What is the 7487th prime number?
The 7487th prime number is 76031. The next prime is 76039 (a gap of 8) and the one before is 76003.
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 7487th one is 76031.
- 2
76031 is prime because no prime up to ā76031 ā 275.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7487th prime is close to 7487 Ć ln(7487) ā 66791, and here it is 76031.
- 4
76031 has no twin: neither 76029 nor 76033 is prime.
Primes around the 7487th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7484 | 75997 | 6 |
| 7485 | 76001 | 4 |
| 7486 | 76003 | 2 |
| 7487 | 76031 | 28 |
| 7488 | 76039 | 8 |
| 7489 | 76079 | 40 |
| 7490 | 76081 | 2 |
Questions
What is the 7487th prime number?
76031.
Which prime number is 76031?
76031 is the 7487th prime number.
What is the sum of the first 7487 primes?
269,173,096.