What is the 7390th prime number?
The 7390th prime number is 74929. The next prime is 74933 (a gap of 4) and the one before is 74923.
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 7390th one is 74929.
- 2
74929 is prime because no prime up to ā74929 ā 273.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7390th prime is close to 7390 Ć ln(7390) ā 65829, and here it is 74929.
- 4
74929 has no twin: neither 74927 nor 74931 is prime.
Primes around the 7390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7387 | 74897 | 6 |
| 7388 | 74903 | 6 |
| 7389 | 74923 | 20 |
| 7390 | 74929 | 6 |
| 7391 | 74933 | 4 |
| 7392 | 74941 | 8 |
| 7393 | 74959 | 18 |
Questions
What is the 7390th prime number?
74929.
Which prime number is 74929?
74929 is the 7390th prime number.
What is the sum of the first 7390 primes?
261,849,269.