What is the 7396th prime number?
The 7396th prime number is 75017. The next prime is 75029 (a gap of 12) and the one before is 75013.
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 7396th one is 75017.
- 2
75017 is prime because no prime up to ā75017 ā 273.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7396th prime is close to 7396 Ć ln(7396) ā 65889, and here it is 75017.
- 4
75017 has no twin: neither 75015 nor 75019 is prime.
Primes around the 7396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7393 | 74959 | 18 |
| 7394 | 75011 | 52 |
| 7395 | 75013 | 2 |
| 7396 | 75017 | 4 |
| 7397 | 75029 | 12 |
| 7398 | 75037 | 8 |
| 7399 | 75041 | 4 |
Questions
What is the 7396th prime number?
75017.
Which prime number is 75017?
75017 is the 7396th prime number.
What is the sum of the first 7396 primes?
262,299,143.