What is the 7406th prime number?
The 7406th prime number is 75167. The next prime is 75169 (a gap of 2) and the one before is 75161.
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 7406th one is 75167.
- 2
75167 is prime because no prime up to ā75167 ā 274.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7406th prime is close to 7406 Ć ln(7406) ā 65988, and here it is 75167.
- 4
75167 is a twin prime: 75167 and 75169 are both prime.
Primes around the 7406th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7403 | 75133 | 24 |
| 7404 | 75149 | 16 |
| 7405 | 75161 | 12 |
| 7406 | 75167 | 6 |
| 7407 | 75169 | 2 |
| 7408 | 75181 | 12 |
| 7409 | 75193 | 12 |
Questions
What is the 7406th prime number?
75167.
Which prime number is 75167?
75167 is the 7406th prime number.
What is the sum of the first 7406 primes?
263,050,131.