What is the 7304th prime number?
The 7304th prime number is 74027. The next prime is 74047 (a gap of 20) and the one before is 74021.
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 7304th one is 74027.
- 2
74027 is prime because no prime up to ā74027 ā 272.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7304th prime is close to 7304 Ć ln(7304) ā 64978, and here it is 74027.
- 4
74027 has no twin: neither 74025 nor 74029 is prime.
Primes around the 7304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7301 | 73999 | 26 |
| 7302 | 74017 | 18 |
| 7303 | 74021 | 4 |
| 7304 | 74027 | 6 |
| 7305 | 74047 | 20 |
| 7306 | 74051 | 4 |
| 7307 | 74071 | 20 |
Questions
What is the 7304th prime number?
74027.
Which prime number is 74027?
74027 is the 7304th prime number.
What is the sum of the first 7304 primes?
255,443,015.