What is the 7443rd prime number?
The 7443rd prime number is 75553. The next prime is 75557 (a gap of 4) and the one before is 75541.
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 7443rd one is 75553.
- 2
75553 is prime because no prime up to ā75553 ā 274.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7443rd prime is close to 7443 Ć ln(7443) ā 66355, and here it is 75553.
- 4
75553 has no twin: neither 75551 nor 75555 is prime.
Primes around the 7443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7440 | 75533 | 6 |
| 7441 | 75539 | 6 |
| 7442 | 75541 | 2 |
| 7443 | 75553 | 12 |
| 7444 | 75557 | 4 |
| 7445 | 75571 | 14 |
| 7446 | 75577 | 6 |
Questions
What is the 7443rd prime number?
75553.
Which prime number is 75553?
75553 is the 7443rd prime number.
What is the sum of the first 7443 primes?
265,838,394.