What is the 7433rd prime number?
The 7433rd prime number is 75431. The next prime is 75437 (a gap of 6) and the one before is 75407.
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 7433rd one is 75431.
- 2
75431 is prime because no prime up to ā75431 ā 274.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7433rd prime is close to 7433 Ć ln(7433) ā 66255, and here it is 75431.
- 4
75431 has no twin: neither 75429 nor 75433 is prime.
Primes around the 7433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7430 | 75401 | 10 |
| 7431 | 75403 | 2 |
| 7432 | 75407 | 4 |
| 7433 | 75431 | 24 |
| 7434 | 75437 | 6 |
| 7435 | 75479 | 42 |
| 7436 | 75503 | 24 |
Questions
What is the 7433rd prime number?
75431.
Which prime number is 75431?
75431 is the 7433rd prime number.
What is the sum of the first 7433 primes?
265,083,250.