What is the 7441st prime number?
The 7441st prime number is 75539. The next prime is 75541 (a gap of 2) and the one before is 75533.
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 7441st one is 75539.
- 2
75539 is prime because no prime up to ā75539 ā 274.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7441st prime is close to 7441 Ć ln(7441) ā 66335, and here it is 75539.
- 4
75539 is a twin prime: 75539 and 75541 are both prime.
Primes around the 7441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7438 | 75521 | 10 |
| 7439 | 75527 | 6 |
| 7440 | 75533 | 6 |
| 7441 | 75539 | 6 |
| 7442 | 75541 | 2 |
| 7443 | 75553 | 12 |
| 7444 | 75557 | 4 |
Questions
What is the 7441st prime number?
75539.
Which prime number is 75539?
75539 is the 7441st prime number.
What is the sum of the first 7441 primes?
265,687,300.