What is the 7801st prime number?
The 7801st prime number is 79627. The next prime is 79631 (a gap of 4) and the one before is 79621.
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 7801st one is 79627.
- 2
79627 is prime because no prime up to ā79627 ā 282.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7801st prime is close to 7801 Ć ln(7801) ā 69913, and here it is 79627.
- 4
79627 has no twin: neither 79625 nor 79629 is prime.
Primes around the 7801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7798 | 79609 | 8 |
| 7799 | 79613 | 4 |
| 7800 | 79621 | 8 |
| 7801 | 79627 | 6 |
| 7802 | 79631 | 4 |
| 7803 | 79633 | 2 |
| 7804 | 79657 | 24 |
Questions
What is the 7801st prime number?
79627.
Which prime number is 79627?
79627 is the 7801st prime number.
What is the sum of the first 7801 primes?
293,614,438.