What is the 7405th prime number?
The 7405th prime number is 75161. The next prime is 75167 (a gap of 6) and the one before is 75149.
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 7405th one is 75161.
- 2
75161 is prime because no prime up to ā75161 ā 274.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7405th prime is close to 7405 Ć ln(7405) ā 65978, and here it is 75161.
- 4
75161 has no twin: neither 75159 nor 75163 is prime.
Primes around the 7405th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7402 | 75109 | 26 |
| 7403 | 75133 | 24 |
| 7404 | 75149 | 16 |
| 7405 | 75161 | 12 |
| 7406 | 75167 | 6 |
| 7407 | 75169 | 2 |
| 7408 | 75181 | 12 |
Questions
What is the 7405th prime number?
75161.
Which prime number is 75161?
75161 is the 7405th prime number.
What is the sum of the first 7405 primes?
262,974,964.