What is the 7430th prime number?
The 7430th prime number is 75401. The next prime is 75403 (a gap of 2) and the one before is 75391.
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 7430th one is 75401.
- 2
75401 is prime because no prime up to ā75401 ā 274.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7430th prime is close to 7430 Ć ln(7430) ā 66226, and here it is 75401.
- 4
75401 is a twin prime: 75401 and 75403 are both prime.
Primes around the 7430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7427 | 75377 | 10 |
| 7428 | 75389 | 12 |
| 7429 | 75391 | 2 |
| 7430 | 75401 | 10 |
| 7431 | 75403 | 2 |
| 7432 | 75407 | 4 |
| 7433 | 75431 | 24 |
Questions
What is the 7430th prime number?
75401.
Which prime number is 75401?
75401 is the 7430th prime number.
What is the sum of the first 7430 primes?
264,857,009.