What is the 7407th prime number?
The 7407th prime number is 75169. The next prime is 75181 (a gap of 12) and the one before is 75167.
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 7407th one is 75169.
- 2
75169 is prime because no prime up to ā75169 ā 274.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7407th prime is close to 7407 Ć ln(7407) ā 65998, and here it is 75169.
- 4
75169 is a twin prime: 75167 and 75169 are both prime.
Primes around the 7407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7404 | 75149 | 16 |
| 7405 | 75161 | 12 |
| 7406 | 75167 | 6 |
| 7407 | 75169 | 2 |
| 7408 | 75181 | 12 |
| 7409 | 75193 | 12 |
| 7410 | 75209 | 16 |
Questions
What is the 7407th prime number?
75169.
Which prime number is 75169?
75169 is the 7407th prime number.
What is the sum of the first 7407 primes?
263,125,300.