What is the 7444th prime number?
The 7444th prime number is 75557. The next prime is 75571 (a gap of 14) and the one before is 75553.
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 7444th one is 75557.
- 2
75557 is prime because no prime up to ā75557 ā 274.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7444th prime is close to 7444 Ć ln(7444) ā 66364, and here it is 75557.
- 4
75557 has no twin: neither 75555 nor 75559 is prime.
Primes around the 7444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7441 | 75539 | 6 |
| 7442 | 75541 | 2 |
| 7443 | 75553 | 12 |
| 7444 | 75557 | 4 |
| 7445 | 75571 | 14 |
| 7446 | 75577 | 6 |
| 7447 | 75583 | 6 |
Questions
What is the 7444th prime number?
75557.
Which prime number is 75557?
75557 is the 7444th prime number.
What is the sum of the first 7444 primes?
265,913,951.