What is the 7389th prime number?
The 7389th prime number is 74923. The next prime is 74929 (a gap of 6) and the one before is 74903.
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 7389th one is 74923.
- 2
74923 is prime because no prime up to ā74923 ā 273.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7389th prime is close to 7389 Ć ln(7389) ā 65819, and here it is 74923.
- 4
74923 has no twin: neither 74921 nor 74925 is prime.
Primes around the 7389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7386 | 74891 | 4 |
| 7387 | 74897 | 6 |
| 7388 | 74903 | 6 |
| 7389 | 74923 | 20 |
| 7390 | 74929 | 6 |
| 7391 | 74933 | 4 |
| 7392 | 74941 | 8 |
Questions
What is the 7389th prime number?
74923.
Which prime number is 74923?
74923 is the 7389th prime number.
What is the sum of the first 7389 primes?
261,774,340.