What is the 7399th prime number?
The 7399th prime number is 75041. The next prime is 75079 (a gap of 38) and the one before is 75037.
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 7399th one is 75041.
- 2
75041 is prime because no prime up to ā75041 ā 273.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7399th prime is close to 7399 Ć ln(7399) ā 65918, and here it is 75041.
- 4
75041 has no twin: neither 75039 nor 75043 is prime.
Primes around the 7399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7396 | 75017 | 4 |
| 7397 | 75029 | 12 |
| 7398 | 75037 | 8 |
| 7399 | 75041 | 4 |
| 7400 | 75079 | 38 |
| 7401 | 75083 | 4 |
| 7402 | 75109 | 26 |
Questions
What is the 7399th prime number?
75041.
Which prime number is 75041?
75041 is the 7399th prime number.
What is the sum of the first 7399 primes?
262,524,250.