What is the 7484th prime number?
The 7484th prime number is 75997. The next prime is 76001 (a gap of 4) and the one before is 75991.
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 7484th one is 75997.
- 2
75997 is prime because no prime up to ā75997 ā 275.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7484th prime is close to 7484 Ć ln(7484) ā 66761, and here it is 75997.
- 4
75997 has no twin: neither 75995 nor 75999 is prime.
Primes around the 7484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7481 | 75983 | 4 |
| 7482 | 75989 | 6 |
| 7483 | 75991 | 2 |
| 7484 | 75997 | 6 |
| 7485 | 76001 | 4 |
| 7486 | 76003 | 2 |
| 7487 | 76031 | 28 |
Questions
What is the 7484th prime number?
75997.
Which prime number is 75997?
75997 is the 7484th prime number.
What is the sum of the first 7484 primes?
268,945,061.