What is the 7485th prime number?
The 7485th prime number is 76001. The next prime is 76003 (a gap of 2) and the one before is 75997.
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 7485th one is 76001.
- 2
76001 is prime because no prime up to ā76001 ā 275.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7485th prime is close to 7485 Ć ln(7485) ā 66771, and here it is 76001.
- 4
76001 is a twin prime: 76001 and 76003 are both prime.
Primes around the 7485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7482 | 75989 | 6 |
| 7483 | 75991 | 2 |
| 7484 | 75997 | 6 |
| 7485 | 76001 | 4 |
| 7486 | 76003 | 2 |
| 7487 | 76031 | 28 |
| 7488 | 76039 | 8 |
Questions
What is the 7485th prime number?
76001.
Which prime number is 76001?
76001 is the 7485th prime number.
What is the sum of the first 7485 primes?
269,021,062.