 | 79621 | 8 |
| 7801 | 79627 | 6 |
| 7802 | 79631 | 4 |
| 7803 | 79633 | 2 |
Questions
What is the 7800th prime number?
79621.
Which prime number is 79621?
79621 is the 7800th prime number.
What is the sum of the first 7800 primes?
293,534,811.