What is the 7958th prime number?
The 7958th prime number is 81331. The next prime is 81343 (a gap of 12) and the one before is 81307.
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 7958th one is 81331.
- 2
81331 is prime because no prime up to ā81331 ā 285.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7958th prime is close to 7958 Ć ln(7958) ā 71478, and here it is 81331.
- 4
81331 has no twin: neither 81329 nor 81333 is prime.
Primes around the 7958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7955 | 81293 | 10 |
| 7956 | 81299 | 6 |
| 7957 | 81307 | 8 |
| 7958 | 81331 | 24 |
| 7959 | 81343 | 12 |
| 7960 | 81349 | 6 |
| 7961 | 81353 | 4 |
Questions
What is the 7958th prime number?
81331.
Which prime number is 81331?
81331 is the 7958th prime number.
What is the sum of the first 7958 primes?
306,251,253.