What is the 7442nd prime number?
The 7442nd prime number is 75541. The next prime is 75553 (a gap of 12) and the one before is 75539.
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 7442nd one is 75541.
- 2
75541 is prime because no prime up to ā75541 ā 274.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7442nd prime is close to 7442 Ć ln(7442) ā 66345, and here it is 75541.
- 4
75541 is a twin prime: 75539 and 75541 are both prime.
Primes around the 7442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7439 | 75527 | 6 |
| 7440 | 75533 | 6 |
| 7441 | 75539 | 6 |
| 7442 | 75541 | 2 |
| 7443 | 75553 | 12 |
| 7444 | 75557 | 4 |
| 7445 | 75571 | 14 |
Questions
What is the 7442nd prime number?
75541.
Which prime number is 75541?
75541 is the 7442nd prime number.
What is the sum of the first 7442 primes?
265,762,841.