What is the 7394th prime number?
The 7394th prime number is 75011. The next prime is 75013 (a gap of 2) and the one before is 74959.
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 7394th one is 75011.
- 2
75011 is prime because no prime up to ā75011 ā 273.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7394th prime is close to 7394 Ć ln(7394) ā 65869, and here it is 75011.
- 4
75011 is a twin prime: 75011 and 75013 are both prime.
Primes around the 7394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7391 | 74933 | 4 |
| 7392 | 74941 | 8 |
| 7393 | 74959 | 18 |
| 7394 | 75011 | 52 |
| 7395 | 75013 | 2 |
| 7396 | 75017 | 4 |
| 7397 | 75029 | 12 |
Questions
What is the 7394th prime number?
75011.
Which prime number is 75011?
75011 is the 7394th prime number.
What is the sum of the first 7394 primes?
262,149,113.