What is the 7309th prime number?
The 7309th prime number is 74093. The next prime is 74099 (a gap of 6) and the one before is 74077.
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 7309th one is 74093.
- 2
74093 is prime because no prime up to ā74093 ā 272.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7309th prime is close to 7309 Ć ln(7309) ā 65027, and here it is 74093.
- 4
74093 has no twin: neither 74091 nor 74095 is prime.
Primes around the 7309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7306 | 74051 | 4 |
| 7307 | 74071 | 20 |
| 7308 | 74077 | 6 |
| 7309 | 74093 | 16 |
| 7310 | 74099 | 6 |
| 7311 | 74101 | 2 |
| 7312 | 74131 | 30 |
Questions
What is the 7309th prime number?
74093.
Which prime number is 74093?
74093 is the 7309th prime number.
What is the sum of the first 7309 primes?
255,813,354.