What is the 7830th prime number?
The 7830th prime number is 79939. The next prime is 79943 (a gap of 4) and the one before is 79907.
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 7830th one is 79939.
- 2
79939 is prime because no prime up to ā79939 ā 282.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7830th prime is close to 7830 Ć ln(7830) ā 70202, and here it is 79939.
- 4
79939 has no twin: neither 79937 nor 79941 is prime.
Primes around the 7830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7827 | 79901 | 12 |
| 7828 | 79903 | 2 |
| 7829 | 79907 | 4 |
| 7830 | 79939 | 32 |
| 7831 | 79943 | 4 |
| 7832 | 79967 | 24 |
| 7833 | 79973 | 6 |
Questions
What is the 7830th prime number?
79939.
Which prime number is 79939?
79939 is the 7830th prime number.
What is the sum of the first 7830 primes?
295,928,363.