What is the 7489th prime number?
The 7489th prime number is 76079. The next prime is 76081 (a gap of 2) and the one before is 76039.
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 7489th one is 76079.
- 2
76079 is prime because no prime up to ā76079 ā 275.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7489th prime is close to 7489 Ć ln(7489) ā 66811, and here it is 76079.
- 4
76079 is a twin prime: 76079 and 76081 are both prime.
Primes around the 7489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7486 | 76003 | 2 |
| 7487 | 76031 | 28 |
| 7488 | 76039 | 8 |
| 7489 | 76079 | 40 |
| 7490 | 76081 | 2 |
| 7491 | 76091 | 10 |
| 7492 | 76099 | 8 |
Questions
What is the 7489th prime number?
76079.
Which prime number is 76079?
76079 is the 7489th prime number.
What is the sum of the first 7489 primes?
269,325,214.