What is the 7392nd prime number?
The 7392nd prime number is 74941. The next prime is 74959 (a gap of 18) and the one before is 74933.
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 7392nd one is 74941.
- 2
74941 is prime because no prime up to ā74941 ā 273.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7392nd prime is close to 7392 Ć ln(7392) ā 65849, and here it is 74941.
- 4
74941 has no twin: neither 74939 nor 74943 is prime.
Primes around the 7392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7389 | 74923 | 20 |
| 7390 | 74929 | 6 |
| 7391 | 74933 | 4 |
| 7392 | 74941 | 8 |
| 7393 | 74959 | 18 |
| 7394 | 75011 | 52 |
| 7395 | 75013 | 2 |
Questions
What is the 7392nd prime number?
74941.
Which prime number is 74941?
74941 is the 7392nd prime number.
What is the sum of the first 7392 primes?
261,999,143.