What is the 7372nd prime number?
The 7372nd prime number is 74759. The next prime is 74761 (a gap of 2) and the one before is 74747.
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 7372nd one is 74759.
- 2
74759 is prime because no prime up to ā74759 ā 273.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7372nd prime is close to 7372 Ć ln(7372) ā 65651, and here it is 74759.
- 4
74759 is a twin prime: 74759 and 74761 are both prime.
Primes around the 7372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7369 | 74729 | 10 |
| 7370 | 74731 | 2 |
| 7371 | 74747 | 16 |
| 7372 | 74759 | 12 |
| 7373 | 74761 | 2 |
| 7374 | 74771 | 10 |
| 7375 | 74779 | 8 |
Questions
What is the 7372nd prime number?
74759.
Which prime number is 74759?
74759 is the 7372nd prime number.
What is the sum of the first 7372 primes?
260,501,949.