What is the 7479th prime number?
The 7479th prime number is 75967. The next prime is 75979 (a gap of 12) and the one before is 75941.
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 7479th one is 75967.
- 2
75967 is prime because no prime up to ā75967 ā 275.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7479th prime is close to 7479 Ć ln(7479) ā 66712, and here it is 75967.
- 4
75967 has no twin: neither 75965 nor 75969 is prime.
Primes around the 7479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7476 | 75931 | 18 |
| 7477 | 75937 | 6 |
| 7478 | 75941 | 4 |
| 7479 | 75967 | 26 |
| 7480 | 75979 | 12 |
| 7481 | 75983 | 4 |
| 7482 | 75989 | 6 |
Questions
What is the 7479th prime number?
75967.
Which prime number is 75967?
75967 is the 7479th prime number.
What is the sum of the first 7479 primes?
268,565,122.