What is the 7959th prime number?
The 7959th prime number is 81343. The next prime is 81349 (a gap of 6) and the one before is 81331.
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 7959th one is 81343.
- 2
81343 is prime because no prime up to ā81343 ā 285.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7959th prime is close to 7959 Ć ln(7959) ā 71488, and here it is 81343.
- 4
81343 has no twin: neither 81341 nor 81345 is prime.
Primes around the 7959th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7956 | 81299 | 6 |
| 7957 | 81307 | 8 |
| 7958 | 81331 | 24 |
| 7959 | 81343 | 12 |
| 7960 | 81349 | 6 |
| 7961 | 81353 | 4 |
| 7962 | 81359 | 6 |
Questions
What is the 7959th prime number?
81343.
Which prime number is 81343?
81343 is the 7959th prime number.
What is the sum of the first 7959 primes?
306,332,596.