What is the 7428th prime number?
The 7428th prime number is 75389. The next prime is 75391 (a gap of 2) and the one before is 75377.
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 7428th one is 75389.
- 2
75389 is prime because no prime up to ā75389 ā 274.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7428th prime is close to 7428 Ć ln(7428) ā 66206, and here it is 75389.
- 4
75389 is a twin prime: 75389 and 75391 are both prime.
Primes around the 7428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7425 | 75353 | 6 |
| 7426 | 75367 | 14 |
| 7427 | 75377 | 10 |
| 7428 | 75389 | 12 |
| 7429 | 75391 | 2 |
| 7430 | 75401 | 10 |
| 7431 | 75403 | 2 |
Questions
What is the 7428th prime number?
75389.
Which prime number is 75389?
75389 is the 7428th prime number.
What is the sum of the first 7428 primes?
264,706,217.