What is the 7305th prime number?
The 7305th prime number is 74047. The next prime is 74051 (a gap of 4) and the one before is 74027.
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 7305th one is 74047.
- 2
74047 is prime because no prime up to ā74047 ā 272.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7305th prime is close to 7305 Ć ln(7305) ā 64988, and here it is 74047.
- 4
74047 has no twin: neither 74045 nor 74049 is prime.
Primes around the 7305th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7302 | 74017 | 18 |
| 7303 | 74021 | 4 |
| 7304 | 74027 | 6 |
| 7305 | 74047 | 20 |
| 7306 | 74051 | 4 |
| 7307 | 74071 | 20 |
| 7308 | 74077 | 6 |
Questions
What is the 7305th prime number?
74047.
Which prime number is 74047?
74047 is the 7305th prime number.
What is the sum of the first 7305 primes?
255,517,062.