What is the 7483rd prime number?
The 7483rd prime number is 75991. The next prime is 75997 (a gap of 6) and the one before is 75989.
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 7483rd one is 75991.
- 2
75991 is prime because no prime up to ā75991 ā 275.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7483rd prime is close to 7483 Ć ln(7483) ā 66751, and here it is 75991.
- 4
75991 is a twin prime: 75989 and 75991 are both prime.
Primes around the 7483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7480 | 75979 | 12 |
| 7481 | 75983 | 4 |
| 7482 | 75989 | 6 |
| 7483 | 75991 | 2 |
| 7484 | 75997 | 6 |
| 7485 | 76001 | 4 |
| 7486 | 76003 | 2 |
Questions
What is the 7483rd prime number?
75991.
Which prime number is 75991?
75991 is the 7483rd prime number.
What is the sum of the first 7483 primes?
268,869,064.