What is the 7404th prime number?
The 7404th prime number is 75149. The next prime is 75161 (a gap of 12) and the one before is 75133.
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 7404th one is 75149.
- 2
75149 is prime because no prime up to ā75149 ā 274.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7404th prime is close to 7404 Ć ln(7404) ā 65968, and here it is 75149.
- 4
75149 has no twin: neither 75147 nor 75151 is prime.
Primes around the 7404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7401 | 75083 | 4 |
| 7402 | 75109 | 26 |
| 7403 | 75133 | 24 |
| 7404 | 75149 | 16 |
| 7405 | 75161 | 12 |
| 7406 | 75167 | 6 |
| 7407 | 75169 | 2 |
Questions
What is the 7404th prime number?
75149.
Which prime number is 75149?
75149 is the 7404th prime number.
What is the sum of the first 7404 primes?
262,899,803.