What is the 7482nd prime number?
The 7482nd prime number is 75989. The next prime is 75991 (a gap of 2) and the one before is 75983.
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 7482nd one is 75989.
- 2
75989 is prime because no prime up to ā75989 ā 275.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7482nd prime is close to 7482 Ć ln(7482) ā 66741, and here it is 75989.
- 4
75989 is a twin prime: 75989 and 75991 are both prime.
Primes around the 7482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7479 | 75967 | 26 |
| 7480 | 75979 | 12 |
| 7481 | 75983 | 4 |
| 7482 | 75989 | 6 |
| 7483 | 75991 | 2 |
| 7484 | 75997 | 6 |
| 7485 | 76001 | 4 |
Questions
What is the 7482nd prime number?
75989.
Which prime number is 75989?
75989 is the 7482nd prime number.
What is the sum of the first 7482 primes?
268,793,073.