What is the 7490th prime number?
The 7490th prime number is 76081. The next prime is 76091 (a gap of 10) and the one before is 76079.
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 7490th one is 76081.
- 2
76081 is prime because no prime up to ā76081 ā 275.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7490th prime is close to 7490 Ć ln(7490) ā 66821, and here it is 76081.
- 4
76081 is a twin prime: 76079 and 76081 are both prime.
Primes around the 7490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7487 | 76031 | 28 |
| 7488 | 76039 | 8 |
| 7489 | 76079 | 40 |
| 7490 | 76081 | 2 |
| 7491 | 76091 | 10 |
| 7492 | 76099 | 8 |
| 7493 | 76103 | 4 |
Questions
What is the 7490th prime number?
76081.
Which prime number is 76081?
76081 is the 7490th prime number.
What is the sum of the first 7490 primes?
269,401,295.