What is the 7486th prime number?
The 7486th prime number is 76003. The next prime is 76031 (a gap of 28) and the one before is 76001.
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 7486th one is 76003.
- 2
76003 is prime because no prime up to ā76003 ā 275.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7486th prime is close to 7486 Ć ln(7486) ā 66781, and here it is 76003.
- 4
76003 is a twin prime: 76001 and 76003 are both prime.
Primes around the 7486th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7483 | 75991 | 2 |
| 7484 | 75997 | 6 |
| 7485 | 76001 | 4 |
| 7486 | 76003 | 2 |
| 7487 | 76031 | 28 |
| 7488 | 76039 | 8 |
| 7489 | 76079 | 40 |
Questions
What is the 7486th prime number?
76003.
Which prime number is 76003?
76003 is the 7486th prime number.
What is the sum of the first 7486 primes?
269,097,065.