What is the 7488th prime number?
The 7488th prime number is 76039. The next prime is 76079 (a gap of 40) and the one before is 76031.
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 7488th one is 76039.
- 2
76039 is prime because no prime up to ā76039 ā 275.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7488th prime is close to 7488 Ć ln(7488) ā 66801, and here it is 76039.
- 4
76039 has no twin: neither 76037 nor 76041 is prime.
Primes around the 7488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7485 | 76001 | 4 |
| 7486 | 76003 | 2 |
| 7487 | 76031 | 28 |
| 7488 | 76039 | 8 |
| 7489 | 76079 | 40 |
| 7490 | 76081 | 2 |
| 7491 | 76091 | 10 |
Questions
What is the 7488th prime number?
76039.
Which prime number is 76039?
76039 is the 7488th prime number.
What is the sum of the first 7488 primes?
269,249,135.