What is the 7440th prime number?
The 7440th prime number is 75533. The next prime is 75539 (a gap of 6) and the one before is 75527.
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 7440th one is 75533.
- 2
75533 is prime because no prime up to ā75533 ā 274.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7440th prime is close to 7440 Ć ln(7440) ā 66325, and here it is 75533.
- 4
75533 has no twin: neither 75531 nor 75535 is prime.
Primes around the 7440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7437 | 75511 | 8 |
| 7438 | 75521 | 10 |
| 7439 | 75527 | 6 |
| 7440 | 75533 | 6 |
| 7441 | 75539 | 6 |
| 7442 | 75541 | 2 |
| 7443 | 75553 | 12 |
Questions
What is the 7440th prime number?
75533.
Which prime number is 75533?
75533 is the 7440th prime number.
What is the sum of the first 7440 primes?
265,611,761.