What is the 7393rd prime number?
The 7393rd prime number is 74959. The next prime is 75011 (a gap of 52) and the one before is 74941.
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 7393rd one is 74959.
- 2
74959 is prime because no prime up to ā74959 ā 273.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7393rd prime is close to 7393 Ć ln(7393) ā 65859, and here it is 74959.
- 4
74959 has no twin: neither 74957 nor 74961 is prime.
Primes around the 7393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7390 | 74929 | 6 |
| 7391 | 74933 | 4 |
| 7392 | 74941 | 8 |
| 7393 | 74959 | 18 |
| 7394 | 75011 | 52 |
| 7395 | 75013 | 2 |
| 7396 | 75017 | 4 |
Questions
What is the 7393rd prime number?
74959.
Which prime number is 74959?
74959 is the 7393rd prime number.
What is the sum of the first 7393 primes?
262,074,102.